Eliminate-arbitrary-constant-a-and-b-from-z-x-a-2-y-b-2-to-form-the-partial-differential-equation-

Question Number 99923 by bemath last updated on 24/Jun/20

Eliminate arbitrary constant

a and b from z = {(x - a)}^{2} + {(y - b)}^{2}

to form the partial differential

equation .

Commented by bobhans last updated on 24/Jun/20

\frac{\partial z}{\partial x} = 2 (x - a); \frac{\partial z}{\partial y} = 2 (y - b)

{(\frac{\partial z}{\partial x})}^{2} + {(\frac{\partial z}{\partial y})}^{2} = 4 {{(x - a)}^{2} + {(y - b)}^{2}}

{(\frac{\partial z}{\partial x})}^{2} + {(\frac{\partial z}{\partial y})}^{2} = 4 z

Commented by bemath last updated on 24/Jun/20

t h a n k y o u

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