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 +2

Philoid · Accepted Answer

Verification:

y = e^-x + 2

Differentiating both sides we get,

Therefore, e^-x + 1 is the solution of the differential equation.

Also at x = 0, we get y = e⁰ + 2 which is equal to 3.