if y1 and y2 are two solutions of a second order differentia

if y1 and y2 are two solutions of a second order differential equation, then C1y1+C2y2 are also solutio for any constants C1, C2.

Why is this FALSE?

Solution

the above statemant is always true.

if y₁ and y₂ are two solutions of a second order differential equation, then C₁y₁+C₂y₂ are also solutio for any constants C₁, C₂