## Question

###### Solve the given integral equation or integro-differential equation for y(t). t y' (t) + y(t) -...

Solve the given integral equation or integro-differential equation for y(t). t y' (t) + y(t) - y(v) sin (t - v) dv = - 10 sint, y(0) = 10 Syru 0 y(t) =

## Answers

solution ; 270) = 10 y' (+ 9 + 964) - Jasin (+-10) 74W) du = -10 Sint now using convolution theorem rheabone equn cambe writen as y '(t) + G) – F(4) * 2 t) - 10 sint F (+= sint (where +-) (& Ft) 3 = 1 F (+) do 3 S since-w3 yule taking Laplace with siek meget La' (t)} + 2430} – 28 ) BG)507 ཅན Now =10L a $1$@} - 700) + L5793} - 2.5 sine} L434) -10 L L{sine} SLER)} & 10th i 10 tuhhar 14gt 2{ (+)} 24o. I 1+32 키 Ls 0} (3+1 1792 750) -10 1492 (since 260)=10 )-10 +10+105 (+5) (+35) less los 7 last losh 105 » LS 6)} ( (+14) at set 33 +145-1 3703} ( *** 435) its? 2236)} 33+5+5) esy(t)} 33+575 7 436)} 7: $ 567 {5 + 25 : +62 +1Gt 2230} (3 + 2) + 124 ? - (s + 2) - 1 (3 + 2) + 3 105 375 +1 s - 10 10 2 -10x2. 72 364} = 10 (5+ 3) (3+1) 7 (12) 2384419 670 7 L 70)} = 10 (sif) 7 (3) 536 Now taking eaplane inverse both side 105 3 + 2 210 L 17 L { 34} - (95) *it (t) = 10 e 2 cos dat. cos sin dat since (3=100) et zinket 121 =e (8+137 ly(t) = 10 e cost lo e costat sin egt

#### Similar Solved Questions

2 answers

##### SALES: A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sales x cans of soda pop in one day , his profit (in dollars) is given by P(x)= -0.001x^2+3x-1800

SALES: A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sales x cans of soda pop in one day , his profit (in dollars) is given by P(x)= -0.001x^2+3x-1800...

1 answers

##### How do I without using my calculator, solve the following equation?

#csc^2#x-4=0 I changed it so that I have #sinx=1/2# and #sinx =-1/2# The next step I'm a bit unsure of because I got some answers, but half of them were wrong....

1 answers

##### Crede Company budgeted selling expenses of $30,900 in January, $34,600 in February, and $39,100 in March....

Crede Company budgeted selling expenses of $30,900 in January, $34,600 in February, and $39,100 in March. Actual selling expenses were $32,100 in January, $34,000 in February, and $46,700 in March. Prepare a selling expense report that compares budgeted and actual amounts by month and for the year ...

1 answers

##### Interest rate (with changing years). Keiko is looking at the following investment choices and wants to...

Interest rate (with changing years). Keiko is looking at the following investment choices and wants to know what annual rate of return each choice produces a. Invest $360.00 and receive $891.73 in 9 years. b. Invest $3,200.00 and receive $12,392.06 in 16 years c. Invest $30,737.72 and receive $110,0...

1 answers

##### 1. Write down the symbol, units, and a simple description of the wavelength of a sinusoidal...

1. Write down the symbol, units, and a simple description of the wavelength of a sinusoidal wave. Sketch this definition in a figure 2. Write down the symbol, units, and a simple description of the frequency of a sinusoidal wave. Sketch this definition in a figure. 3. Write down the relation between...

1 answers

##### FROM 1 TO 16 Steve Russell started a snow removal and landscaping business he called Total...

FROM 1 TO 16 Steve Russell started a snow removal and landscaping business he called Total Care Services. Selected transactions for Total Care Services, for the year ended May 31, 2021, are listed below. 1. 2. 3. 4. 5. 6. 7. 8. 9. Steve transfers his used pickup truck valued at $3,870 into the busi...

