engineering recuitment AAI JE Technical Mock Test 2020-21 Engineering Mathematics Differential Equations Euler's Equation
If \({\rm{u}} = {\sin ^{ - 1}}(\frac{{{\rm{x + y}}}}{{\sqrt {\rm{x}} {\rm{ + }}\sqrt {\rm{y}} }})\) then by Euler's theorem, \({\rm{x}}\frac{{\partial {\rm{u}}}}{{\partial {\rm{x}}}} + {\rm{y}}\frac{{\partial {\rm{u}}}}{{\partial {\rm{y}}}}\) equals to
1
\(\frac{1}{2}\sin {\rm{u}}\)
2
\(\frac{1}{2}\tan {\rm{u}}\)
3
x + y
4
sin x + sin y