## Question

###### Consider the following initial-value problem_ Y 2y = 0, y(0) 1,Y(0) 2 Solve the given problem first using the form of the general solution given in (10) in Section 4.3. Y = Ciekx + ~kx Cze (10) 2 +1 V2x + 1-V2 CV2x y(x) e 2 2Solve again, this time using the form given in (11) in Section 4.3_ y = C1 cosh kx + C2 sinh kx (11)y(x)

Consider the following initial-value problem_ Y 2y = 0, y(0) 1,Y(0) 2 Solve the given problem first using the form of the general solution given in (10) in Section 4.3. Y = Ciekx + ~kx Cze (10) 2 +1 V2x + 1-V2 CV2x y(x) e 2 2 Solve again, this time using the form given in (11) in Section 4.3_ y = C1 cosh kx + C2 sinh kx (11) y(x)

## Answers

#### Similar Solved Questions

4 answers

##### 24. In organisms thc Cncrgy nceded t0 start 1 chemical reaction typically provided by the reactant molecules themselvcs the catalyst (such a5 an cnzymc) sOInC cnagy input from the surrounding environmcnt such a9an Cncrgy molecule (c & _ ATP) light the transition sale25. The " induccd fit" model of cnzyme function Sugeests that cnzymes are able to catalyze chcmical Icuctiots by providing thc neccssary activation cncgy attaching inorganic phosphatc molecules l0 thcir active sitcs rc

24. In organisms thc Cncrgy nceded t0 start 1 chemical reaction typically provided by the reactant molecules themselvcs the catalyst (such a5 an cnzymc) sOInC cnagy input from the surrounding environmcnt such a9an Cncrgy molecule (c & _ ATP) light the transition sale 25. The " induccd fit&...

5 answers

##### Kinetics AND EQUiLiBRIUM Calculating on equlllbrium constant Irom partial equiiibAMmcnia "II decomdosonitrogenhydrogen high tcmpcrature An Industrial ckerest studying thls reocton nik _ 25.0 tank with 2.8 mol . ot 31, "â‚¬ . Hc thcn raiscs thc tcmpcraturc Khcnthemlrturt 74: comc cqullibrium measures the amount ntrogen 0.98 _ mulaammonizCalculate dod-concentntion equilibrium constant for the decompositionJmmonlatne fina temperature ol the mixturc Roung YcuraNemverto cipnficantD-lo

Kinetics AND EQUiLiBRIUM Calculating on equlllbrium constant Irom partial equiiib AMmcnia "II decomdoso nitrogen hydrogen high tcmpcrature An Industrial ckerest studying thls reocton nik _ 25.0 tank with 2.8 mol . ot 31, "â‚¬ . Hc thcn raiscs thc tcmpcraturc Khcnthemlrturt 74: comc cqu...

5 answers

##### Value; oligochaele 5 (Ceosearcpen) 1 1 phylum V a Inouth pplun 1Valuesymmebtical 1 U 1

Value; oligochaele 5 (Ceosearcpen) 1 1 phylum V a Inouth pplun 1 Value symmebtical 1 U 1...

5 answers

##### Find the critical points of the following bivariate functions and evaluate the signs of fzr; fyy and fzrfyy (fzy)? at the critical points.f(z,y) = 22 Ty + y? + 2x + 2y - 4 f(z,y) = -(r - 1)2 _ (y _ 2)2 +4 f(x,y) = 2xy 522 _ 2y? + 4x + 4y - 4 f(z,y) = x2 +xy + 32 + 2y + 5

Find the critical points of the following bivariate functions and evaluate the signs of fzr; fyy and fzrfyy (fzy)? at the critical points. f(z,y) = 22 Ty + y? + 2x + 2y - 4 f(z,y) = -(r - 1)2 _ (y _ 2)2 +4 f(x,y) = 2xy 522 _ 2y? + 4x + 4y - 4 f(z,y) = x2 +xy + 32 + 2y + 5...

5 answers

##### Ueiltty ue solutions as saturated or supersaturated, Solubility information is given in the table. Solute Solubility in water sucrose (table sugar) 179.2 g/100 g H,O at 0 % NaCl (salt) 35.7 8/100 gH,O at 0 % atenolol (antihypertensive drug) 26.5 mg/1 mg H,O at 37 % vitamin C 33 g/100 g H,O at 20 %C

ueiltty ue solutions as saturated or supersaturated, Solubility information is given in the table. Solute Solubility in water sucrose (table sugar) 179.2 g/100 g H,O at 0 % NaCl (salt) 35.7 8/100 gH,O at 0 % atenolol (antihypertensive drug) 26.5 mg/1 mg H,O at 37 % vitamin C 33 g/100 g H,O at 20 %C...

