engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations Euler's Equation
If \(u = \left( {x - y} \right) + \left( {\frac{{{y^2}}}{x}} \right)\) then the value of \({x^2}\frac{{{\partial ^2}u}}{{\partial {x^2}}} + 2xy\frac{{{\partial ^2}u}}{{\partial x\partial y}} + {y^2}\frac{{{\partial ^2}u}}{{\partial {y^2}}}\) is
1
0
2
-1
3
u
4
2u