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(1 point) Consider the initial value problem y + 4y = 48t, X(0) = 6. a. Take the Laplace transform of both sides of the
Posted: Tue Jun 07, 2022 5:51 am
by answerhappygod
- 1 Point Consider The Initial Value Problem Y 4y 48t X 0 6 A Take The Laplace Transform Of Both Sides Of The 1 (26.05 KiB) Viewed 20 times
(1 point) Consider the initial value problem y + 4y = 48t, X(0) = 6. 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(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). 5Y(5)+4Y(5)-6 (48)/8/2 help (formulas) b. Solve your equation for Y(s). Y(s)=L(y(t)) = 6/(s+4)+(48)/(s^2(5+4)) c. Take the Inverse Laplace transform of both sides of the previous equation to solve for y(r). y(t)= 9e^(-40)+121-3