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1)using the laplace transform, solve the initial value problem y1'+y2=0 y1+y2'=2cost y1(0)=1,y2(0)=0   2)using the convolution, find...

1)using the laplace transform, solve the initial value problem

y1'+y2=0

y1+y2'=2cost

y1(0)=1,y2(0)=0

  2)using the convolution, find the inverse transform of (a) F(s)=1/s(s-1) and (b) G(s)=5/(s^2+1)(s^2+25)

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