Teaching DSSSB TGT Mock Test 2025 Mathematical Science Partial Differential Equations Classification of Second Order PDE
The PDE \(\rm \frac{\partial^{2} u}{\partial x^{2}}+2 \frac{\partial^{2} u}{\partial x \partial y}+\frac{\partial^{2} u}{\partial y^{2}}\) = x, has
1
only one particular integral.
2
a particular integral which is linear in x and y.
3
a particular integral which is a quadratic polynomial in x and y.
4
more than one particular integral.