00:02
Okay, in this problem, we want to find an equivalent differential equation, a first -order differential equation, such that this solution corresponds to this y.
00:17
Okay? what we do is that because we want, y is the function, and x is the variable.
00:24
So if we want to get the derivative of y, because y is a, is a, is a, a, is a, a, is a, a, a, a, a, a, a, a, a, a, a, integral.
00:33
So to get a derivative of why, what we do is that we simply use the fundamental theorem of calculus, right? so recall that here is our fundamental theorem of calculus.
00:54
So this fundamental theorem of calculus tells us that if we take the derivative of some integral of this kind.
01:09
Then it turns out this derivative will be just the integrand evaluated at x.
01:17
So we get this will be just fx...