MAT244-2018S > Term Test 1

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**:

--- Quote from: Wanying Zhang on February 14, 2018, 10:17:53 AM ---Solution to Problem 2:

--- End quote ---

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.

Navigation

[0] Message Index

[#] Next page

Go to full version