Which of the following differential equations has y = c 1 e x + c 2 e –x as the general solution?

Question

Philoid · Accepted Answer

It is given that y = c₁e^x + c₂e^-x

Now, differentiating both sides w.r.t. x, we get,

Again, differentiating both sides w.r.t. x, we get,

Therefore, the required differential equation is .