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I have to solve this equation using laplace transform

ty''+(t-1)y'+y=t^2 y(0)=0 y'(0)=0

I tried it using matlab and get to this point

(Int(-2/s^4*exp(1/2*s*(s+6)),s)+C1)*exp(-1/2*s*(s+6))

I think ive gone wrong somewhere

Any Help would be appreciated.

Thanks

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# Laplace Initial Value Problem

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