engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Differential Equations Cauchy's Equation
The solution of the differential equation 2x2y'' + 3xy' – 15y = 0, y(1) = 1, y'(1) = 2 is
1
\(y = \frac{{10}}{{11}}{x^{5/2}} + \frac{1}{{11}}{x^{ - 3}}\)
2
\(y = \frac{{12}}{{11}}{x^{ - \frac{5}{2}}} - \frac{1}{{11}}{x^3}\)
3
\(y = \frac{{12}}{{11}}{x^{\frac{5}{2}}} - \frac{1}{{11}}{x^{ - 3}}\)
4
\(y = \frac{{10}}{{11}}{x^{ - 5/2}} + \frac{1}{{11}}{x^3}\)