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# Exercise 6: (10 points) Solve the following initial value problem using Laplace transform: If necessary; use convolution integral to express its solution or part of...

## Question

###### Exercise 6: (10 points) Solve the following initial value problem using Laplace transform: If necessary; use convolution integral to express its solution or part of its solution: + 2y' + 2y = e-t _ 8(t - 4), y(0) = 2, y(0) = -5Note: do not use partial fractions

Exercise 6: (10 points) Solve the following initial value problem using Laplace transform: If necessary; use convolution integral to express its solution or part of its solution: + 2y' + 2y = e-t _ 8(t - 4), y(0) = 2, y(0) = -5 Note: do not use partial fractions  #### Similar Solved Questions

##### I8 Consider the equilibrium reaction of nitrogen and oxygen to produce nitrogen monoxide. At a certain temperature the equilibrium constant for the reaction is 0.0255_ What is the partial pressure of nitrogen monoxide gas at equilibrium if the initial pressure of all the gases (both reactants and products) is 0.300 atm?Answer #18
I8 Consider the equilibrium reaction of nitrogen and oxygen to produce nitrogen monoxide. At a certain temperature the equilibrium constant for the reaction is 0.0255_ What is the partial pressure of nitrogen monoxide gas at equilibrium if the initial pressure of all the gases (both reactants and pr...
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Jice - x) {=Y 4 Supues ' {i6-7) {z-)}={'djos SuJ31 Iuanbasuo) Inoj J1M L (xe)soo (r)f jo [eqoufjod ULnepBWN Jo SWLRI 0J3Z-UOU 33141 ISJY PU!I 'T~xt+_*t *E = (r)f uopuny 941 J0} [= = ) JE p3.JJUJ) [BQWOUAjod JOLAEL J315ap PJIYI 341 PUL[...
##### Problem(10 . poinls) Find the derivatives for a) f() e7 (ln(73) _ 1) b) g(z) In(7x?)(e =" + 3c)
Problem (10 . poinls) Find the derivatives for a) f() e7 (ln(73) _ 1) b) g(z) In(7x?)(e =" + 3c)...
##### An inductor with 0.30040.0 mH has currentat?flowing through it; Here6.50 Als b = 4.00 A/s; and(a) Find an expression for the induced emf in terms of the given variables (Use the following as necessary: Do not enter any units Assume SI units_What is the magnitude of the induced emf at the end of 4.00 5?Determine the time (after0) at which the magnitude of the emf will be six times its value at
An inductor with 0.300 40.0 mH has current at? flowing through it; Here 6.50 Als b = 4.00 A/s; and (a) Find an expression for the induced emf in terms of the given variables (Use the following as necessary: Do not enter any units Assume SI units_ What is the magnitude of the induced emf at the end o...
#####  box: O*ST Jo 418u21 |ej0} the fill has diagram 01 teres, from diverging information from 8 ; 8 ; pazetd diagram W cm 1 'WJ
 box: O*ST Jo 418u21 |ej0} the fill has diagram 01 teres, from diverging information from 8 ; 8 ; pazetd diagram W cm 1 'WJ...
##### FALL 2018 MATH 1324 Section 5005Ashleigh Vaughan12/10/18 10.33 PMth Homework: Section 8 1 Homework Save Score: 0 of 19 0f 20 (15 complete) HW Score: 72.5% , 14.5 of 20 pts E S1 LEd Gen Interest 8.1.53 Question Help FAIH A game consists of asking 20 questions to determine person, place thing that the other person thinking of. The first question, which is alwvays "Is it an animal, vegetable_ or mineral?" , has three possible answers AIl other questions must be ansiered " Yes"
FALL 2018 MATH 1324 Section 5005 Ashleigh Vaughan 12/10/18 10.33 PM th Homework: Section 8 1 Homework Save Score: 0 of 19 0f 20 (15 complete) HW Score: 72.5% , 14.5 of 20 pts E S1 LEd Gen Interest 8.1.53 Question Help FAIH A game consists of asking 20 questions to determine person, place thing that...
##### Let G be a finite group and q be a prime. (a) State Cauchy's theorem (hypothesis and conclusion) for G and g. (b) Suppose that every element in G has order equal to a power of a prime p. Show that |G| must: also be a power of p. (c) Suppose k Z 1 is an integer: Show that the map G + G: â‚¬ + z* is a bijection if and only if gcd(k, IG)) = 1_
Let G be a finite group and q be a prime. (a) State Cauchy's theorem (hypothesis and conclusion) for G and g. (b) Suppose that every element in G has order equal to a power of a prime p. Show that |G| must: also be a power of p. (c) Suppose k Z 1 is an integer: Show that the map G + G: â‚¬ ...
