[solved]-Use The Laplace Transform To Solve The Following Initial Value Problem Y10y25y0y04y01 First Using Y For The Laplace Transform Of Yt Ie Ylyt Afind The Equation You Get By Taking The Laplace T 53247

Use the Laplace transform to solve the following initial valueproblem:y′′+−10y′+25y=0y(0)=4,y′(0)=1First, using Y for the Laplace transform ofy(t), i.e.,Y=L{y(t)},a.find the equation you get by taking the Laplace transform of thedifferential equationb.Now solve for Y(s)= ?and write the above answer in its partial fraction decomposition,Y(s)=As+a+B(s+a)2Y(s)= ———+——–?c.Now by inverting the transform, find y(t)=?

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