Question
Mathematics Question on Solutions of Differential Equations
The general solution of the differential equation y"+y = 6sin x is:
A
y(x) = C1ex + C2e-x + 3x cosx
B
y(x) = C1ex + C2e-x - 3x cosx
C
y(x) = C1cosx + C2 sinx - 3sinx
D
y(x) = C1cosx + C2 sinx - 3x cosx
Answer
y(x) = C1cosx + C2 sinx - 3x cosx
Explanation
Solution
The correct option is(D):y(x) = C1cosx + C2 sinx - 3x cosx.