Question: 5. Consider the ODE y + 3y' - 4y = e. (a) Find the null solution y,(t). Note the overlap between yn(t) and q(t),

5. Consider the ODE y" + 3y' - 4y = e. (a) Find the null solution y,(t). Note the overlap between yn(t) and q(t), which will lead to resonance. (b) Find a particular solution y,(t) using the Method of Undetermined Coefficients with the guess y,(t) = Mtet. 1 (c) Find a particular solution y,(t) using the formula y,(t) Verify that you get the same answer as in (b). = te/P'(s) with s 1.

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