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3. Solve the 2nd order linear time-invariant ordinary differential equation:
y(t) + 5y(t)-2y(t) = f(t) - 3f(t)
Given f(t) = e-t,y(0*) = 1 and y(0*) = 0, solve for y(t), t > 0
Fig: 1
y(t) + 5y(t)-2y(t) = f(t) - 3f(t)
Given f(t) = e-t,y(0*) = 1 and y(0*) = 0, solve for y(t), t > 0
Fig: 1
