If cos x and sin x are solutions of the differential equation a_0\frac{d^2y}{dx^2} + a_1\frac{dy}{dx} + a_2y = 0 Where a_0, a_1, a_2 are real constants then which of the followings is/are always true?

A cos x + B sin x is a solution, where A and B are real constants

A cos(x+\pi/4) is a solution, where A is real constant

A cos x sin x is a solution, where A is real constant

A cos (x+\pi/4) + B sin(x-\pi/4) is a solution, where A and B are real constants

WBJEE 2015 Math Solved Paper

Question : 75 of 80

Marks: +1, -0

If cos x and sin x are solutions of the differential equation a0

d2y

dx2

+ a1

+ a2y = 0
Where a0, a1, a2 are real constants then which of the followings is/are always true?

Go to Question:

Prev Question

Next Question