Solve the following differential equations: 1.) y"(t)- 6 y'(t)+9 y(t)=6t^2e^(3t) ; y(0)=y'(0)=0 2.)x"(t)+4x(t)=t +4 ; x(0)=1...

Solve the following differential equations:

1.) y"(t)- 6 y'(t)+9 y(t)=6t^2e^(3t) ; y(0)=y'(0)=0

2.)x"(t)+4x(t)=t +4 ; x(0)=1 , x'(0)=0

Expert Solution

Now, we will see rules for writing solution of homogeneous equation.

Now, we will solve given problem.

Colby Messinger answered 9 months ago

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Question

Solve the following differential equations: 1.) y"(t)- 6 y'(t)+9 y(t)=6t^2e^(3t) ; y(0)=y'(0)=0 2.)x"(t)+4x(t)=t +4 ; x(0)=1...

Solutions

Expert Solution

Related Solutions

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