Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Differential Equations Partial Differential Equations
What is the general solution of the partial differential equation
\(\frac{\partial \Psi}{\partial x}+2\frac{\partial \Psi}{\partial y}+(2x-y)\Psi=0\)
1
\(Ψ(x, y) = f(2x - y)e^{-(2x^2+2y^2-3xy)/5}\)
2
\(Ψ(x, y) = f(2x - y)e^{-(-2x^2-2y^2+3xy)/5}\)
3
\(Ψ(x, y) = f(2x - y)e^{-(-2x^2+2y^2+3xy)/5}\)
4
\(Ψ(x, y) = f(2x - y)e^{-(2x^2-2y^2+3xy)/5}\)