### Author Topic: P-2  (Read 5440 times)

#### Victor Ivrii

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##### P-2
« on: February 13, 2018, 09:24:12 PM »
(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

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##### Re: P-2
« Reply #1 on: February 14, 2018, 10:17:53 AM »
Solution to Problem 2:

#### Meng Wu

• Elder Member
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• MAT3342018F
##### Re: P-2
« Reply #2 on: February 14, 2018, 10:22:08 AM »
Solution to Problem 2:

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

#### Wanying Zhang

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• Posts: 21
• Karma: 6
##### Re: P-2
« Reply #3 on: February 14, 2018, 10:25:22 AM »
The last picture is hard to read, so I upload again. Sorry for that!

#### Wanying Zhang

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• Posts: 21
• Karma: 6
##### Re: P-2
« Reply #4 on: February 14, 2018, 11:56:09 AM »
I have trouble typing on the forum so I type it and convert to PDF form. Hope it better.