For each of the following initial value problems verify that the accompanying function is a solution:

Question

For each of the following initial value problems verify that the accompanying function is a solution: Function: y = e x + e -x

Philoid · Accepted Answer

y = e^x + e^-x

Differentiating both sides we get,

Therefore, e^x + e^-x is the solution of the differential equation.

Also at x=0, we get y=e⁰ + e⁰ which is equal to 1+1=2.