Hello!

I've got the following problem:

Find the solution to the following IVP:

$\displaystyle v_y(x,y)+cv_x(x,y)=u(x,y)$ satisfying $\displaystyle v(x,0)=v_0(x)$

where $\displaystyle v_0\in C^1(\mathbb{R})$,$\displaystyle u\in C^1(\mathbb{R}^2)$ and the constant $\displaystyle c\in \mathbb{R}$.

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I tried to diff. once in $\displaystyle x$ and once in $\displaystyle y$ but couldn't see how that would help.