Question: Use Laplace transforms to solve the following initial value problem.x''x=sin6t,x(0)=0,x'(0)=0Find the transformed equation. Choose the correct answer below.A.x{x''(t)}x{x'(t)}=6s236B.L{x''(t)}L{x'(t)}=ss236c.x(x''(t))x(x(t))=ss236D.L(x''(t))x(x(t))=6s236Find the solution.x(1)=(Type an exact answer.)

Use Laplace transforms to solve the following initial value problem.x''x=sin6t,x(0)=0,x'(0)=0Find the transformed equation. Choose the correct answer below.A.x{x''(t)}x{x'(t)}=6s236B.L{x''(t)}L{x'(t)}=ss236c.x(x''(t))x(x(t))=ss236D.L(x''(t))x(x(t))=6s236Find the solution.x(1)=(Type an exact answer.)

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