Question

(iii) If ex and e2x are two solutions of a 2nd order
homogeneous linear differential equation find the
general solution of the differential equation.​

Answer 1

Let y1 and y2 be two solutions of the homogeneous linear differential equation y'' + p(x) y' + q(x) y = 0 then the linear combination of y1 and y2, i.e., y3 = c1 y1 + c2 y2 is also a solution of the differential equation, where c1 and c2 are arbitrary constants.

Answer 2

Answer:

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