5 answers

##### Sutcun AllcatuiAki " Cm #aneIbe Ienl and} ilglat > Hualunttu duly ;"UT Ws"tt Kntl MM "IAt

Sutcun Allcatui Aki " Cm # aneIbe Ienl and} ilglat > Hualunttu duly ;"UT Ws"tt Kntl MM "IAt...

5 answers

##### The sequence is formed by shading a number of squares. The area of one of the square forming the grid is 4 cm?. Complete the Sth pattern in the sequence and find its perimeter on the grid below:Ist2nd3rdAthSth

The sequence is formed by shading a number of squares. The area of one of the square forming the grid is 4 cm?. Complete the Sth pattern in the sequence and find its perimeter on the grid below: Ist 2nd 3rd Ath Sth...

5 answers

##### InoiniArrylonitrileisa buildlng blck tor mJny Iastics and over billion pounds Jrc prodlced each year In tta USA The uphxlnccd chemical cquaclo1 Catb+02+NH; Cyhyn Hzo5COx 10?gotCyHaaremixed #th 5.COx 10*gol NH_ ard 1O* 10"go0z Whichreectant athe Imillngreactant? If thcre Isno l mlelng rcactant; select "No Llmitlng Reactane' NH) Nollmitig Rextnnt ApC_HSN Ch6#ecale

Inoini Arrylonitrileisa buildlng blck tor mJny Iastics and over billion pounds Jrc prodlced each year In tta USA The uphxlnccd chemical cquaclo1 Catb+02+NH; Cyhyn Hzo 5COx 10?gotCyHaaremixed #th 5.COx 10*gol NH_ ard 1O* 10"go0z Whichreectant athe Imillngreactant? If thcre Isno l mlelng rcactan...

5 answers

##### Find the domain of the function $y=f(x)$ where $3^{y}+2^{x^{4}}=2^{4 x^{2}-3}$

Find the domain of the function $y=f(x)$ where $3^{y}+2^{x^{4}}=2^{4 x^{2}-3}$...

5 answers

##### Find the general or particular solution, as indicated, for each first-order differential equation.$$rac{d y}{d x}=rac{7}{x}$$

Find the general or particular solution, as indicated, for each first-order differential equation. $$ \frac{d y}{d x}=\frac{7}{x} $$...

5 answers

##### "13aJ102 5/95341/0 aUONYauaym 6 LX 18I+ 3^3 u[ 52 ) #aJa4m L4T "8+3^ u8 = ?3 "&Z ) Yajaym 147+3/3u[ =2Z 3 %aua4m L4T 2 +aw3 = 2 18 8 842 = 2'0 = %3 3 + .31841 yons z squlod IID puy 01 SUYHJeBop xajduoj asr

"13aJ102 5/95341/0 aUON Yauaym 6 LX 18 I+ 3^3 u[ 5 2 ) #aJa4m L4T "8 +3^ u8 = ? 3 "& Z ) Yajaym 147 +3/3u[ =2 Z 3 %aua4m L4T 2 +aw3 = 2 18 8 842 = 2 '0 = %3 3 + .31841 yons z squlod IID puy 01 SUYHJeBop xajduoj asr...

5 answers

##### For this problem, you are asked to consider the setup of two masses connected over a pulley as shown in the Figure_11m20a) First, assume the pulley is "massless" Derive an expression for the acceleration of the masses_ There are two ways t0 do this, please demonstrate both Be sure to follow the rubric and clearly explain what You are doing and why:b) Now let the pulley have mass mp Use any method to derive the acceleration of the system: Verify (show explicitly) that you get_ sensible

For this problem, you are asked to consider the setup of two masses connected over a pulley as shown in the Figure_ 11 m2 0 a) First, assume the pulley is "massless" Derive an expression for the acceleration of the masses_ There are two ways t0 do this, please demonstrate both Be sure to f...

5 answers

##### Determine the limit points and the isolated points of each of the following sets {1-Y'.nen} {cv mnen} (0,1) U {2} e Rio [ on(, i)

Determine the limit points and the isolated points of each of the following sets {1-Y'.nen} {cv mnen} (0,1) U {2} e Rio [ on(, i)...

