Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Mathematical Methods of Physics
द्वितीय कोटि के अवकल समीकरण \( \frac{d^2y}{dx^2} + 4\frac{dy}{dx} + 2y = e^x \) का व्यापक हल है
1
\( y = \frac{C_1}{x} + \frac{C_2}{x^2} + x^2 e^x \)
2
\( y = \frac{C_1}{x} + \frac{C_2}{x^2} + \frac{e^x}{x^2} \)
3
\( y = \frac{C_1}{x} + \frac{C_2}{x^2} + \frac{e^x}{x^3} \)
4
\( y = \frac{C_1}{x} + \frac{C_2}{x^2} + \frac{e^{-x}}{x^2} \)