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

Function: y = e^x+e^2x

Question

For each of the following initial value problems verify that the accompanying function is a solution: Function: y = e x +e 2x

Philoid · Accepted Answer

Verification:

y = e^x + e^2x

Differentiating both sides we get,

Therefore, e^x + e^2x is the solution of the differential equation.

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

Also at x=0, we get y¹=e⁰+2e⁰=3.

For each of the following initial value problems verify that the accompanying function is a solution:Function: y = ex+e2x