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(1 point) Use the Laplace transform to solve the following initial value problem: y" +16y=0, y(0) = 4, y'(0) = -8 (1) Fi
Posted: Thu May 12, 2022 11:57 am
by answerhappygod
- 1 Point Use The Laplace Transform To Solve The Following Initial Value Problem Y 16y 0 Y 0 4 Y 0 8 1 Fi 1 (18.71 KiB) Viewed 28 times
(1 point) Use the Laplace transform to solve the following initial value problem: y" +16y=0, y(0) = 4, y'(0) = -8 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation you get by taking the Laplace transform of the differential equation to obtain y"+16y = 0 (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) = 4cos(4t)-2 sin(4t)