Consider the first order initial value problem dx + x = f(t) dt where x(0) = 5 and the function f is defined by 2 cos(3t
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Consider the first order initial value problem dx + x = f(t) dt where x(0) = 5 and the function f is defined by 2 cos(3t
Consider the first order initial value problem dx + x = f(t) dt where x(0) = 5 and the function f is defined by 2 cos(3t), 0≤t<T, f(t) = = 5e-t, t> π. Solve the initial value problem using i. Laplace transforms, ii. dsolve in MATLAB. Verify that your analytical solution and MATLAB solution in part (c) are equivalent.
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