Help to solve differentail equation

So this is NOT "solving" a differential equation, it is creating a differential equation.

The derivative of a constant is 0 so start differentiating!

Differentiate with respect to x
2zzx=3ax2\displaystyle 2z\frac{\partial z}{\partial x}= 3ax^2

Differentiate again with respect to y
2z2zxy+2zxzy=0\displaystyle 2z\frac{\partial^2z}{\partial x\partial y}+ 2\frac{\partial z}{\partial x}\frac{\partial z}{\partial y}= 0
 
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