(1 point) Consider the initial value problem y + 16y=641, (0)=9, (0) = 6. a. Take the Lapiace transform of both sides of

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1 Point Consider The Initial Value Problem Y 16y 641 0 9 0 6 A Take The Lapiace Transform Of Both Sides Of 1 (32.41 KiB) Viewed 20 times

(1 point) Consider the initial value problem y + 16y=641, (0)=9, (0) = 6. a. Take the Lapiace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(r) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). Y(s)s^2-98-6+16Y(s) (64)/s^2 help (formulas) b. Solve your equation for Y(s). Y(s) = (y(t)) = (64)/(s^2(s^2+16)+(95)/(s^2+16) c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(). y(t) 41-sin(41)+9cos(41) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 4 times. Your overall recorded score is 50%. You have unlimited attempts remaining.