If u(x) and v(x) are two independent solutions of the differential equation \frac{d^2y}{dx^2} + b \frac{dy}{dx} + cy = 0, then additional solution(s)of the given differential equation is (are)

y = c_1 {u(x) – v(x)} + c_2 v(x), c_1 and c_2 are arbitrary constants

y = c_1 u(x) v(x) + c_2 u(x)/v(x), c_1 and c_2 are arbitrary constants

WBJEE 2014 Maths Solved Paper

Question : 78 of 80

Marks: +1, -0

If u(x) and v(x) are two independent solutions of the differential equation

d2y

dx2

+ b

+ cy = 0, then additional solution(s)of the given differential equation is (are)

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