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

Function: y=xe^x + e^x

Question

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

Philoid · Accepted Answer

Verification:

Y = x e^x + e^x

Differentiating both sides we get,

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

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