1 answers

##### A bank's checkable deposits are $960, its loans are $857 and the bank has reserves of...

A bank's checkable deposits are $960, its loans are $857 and the bank has reserves of $103. If the bank faces a required reserve ratio of 9%, then what are the bank's current excess reserves?...

1 answers

##### In the circuit of the figure below, the battery emf e m f is 60 V,...

In the circuit of the figure below, the battery emf e m f is 60 V, the resistance R is 150 Ω, and the capacitance C is 0.500 µF. The switch S is closed for a long time interval, and zero potential difference is measured across the capacitor. After the switch is opened, the potential diff...

1 answers

##### A firm that sells e-books - books in digital form downloadable from the Internet - sells...

A firm that sells e-books - books in digital form downloadable from the Internet - sells all e-books relating to do-it-yourself topics (home plumbing, gardening, and so on) at the same price. At present, the company can earn a maximum annual pr...

1 answers

##### #10*g# of carbon disulfide is combusted with #15.5*L# of oxygen gas, which is the reagent in excess?

#10*g# of carbon disulfide is combusted with #15.5*L# of oxygen gas, which is the reagent in excess?...

1 answers

##### Question 5 (1 point) Three inputs to MRP are: Planned Orders, Gross Requirements, PAC BOM, Gross...

Question 5 (1 point) Three inputs to MRP are: Planned Orders, Gross Requirements, PAC BOM, Gross Requirements and Planning Factors Strategic Planning, Planned Orders, Open Orders Planning Factors, Planned Orders, PAC Question 6 (1 point)...

1 answers

##### Why was crossing the Delaware River and Battle of Trenton so important to the American cause during the Revolution?

Why was crossing the Delaware River and Battle of Trenton so important to the American cause during the Revolution?...

1 answers

##### It is _______ that you could definitively identify the causes of the slow recovery since _______....

It is _______ that you could definitively identify the causes of the slow recovery since _______. A. not likely: there will only be data available relating to the causes of the crisis not related to the recovery B. likely: we now have sophisticated models that let us sepa...

1 answers

##### 6. (20 points) Let r be a real number, for each positive integer n detine 5...

6. (20 points) Let r be a real number, for each positive integer n detine 5 ) te as follows 1 if n = 0 S(n-1) +r" if n > 0 Find a non-recursive expression for S(n) and prove that your formula is com mathematical induction....

1 answers

##### -15 POINTS LARCALCET7M 9.8.052. Find the intervals of convergence of f(x), f'(x), F"(x), and f(x) dx....

-15 POINTS LARCALCET7M 9.8.052. Find the intervals of convergence of f(x), f'(x), F"(x), and f(x) dx. (Enter your answer using in Aw) - § (-1)+7(x – 2y (a) f(x) (b) f(x) (c) F"(x) (d) f(x) dx Need Help? Read It...

1 answers

##### A company reports the following: Net income $1,225,000 Preferred dividends 47,800 Average stockholders' equity 8,750,000 Average...

A company reports the following: Net income $1,225,000 Preferred dividends 47,800 Average stockholders' equity 8,750,000 Average common stockholders' equity 5,400,000 Determine (a) the return on stockholders’ equity and (b) the return on common stockholders’ equity. (...

1 answers

##### Interconverting number of atoms and mass of compound Calculate the mass of diphosphorus pentoxide (P,05) that...

Interconverting number of atoms and mass of compound Calculate the mass of diphosphorus pentoxide (P,05) that contains a million (1.0 x 10°) phosphorus atoms. Be sure your answer has a unit symbol if necessary, and round it to 2 significant digits....

1 answers

##### Not sure if I did this correct... will rate answer show solutions please Naom, cold hounal...

not sure if I did this correct... will rate answer show solutions please Naom, cold hounal + En phy ORCOH MBA Doucos 112 2) H26MCPBA Natisor 2 HOWN'Zo? BMS - THE HBr RooR, HONG "(v) CH - LOH and - Chapter 9...