MathProblemsBank

11.4.22 First order partial differential equations

Problem: Find the solution of the first-order partial differential equation under the given conditions: \[ 2 \sqrt{x} \cdot \frac{\partial z}{\partial x}-y \cdot \frac{\partial z}{\partial y}=0, \quad z=y^{2} \text { when } x=1 . \]