Solve Problem either by Laplace transforms and the convolution integral or by Green functions. $$y^{\prime \prime}+y=\sec ^{2} t$$
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Step 1
The characteristic equation is $r^2+1=0$, which has roots $r=\pm i$. Therefore, the homogeneous solution is $y_h(t)=c_1\cos t+c_2\sin t$. Show more…
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Solve Problem either by Laplace transforms and the convolution integral or by Green functions. $$y^{\prime \prime}+y=t \sin t$$
Either by Laplace transforms and the convolution integral or by Green functions. $$ y^{\prime \prime}+y=\sec ^{2} t $$
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