Keep calm and solve this....

Calculus Level 5

\[\large u = \csc^{-1}\large \sqrt{\dfrac{\sqrt{x}+ \sqrt{y}}{\sqrt[3]{x} + \sqrt[3]{y}}}\]

\[\large x^2\dfrac{\partial^{2}u}{\partial x^{2}} + 2xy\dfrac{\partial^{2}u }{\partial x\partial y} +y^{2}\dfrac{\partial^{2} u}{\partial y^{2}} =\dfrac{\tan u(b+ \tan^2 u)}{a^2}\]

Find \(a+b\), where \(a\) and \(b\) are coprime positive integers.

Try more problems here

×

Problem Loading...

Note Loading...

Set Loading...