engineering recuitment GATE CE 2023-24 Test Series Engineering Mathematics Differential Equations Cauchy's Equation
The complementary solution of the differential equation \({x^2}\frac{{{d^3}y}}{{d{x^3}}} - 4x\frac{{{d^2}y}}{{d{x^2}}} + 6\frac{{dy}}{{dx}} = 4\) is
1
C1 + C2 e-3x + C3 e-4x
2
C1 + C2 e-3x + C3 e4x
3
C1 + C2 x3 + C3 x4
4
C1 + C2 e3x + C3 e-4x