P-2

[Victor Ivrii]

(a)  Find Wronskian  $W(y_1,y_2)(x)$ of a fundamental set of solutions $y_1(x) , y_2(x)$ for ODE 
\begin{equation*}
\bigl(x\sin(x)+\cos(x)\bigr)y''-x\cos(x)y'+\cos(x)y=0
\end{equation*}
(b) Check that $y_1(x)=x$ is a solution and find another linearly independent solution.
 
(c) Write the general solution,  and find solution such that ${y(0)=1, y'(0)=1}$.

[Wanying Zhang]

Solution to Problem 2:

[Meng Wu]

Solution to Problem 2:

Prof. Victor would prefer you typing out the solutions xD ( that is if you want the bonus mark)

[Wanying Zhang]

The last picture is hard to read, so I upload again. Sorry for that!

[Wanying Zhang]

I have trouble typing on the forum so I type it and convert to PDF form. Hope it better.

[Victor Ivrii]

You typed using LaTeX (which is fine, but you need to put escape character \ in front of mathoperators like \cos ....)

Then you can just copy and paste into forum your source and make minimal editing (use "preview" to see what needs to be corrected). When I post Quizzes and Tests problems to forum, I also do not type from the scratch.