Question

HW16: Problem 9 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem o ifost <3 y + 5y = 10 if 3 st<5 3(0) = 4. lo if 5 <t< oo, (a) Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y by Y. Do not move any terms from one side of the equation to the other (until you get to part (b) below). (b) Solve your equation for Y. Y = L{y} = (c) Take the inverse Laplace transform of both sides of the previous equation to solve for y Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining NOW

Answer 1

-Ult-() - so tsc I tzc y't sy so if ostc3 462=4 7 10 4 3ctcs if setza | y't sy slo(u(t-3) – U(+-5), y' + 5y = 10 0(t-3) - 1001t-5) 1 1/4' +54)=10 UCE-3) -10 0(t-s)) lly') +5h (y) = 10 hluct-3))-10K (Ult-s); (SY(S)-460)) +596) = 10.8235 -10 pass $ #5 99 4) +5Y6) = 109.35 -10255 @yıs (+5) = loqui's-100-$s tý + y(s) = 100-35 S (SUS -lo e-ss SiS+S) Scanned with s CamScanner

Flyle)) 2 *(*) -2295 - - 26 less + 2 & less . 4 - Qu(t-3) -2 0(t-3) e-stt-3) -20lt-5) tault-5) e-stt +48-5t = - ault-3) (--546-3) -Puct-52 (I-e-Stt-5) I40-5€ using so I = ((70037 = (poolt ((7187 so28 =((2-7)} (2-770)7 s-a Scanned with Camscanner