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 +1

Philoid · Accepted Answer

Verification:

Y = e^x + 1

Differentiating both sides we get,

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

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