1. Find the Laplace Transform of tsint *Use Trigonometric Identity: cos2a = cosa - sina cos2a...

 

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1. Find the Laplace Transform of tsint *Use Trigonometric Identity: cos2a = cosa - sina cos2a = 2cosa-1 cos2a = 1-2sina 3s +15s (S2-2s+5)(s+3) 2. Find the Inverse Laplace of f(t) = { *Use Partial fraction 3. Find the ordinary differential equation (ODE) of x"(t) + 2x'(t) +x(t) = 3tet x(0)=5; x'(0)=3 1. Find the Laplace Transform of tsint *Use Trigonometric Identity: cos2a = cosa - sina cos2a = 2cosa-1 cos2a = 1-2sina 3s +15s (S2-2s+5)(s+3) 2. Find the Inverse Laplace of f(t) = { *Use Partial fraction 3. Find the ordinary differential equation (ODE) of x"(t) + 2x'(t) +x(t) = 3tet x(0)=5; x'(0)=3