Question

using laplace transform, solve:

y''+4y=8cos2t; y(0)=0, y'(0)=4

Answer #1

Solve the initial value problem using the method of
the laplace transform.
y"+4y'+4y=8t,y(0)=-4,y'(0)=4

solve the following DE using laplace transform
y"+4y'+4y=0; y(0)=-2, y'(0)=9

solve the laplace transform
y''+4y'=8, y(0)=0, y'(0)=0

use the Laplace transform to solve the initial value
problem.
y''+4y=4, y(0)=0, y'(0)=1
please provide details on how to apply partial
fractions

use the laplace transform to solve the initial value problem:
y"+4y=4t, y(0)=1, y'(0)=0

Use the Laplace transform to solve the following, given the
initial conditions: y^'' +5y^'+4y = 0 y(0)=1,y^' (0)=0.

Use the definition of the Laplace transform to solve the
IVP:
4y''− 4y' + 5y = δ(t), y(0) = −1, y'(0) = 0.

Use the Laplace transform to solve the following initial value
problem
y”+4y=cos(8t)
y(0)=0, y’(0)=0
First, use Y for the Laplace transform of y(t) find the
equation you get by taking the Laplace transform of the
differential equation and solving for Y:
Y(s)=?
Find the partial fraction decomposition of Y(t) and its
inverse Laplace transform to find the solution of the IVP:
y(t)=?

Use the Laplace transform to solve the following initial value
problem:
y′′−4y′−32y=δ(t−6)y(0)=0,y′(0)=0

Laplace transform: y"+4y=-2cost, y(0)=-3, y'(0)=1

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