The general solution of the differential equation $\frac{{{d^2}y}}{{d{x^2}}} - \frac{{dy}}{{dx}} - 2y = 10\cos x$ is

Question

The general solution of the differential equation $\frac{{{d^2}y}}{{d{x^2}}} - \frac{{dy}}{{dx}} - 2y = 10\cos x$ is

TuteeHUB · Accepted Answer

y = c1ex + c2e2x – 3cos x

TuteeHUB · Answer

y = c1e-x + c2e2x – 3cos x – sin x

TuteeHUB · Answer

y = c1­ex + c2e-2x – 3cos x – sin x

TuteeHUB · Answer

y = c1e-x + c2e-2x – 3x + sin x

1.	The general solution of the differential equation \(\frac{{{d^2}y}}{{d{x^2}}} - \frac{{dy}}{{dx}} - 2y = 10\cos x\) is
A.	y = c1e-x + c2e2x – 3cos x – sin x
B.	y = c1ex + c2e2x – 3cos x
C.	y = c1ex + c2e-2x – 3cos x – sin x
D.	y = c1e-x + c2e-2x – 3x + sin x
Answer» B. y = c1ex + c2e2x – 3cos x

The general solution of the differential equation \(\frac{{{d^2}y}}{{d{x^2}}} - \frac{{dy}}{{dx}} - 2y = 10\cos x\) is