Question: Solve the differential equation for the variable, x(t).Assume zero initial conditions.adxdt+8x=5sin3tb10dxdt+2x=1Find the Laplace transform of the following:af(t)=3e4t-4tsin2tbf(t)=6-3cos3t+3t3e-2tFind the Inverse Laplace of the following:aF(s)=5s3+6s2+9sbF(s)=4ss2+5

Solve the differential equation for the variable, x(t).Assume zero initial conditions.adxdt+8x=5sin3tb10dxdt+2x=1Find the Laplace transform of the following:af(t)=3e4t-4tsin2tbf(t)=6-3cos3t+3t3e-2tFind the Inverse Laplace of the following:aF(s)=5s3+6s2+9sbF(s)=4ss2+5

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