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<title>Problems to Section 2.2</title>

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###[Problems](id:sect-2.2.P)

> 1. [Problem 1](#problem-2.2.P.1)
> 2. [Problem 2](#problem-2.2.P.2)

**[Problem 1.](id:problem-2.2.P.1)**

a. Find the general solution to each of the following equations
\begin{gather}
u\_t + 3u\_x -2u\_y=0;\\\\
u\_t + xu\_x+ yu\_y=0;\\\\
u\_t - xu\_x- yu\_y=0;\\\\
u\_t + yu\_x+ xu\_y=0;\\\\
u\_t - yu\_x-xu\_y=0.
\end{gather}
b. Solve IVP $u(x,y,0)=f(x,y)$.
<!--\end{problem}-->


**[Problem 2.](id:problem-2.2.P.2)**

a. Find the general solution to each of the following equations
\begin{gather}
u\_t + 3u\_x -2u\_y=x;\\\\
u\_t + xu\_x+ yu\_y=x;\\\\
u\_t - xu\_x- yu\_y=x;\\\\
u\_t + yu\_x+ xu\_y=x;\\\\
u\_t - yu\_x-xu\_y=x.
\end{gather}
b. Solve IVP $u(x,y,0)=0$.
<!--\end{problem}-->

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[$\Uparrow$](../contents.html)&nbsp;&nbsp;[$\uparrow$](./S2.2.html)&nbsp;&nbsp;[$\Rightarrow$](./S2.3.html)
