Finding a function through its derivatives integration over a finite distance

I dont know if this Counts as a differential equation, but here it is. . The condition is that in the interval [0,d] and that and . I can see that a solution is but I dont know how to find this without guessing. Is there a simple method to employ?

Re: Finding a function through its derivatives integration over a finite distance

Quote:

Originally Posted by

**fysikbengt** I can see that a solution is

.

I'm sorry to hear that because it is completely wrong. You seem to be assuming that E is the **constant**, , which is certainly not true. I'm not sure why you write **partial** derivatives when you only have the one variable, x. One part of the "Fundamental Theorem of Calculus" say that . Since we are told that and E(0)= 0, that is .

Re: Finding a function through its derivatives integration over a finite distance

Quote:

Originally Posted by

**HallsofIvy** I'm sorry to hear that because it is completely wrong. You seem to be assuming that E is the

**constant**,

, which is certainly not true. I'm not sure why you write

**partial** derivatives when you only have the one variable, x. One part of the "Fundamental Theorem of Calculus" say that

. Since we are told that

and E(0)= 0, that is

.

Yes, I used an equality by definition so it had to go in circles. But you were good help anyway since I now had to make a more general approach to my original problem doing a variable substitution from x to E to solve it. It was a much shorter and neater proof.