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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 z

B

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

C

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

D

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

Concepts

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