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Partial Differential Equation

Quick practice

Question 1 of 5

The differential equation of surface $z=e^{a x+b y} f(a x-b y)$ is

A

$b\left(\frac{\partial z}{\partial x}\right)+a\left(\frac{\partial z}{\partial y}\right)=2 a b z$

B

$\left(\frac{\partial z}{\partial x}\right)+\left(\frac{\partial z}{\partial y}\right)=2 a b z$

C

$a\left(\frac{\partial z}{\partial x}\right)+b\left(\frac{\partial z}{\partial y}\right)=2 a b z$

D

$b\left(\frac{\partial z}{\partial x}\right)+a\left(\frac{\partial z}{\partial y}\right)=2 z$

Concepts

Origin of PDE

2nd Order Variable Coeff. PDE