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 = log x

Philoid · Accepted Answer

Verification:

y = log x

Differentiating both sides we get,

Multiplying x on both the sides

Also, at x=1, y should be equal to 0. Let’s check it out.

At x=1, y=log (1)=0. (Hence the initial value condition is also satisfied)