Use the laplace transform to solve the differential


Use the Laplace transform to solve the following differential equations:

1. y'+6y=2*t+3, y(0)=1

2. y'-2*y=exp(-t)*cos(t) , y(0)=-2

3. y''-y=2*t , y(0)=0, y'(0)=-1

Show every single steps,  must use Laplace transform to solve the problems

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Mathematics: Use the laplace transform to solve the differential
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