11.4.46 FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS

Condition: Solve the following Koshi problem: \ [x \ frac {\ partial z} {\ partial x}+z \ frac {\ partial z} {\ partial y} = z+2 x^{2}, z = x \ text {for} for} for} for} for y = \ frac {1} {4} -x^{2} \]