MAT244--2018F > Term Test 2

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Victor Ivrii:
Consider equation
\begin{equation}
y'''-y''  +4y'-4y= 8\cos(2t).
\label{2-1}
\end{equation}

(a) Write a differential equation for Wronskian of $y_1,y_2,y_3$, which are solutions for homogeneous equation and solve it.

(b) Find fundamental system $\{y_1,y_2,y_3\}$ of solutions for homogeneous equation, and find their Wronskian. Compare with (a).

(c) Find the general solution of (\ref{2-1}).

Boyu Zheng:
Here is my answer

Qing Zong:
There are three parts in this question.

Qing Zong:
second part

Qing Zong:
3rd part

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