Question

form the partial differential equation z=ax^3+by^3
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Answer 1

Answer:

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Answer 2

Given differential equation is  z=ax^3+by^3.

We have to form partial differential equation from the given equation.

$\text { Differentiating partially with respect to } x, y \text { we get }$

$\begin{array}{l}\frac{\partial z}{\partial x}=p=2a \\\frac{\partial z}{\partial y}=q=2b\end{array}$

$\text { Then the partial differential equation is }$

$2ax^{2} +2by^{2}$

Hence the partial equation is

$2ax^{2} +2by^{2}$