3. Solve the following differential equations [analytically by using Laplace transform] dx a) +16 + 3x...

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3. Solve the following differential equations [analytically by using Laplace transform] dx a) +16 + 3x = 5cos3t where x(0) = 0, dx(0) dt dt dx b) dx (0) + + 3x = 5e-²t + t where x (0) = 0, = 0 dt² dt dt CHECK YOUR ANSWER BY MATLAB 4. By using MATLAB find poles and zeros for the following transfer function. Then find inverse Laplace. 100(s+5)(s +70) G(s) s(s+45) (s +55) (s² +7s + 110) (s² + 6s +95) 3. Solve the following differential equations [analytically by using Laplace transform] dx a) +16 + 3x = 5cos3t where x(0) = 0, dx(0) dt dt dx b) dx (0) + + 3x = 5e-²t + t where x (0) = 0, = 0 dt² dt dt CHECK YOUR ANSWER BY MATLAB 4. By using MATLAB find poles and zeros for the following transfer function. Then find inverse Laplace. 100(s+5)(s +70) G(s) s(s+45) (s +55) (s² +7s + 110) (s² + 6s +95)

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2 a Given Differential Equation 12 0 2 dtr 16d 3x 5 os3t where 210... View the full answer