Consider the initial value problem: y\'\' + 3y = 18t, y(0) = 9 a.) take the Lapl

ID: 2852570 • Letter: C

Question

Consider the initial value problem:

y'' + 3y = 18t, y(0) = 9

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

_________________________=______18/(s^2)__________

b. solve your equation for Y(s)

Y(s) = L{y(t)} = _________________

c. take the inverse Laplace transform of both sides of the previous equation to solve for y(t)

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Consider the initial value problem: y'' + 3y = 18t, y(0) = 9 a.) take the Lapl

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Consider the initial value problem: y\'\' + 3y = 18t, y(0) = 9 a.) take the Lapl

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