If \(u = \sin^{-1} \left(\dfrac{x}{y}\right) + \tan^{-1} \left(\dfrac{y}{x}\right)\), then the value of \(x \dfrac{\partial u}{\partial x} + y \dfrac{\partial u}{\partial y}\) is

If \(u = \sin^{-1} \left(\dfrac{x}{y}\right) + \tan^{-1} \left(\dfrac

1.	If \(u = \sin^{-1} \left(\dfrac{x}{y}\right) + \tan^{-1} \left(\dfrac{y}{x}\right)\), then the value of \(x \dfrac{\partial u}{\partial x} + y \dfrac{\partial u}{\partial y}\) is
A.	U
B.	2u
C.	3u
D.	0
Answer» E.

For \(\frac{{{d^2}y}}{{d{x^2}}} + 4\frac{{dy}}{{dx}} + 3y = 3{e^{2x}}\), the particular integral is :
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