##### A forced spring-mass system satisfies 3 +Kr = sin t,z(0) = #(0) = 0.Find the Iaximum value of the spring constant K such that-the steady-state displacement Tp(t) never goes above meter. Find the value of K by hand, and then plot the solution (perhaps use computer algebra system_
A forced spring-mass system satisfies 3 +Kr = sin t, z(0) = #(0) = 0. Find the Iaximum value of the spring constant K such that-the steady-state displacement Tp(t) never goes above meter. Find the value of K by hand, and then plot the solution (perhaps use computer algebra system_...
##### Mr: and Mrs. Britainnia run a biscuit factory: Their biscuits are made with flour; sugar; palm oil, and butter: The number of boxes of biscuits they produce is given by a technology f(fl, su, pO, bu) min{ fl, su,po + 3 x bu} where fl and SU are the numbers of bags of plain flour and sugar; po is the number of canisters of palm oil, and bu is the number of canisters of butter: The price of a bag of flour is Rs. 200. The price of a bag of sugar is Rs. 500. The price of a canister of peanut oil is
Mr: and Mrs. Britainnia run a biscuit factory: Their biscuits are made with flour; sugar; palm oil, and butter: The number of boxes of biscuits they produce is given by a technology f(fl, su, pO, bu) min{ fl, su,po + 3 x bu} where fl and SU are the numbers of bags of plain flour and sugar; po is the...
##### Two Chalr Conformatlons _ ona with tho (butoxy ((8u0) group axlal and (he othor wlth the (BuO group gquatorlalIUPAC name:
Two Chalr Conformatlons _ ona with tho (butoxy ((8u0) group axlal and (he othor wlth the (BuO group gquatorlal IUPAC name:...
##### QUESTION 6Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified Ilne: Sketch the region and the solid. v=Tx;Osxsl; about the X-axis_
QUESTION 6 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified Ilne: Sketch the region and the solid. v=Tx;Osxsl; about the X-axis_...
##### 2. ( points) Analyze the function f (2 - Specifically: identify where the function is increasing and decreasing as Well as whether it has an extreme value. Show all WOrk
2. ( points) Analyze the function f (2 - Specifically: identify where the function is increasing and decreasing as Well as whether it has an extreme value. Show all WOrk...
##### Utorialasdiontauil Bepx0%) Probkon Il: The lowest frequency Ihe FM radio band is 88.0 MHz50%" Part (4) In Ordkr consle capicitor?AC cnulHlenaemt choublconblmd wtth 4 26 pFGut naerenlFolcnmlSubnxettam Acemalmmhi pet Ktchy Ucdceslno)4Q Asiu) acotanLano) cotng uto 0) hlMG sinho cosho Lanl() cotanlu Deun Radians
Utorialasdiontauil Bepx 0%) Probkon Il: The lowest frequency Ihe FM radio band is 88.0 MHz 50%" Part (4) In Ordkr consle capicitor? AC cnul Hlenaemt choubl conblmd wtth 4 26 pF Gut naerenl Folcnml Subnxettam Acemalmmhi pet Ktchy Ucdce slno) 4Q Asiu) acotan Lano) cotng uto 0) hlMG sinho cosho La...
##### 05 Question (2 points) See page 810 ApH buffer isa solution that resists changes in pH when acids or bases are added toit-typically, a solution of weak acid and conjugate base:Ath attemptPart 1 (1 pt)FeedbackJ See Periodic TableSee HintWhat 2ooesofdimethylamine and dimethylammonium chloride do youneed to prepare LOO L of PH= 1200 buffer if the total concentrationof the two components is 0.500 M? Mass of dimethylaminePart2 (1 pt)FecdbackSee HintMass of dimethylammonium chloride =
05 Question (2 points) See page 810 ApH buffer isa solution that resists changes in pH when acids or bases are added toit-typically, a solution of weak acid and conjugate base: Ath attempt Part 1 (1 pt) Feedback J See Periodic Table See Hint What 2ooesofdimethylamine and dimethylammonium chloride do...
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Quarcrbad Gucs tc ball fron scnmtjol; Nuns Deworde Tatanothin Nuns Hotmin Naelel [0 (a Iita (omal Futtetrakhidotnield_ Ptrperdiculb tohe r acnmmuct ontar (In rer) (albellmen Enonalrrinn Jedmtade lot l45rurds At thlt punlikn irote EeGinzncu...