Math, asked by anamikashampa135, 2 days ago

Find a partial differential equation by eliminating a and b from the equation z = ax + a^2y^2 +b.​

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Answered by salamtariqdn2015
0

Answer:

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Answer to Question #207429 in Differential Equations for Chinmay

Answers>Math>Differential Equations

Question #207429

Find the partial differential equation by eliminating a and b from the equation z=ax+by+a²+b²

Expert's answer

z=ax+by+a^2+b^2z=ax+by+a

2

+b

2

Differentiating partially with respect to x, yx,y we get

\dfrac{\partial z}{\partial x}=p=a

∂x

∂z

=p=a

\dfrac{\partial z}{\partial y}=q=b

∂y

∂z

=q=b

Then the partial differential equation is

px+qy+p^2+q^2=zpx+qy+p

2

+q

2

=z

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Math

Differential Equations

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