Form the partial differential equations by eliminating constant a and

1.	Form the partial differential equations by eliminating constant a and b from z = (x + a)(y + b).
Answer» z = (x + a) (y + b) \(\therefore\) \(\frac{dz}{dx} = y+b\,\& \frac{dz}{dy} = x+a\) \(\therefore\) z = \(\frac{dz}{dx}.\frac{dz}{dy}\) is required partial equation.

Form the partial differential equations by eliminating constant a and b from z = (x + a)(y + b).

Answer»

z = (x + a) (y + b)

\(\therefore\) \(\frac{dz}{dx} = y+b\,\& \frac{dz}{dy} = x+a\)

\(\therefore\) z = \(\frac{dz}{dx}.\frac{dz}{dy}\) is required partial equation.

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Form the partial differential equations by eliminating constant a and b from z = (x + a)(y + b).

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