Find a positive, continuous function f(x) which satisfies the integral equation
Hint: start by differentiating each side.
I Have Absolutely NO Idea On How To Do This Problem, I Don't Even Understand The Hint.
Thanks To Anyone Who Helps <3
: )
Okay, but we aren't mind readers. You need to tell us where you are getting stuck. Can you at least get the derivative? You have a constant (derivative is zero) plus an integral with a variable limit which can be differentiated using the property that skeeter gave; that part should be straightforward.
Show us your attempts so far, and we can guide you in the right direction.
Good, but the two constants of integration are not necessarily equal; you should either use separate names (like and ), or combine them as one constant.
No. You want to find (i.e., solve for ).is that all i do?
Note that in this problem, you want to find a function that satisfies the conditions. There are many choices, depending on what you choose for Just pick something that works.