engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations Cauchy's Equation
Solve: \(\frac{{{x^2}{d^2}y}}{{d{x^2}}} - 2x\frac{{dy}}{{dx}} - 4y = {x^4}\)
1
\({c_1}{x^4} + \frac{{{c_2}}}{x} + \frac{{{x^4}}}{5}\)
2
\({c_1}{e^{4x}} + {c_2}{e^{ - x}} + \frac{{{x^4}\log x}}{5}\)
3
\({c_1}{e^{4x}} + {c_2}{e^{ - x}} - \frac{{{x^4}\log x}}{5}\)
4
\({c_1}{x^4} + \frac{{{c_2}}}{x} + \frac{{{x^4}\log x}}{5}\)