engineering recuitment NMC JE Civil Mock Test 2024 Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
The general solution of differential equation,
\(\frac{{{d^4}y}}{{d{x^4}}} - 2\frac{{{d^3}y}}{{d{x^3}}} + 2\frac{{{d^2}y}}{{d{x^2}}} - 2\frac{{dy}}{{dx}} + y = 0\) is1
y = (C1 + C2 x) ex + C3 cos x – C4 sin x
2
y = (C1 – C2 x) ex + C3 cos x + C4 sin x
3
y = (C1 + C2 x) ex + C3 cos x + C4 sin x
4
y = (C1 + C2 x) ex – C3 cos x – C4 sin x