Answer to Question #195963 in Differential Equations for Saugat Adhikari

Question

For any X and suitable p and q, solve y=Xp^qz for z

*** Y=Xp^q to the power z

Answer 1

If $q=\frac{\partial z}{\partial y}=0$ , then $y=x$

If $y=x$ , then:

$p=\frac{\partial z}{\partial x}=1$

$z=x+\phi(y)+c$