Question: Use the Laplace transform to solve the following problem for x(t).i)x12x40x=3sin5t,x(0)=x(0)=0b)x7x=4t,x(0)=5c)x6x34x=68,x(0)=5,x(0)=7

Use the Laplace transform to solve the following problem for x(t).i)x12x40x=3sin5t,x(0)=x(0)=0b)x7x=4t,x(0)=5c)x6x34x=68,x(0)=5,x(0)=7

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