5 answers

##### Consider a particle collider that collides electrons withpositrons. These electrons and positrons each circulate in thecollider in opposite directions as little cylindrical groups ofradius 0.6 mm. In each group there are 6.1Ã—1013 particles.Collisions occur with a frequency of 5.7 MHz. The cross section forthe reaction at 9.9 GeV is Ïƒ=1970 mb. Calculate the rate ofreaction in reaction/s

Consider a particle collider that collides electrons with positrons. These electrons and positrons each circulate in the collider in opposite directions as little cylindrical groups of radius 0.6 mm. In each group there are 6.1Ã—1013 particles. Collisions occur with a frequency of 5.7 MHz. The cr...

5 answers

##### You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. how many randomly selected air passengers must you surver? assume that you want to be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage. assume that a prior surver suggests that about 33% of air passengers prefer an aisle seats.n = __

you are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. how many randomly selected air passengers must you surver? assume that you want to be 90% confident that the sample percentage is within 3.5 percentage points of the true populati...

5 answers

##### Problem 6 _ (15 points ) A computer reserves path in a network for 10 minutes To extend the reservation the computerRensselaer Polytechnic InstituteECSE DepartmentECSE 2500 _ Engineering Probability_June 10,2020must successfully send a "refresh" message before the expiry time However; messages are lost with probability 0.1 Suppose that it takes 10 seconds to send a refresh request and receive acknowledgment: When should the computer start sending refresh messages in order to have a 959

Problem 6 _ (15 points ) A computer reserves path in a network for 10 minutes To extend the reservation the computer Rensselaer Polytechnic Institute ECSE Department ECSE 2500 _ Engineering Probability_ June 10,2020 must successfully send a "refresh" message before the expiry time However;...

5 answers

##### Tank in the shape of a circular cylinder is 12 ft tall and has radius of 5. [10 pts] is filled with water t0 depth of 5 ft. Find the work required to empty the tank by pumping all of the water through spigot located 2 ft above the top of the tank Remember that water weighs 62.5 [b/ft' _5ey Wof+Iaft

tank in the shape of a circular cylinder is 12 ft tall and has radius of 5. [10 pts] is filled with water t0 depth of 5 ft. Find the work required to empty the tank by pumping all of the water through spigot located 2 ft above the top of the tank Remember that water weighs 62.5 [b/ft' _ 5ey W...

5 answers

##### Voltaic cell is constructed from standard Pb"t Pb half cell (E"red ~ ~01Z6V) and standard AHtIAI balf ccll (E' And -1.660V).The anodc rcaction is:The cathode reaction is:The spontaneous cell reaction isThe cell voltage is

voltaic cell is constructed from standard Pb"t Pb half cell (E"red ~ ~01Z6V) and standard AHtIAI balf ccll (E' And -1.660V). The anodc rcaction is: The cathode reaction is: The spontaneous cell reaction is The cell voltage is...

4 answers

##### 2.(14 points) Let F(w,y) = (y + 2xy2,1 + 2x2y) be a vector field on R?. Explain why F is a gradient field. (2) Find potential function of F. (3) Evaluate the line integral LF.d3, where &t) is the curve given by at) = (sin? t, ecost), 0 <t < w/2_

2.(14 points) Let F(w,y) = (y + 2xy2,1 + 2x2y) be a vector field on R?. Explain why F is a gradient field. (2) Find potential function of F. (3) Evaluate the line integral LF.d3, where &t) is the curve given by at) = (sin? t, ecost), 0 <t < w/2_...

5 answers

##### [email protected] For the reaction; Hzlg) Ilg) 2 Hllg) K = 54.9at 899.0 K A 2.50 moles of HI and 2.12 moles of Iz " ina 5.00 system, at equilibrium contains in the container? liter vessel. How many moles of Hz should there be CuCMhO 0537 moles ~ 9TOvc 0.380 moles 0215 moles 0.0107 moles "A` 377 2.12 molesA study of the system_ NHs(g) 7 O-(g) NOs(g) 6 H,O(g), was carried out. A system was prepared with [NH;] [Oz] 3.60 M as the only components initially Al equilibrium; (N,o ] is 0.60 M, Calcul

[email protected] For the reaction; Hzlg) Ilg) 2 Hllg) K = 54.9at 899.0 K A 2.50 moles of HI and 2.12 moles of Iz " ina 5.00 system, at equilibrium contains in the container? liter vessel. How many moles of Hz should there be CuCMhO 0537 moles ~ 9TOvc 0.380 moles 0215 moles 0.0107 moles "A` 377 ...