Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Partial Differential Equations Lagrange and Charpit Methods
समीकरण का सामान्य समाधान
\(x \frac{\partial z}{\partial x}+y \frac{\partial z}{\partial y}=0\) है
1
\(z=\varphi\left(\frac{|x|}{|y|}\right)\) , φ ∈ C 1 (ℝ)
2
\(z=\varphi\left(\frac{x-1}{y}\right)\) , φ ∈ C 1 (ℝ)
3
\(z=\varphi\left(\frac{x+1}{y}\right)\) , φ ∈ C 1 (ℝ)
4
z = φ(|x| + |y|), φ ∈ C 1 (ℝ)