Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Partial Differential Equations Lagrange and Charpit Methods
The solution of the initial value problem (x – y)\( \rm \frac{\partial u}{\partial x}+(y-x-u) \frac{\partial u}{\partial y}=u\), u(x, 0) = 1, satisfies
1
u2 (x – y + u) + (y – x – u) = 0.
2
u2 (x + y + u) + (y – x – u) = 0
3
u2 (x – y + u) – (x + y + u) = 0.
4
u2 (y – x + u) + (x + y – u) = 0
5
Question Not Attempted