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=sin x

Philoid · Accepted Answer

Verification:

y=sin x

Differentiating both sides we get,

Therefore, sin x is the solution to the differential equation.

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