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Solve the following differential equation by the laplace transform method6y(4)+7y‴+21y28y′−12y=t(cos(2t)+te−3t2)y(0)=0,y′(0)=1,y"(0)=0,y‴(0)=−1
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Find Laplace transform of L[tetsin4t] is
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Consider the IVP yy′=0 where y(0)=2andy′(0)=3.Solve it using Laplace transforms
Find Y(t) using Laplace transform.y″+2y′+5y=e−TsinTy(0)=0,y′(0)=1
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