Question

The solution of the differential equation \(\displaystyle \frac{d^3y}{dx^3}+3\frac{d^2y}{dx^2}+2\frac{dy}{dx}=0\) is

• A. \(y=a+be^{-x}+ce^{-2x}\)
• B. \(y=a+be^{x}+ce^{2x}\)
• C. \(y=ae^{-x}+be^{-2x}+ce^{x}\)
• D. \(y=a+be^{-2x}+ce^{-3x}\)

Hint:

For a linear differential equation with constant coefficients, form the auxiliary equation and solve for roots.

Answer 1

The Correct Option is A