Consider the equation t^2 -y"-t(t+2)y'+(t+2)y=2t^3, (t>0). Given that y1(t)=t3, y2(t)=te^t are the two fundamental solutions of...

Consider the equation t^2 -y"-t(t+2)y'+(t+2)y=2t^3, (t>0). Given that y1(t)=t3, y2(t)=te^t are the two fundamental solutions of the corresponding homogeneous equation, find the general solution of the nonhomogeneous equation.

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Colby Messinger answered 2 years ago

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Question

Consider the equation t^2 -y"-t(t+2)y'+(t+2)y=2t^3, (t>0). Given that y1(t)=t3, y2(t)=te^t are the two fundamental solutions of...

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Expert Solution

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