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:

Philoid · Accepted Answer

Verification:

Differentiating both sides we get,

Since y=e^x , we can replace e^x in the above differential equation

Hence y = e^x is the solution of the differential equation.

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