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Find the solution of the initial value problem y'' - 2y' -3y = 21te^2t , y(0)=4 y'(0)=0. Please show all steps.

Find the solution of the initial value problem y'' - 2y' -3y = 21te^2t , y(0)=4 y'(0)=0. Please show all steps.
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Find the solution of the initial value problem y'' - 2y' -3y = 21te^2t , y(0)=4 y'(0)=0. Please show all steps.

asked
User Tom Jonckheere
by
7.9k points

1 Answer

5 votes

Answer:


y=-(3)/(4)e^(3t)+(1)/(12)e^(-t)-7te^(2t)+(14)/(3)e^(2t)

Explanation:

Refer to the attached images. Please follow along carefully.

Find the solution of the initial value problem y'' - 2y' -3y = 21te^2t , y(0)=4 y-example-1
Find the solution of the initial value problem y'' - 2y' -3y = 21te^2t , y(0)=4 y-example-2
Find the solution of the initial value problem y'' - 2y' -3y = 21te^2t , y(0)=4 y-example-3
answered
User Ram Rachum
by
8.1k points
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