Differential Equations Question 29

Question: The order of the differential equation whose solution is $ y=a\cos x+b\sin x+c{e^{-x}} $ is

Options:

A) 3

B) 2

C) 1

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ y=a\cos x+b\sin x+c{e^{-x}} $ is a three parameter family of curves, so its differential equation is third order differential equation.