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Solve the following IVP using Laplace transform: v"-v=2,V(O) =0,V'(0) =0 V)=7+21+41 Vlt) = - 2+ 2' + e ~vlt) = - e-2t+ e' + ev(t) = - 2 + e2t + ...

Question

Solve the following IVP using Laplace transform: v"-v=2,V(O) =0,V'(0) =0 V)=7+21+41 Vlt) = - 2+ 2' + e ~vlt) = - e-2t+ e' + ev(t) = - 2 + e2t + e"V(t) = 1+0' te'none of the above

Solve the following IVP using Laplace transform: v"-v=2,V(O) =0,V'(0) =0 V)=7+21+41 Vlt) = - 2+ 2' + e ~ vlt) = - e-2t+ e' + e v(t) = - 2 + e2t + e" V(t) = 1+0' te' none of the above



Answers

Solve the given differential equations by Laplace transforms. The function is subject to the given conditions. $$y^{\prime}+2 y=t e^{-2 t}, y(0)=0$$

The problem we have right our last plus two winners plus why? That is zero so Y. Of zero is equal to zero. Why does zero is equal to -2? Therefore these squired hapless y minus is y zero minus minus zero plus two in the S. Lab plus Y find us. Why is zero plus lap plus. Why that is equal to zero? So it is is square hapless. Why plus two plus to us? Yeah plus Y plus lap plus one That equals zero. So lab plus white into esquire Plus two Years Plus one. That becomes -2. The laplace of why? It is equal to minus to a farm. Yes plus one. Holy square. So this is written us Y. Of T. That equals a pleasant words of -2. Upon s plus one. What is file? This is equal to -2 Day. Use Power -T. This is dancing.


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