A complete solution of partial differential equation \frac{\partialz}{\partialx}−3x^{2} = (\frac{\partialz}{\partialy}) ^{2}−y will be ________, where a and b are arbitrary constants.

Correct Answer is : z=ax+x3+(23)(a+y)32+b.

z = ax + x^{3} + (\frac{2}{3}) (a + y)^{\frac{3}{2}} + b.

z 1 / 2 = (x + a) 1 / 2 + (y + b) 1 / 2

AAI ATC Junior Executive 2018 Shift 2 Paper

Question : 79 of 120

Marks: +1, -0

A complete solution of partial differential equation

\;{∂z}/{∂x}−3x^{2} = (\;{∂z}/{∂y}) ^{2}−y

will be ________, where a and b are arbitrary constants.

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