# Thread: Integration and particular solutions

1. ## Integration and particular solutions

I think there is something that I am missing because my answer is turning out to be wrong.

Find the particular solution for the following differential given that it passes through (-1, -6).

f ' (x) = 24x^2 - 4x + 5

I can do it well without the negative number and my answer results in: y = 8x^3 - 2x^2 + 5x + 9

Thanks...

2. Originally Posted by Googl
I think there is something that I am missing because my answer is turning out to be wrong.

Find the particular solution for the following differential given that it passes through (-1, -6).

f ' (x) = 24x^2 - 4x + 5

I can do it well without the negative number and my answer results in: y = 8x^3 - 2x^2 + 5x + 9

Thanks...

It doesn't take too long to a maths student to realize that many times books/teachers are wrong, and perhaps this is

one of those occasions: your answer is right according to what you say is the given data.

Tonio

3. Originally Posted by tonio
It doesn't take too long to a maths student to realize that many times books/teachers are wrong, and perhaps this is

one of those occasions: your answer is right according to what you say is the given data.

Tonio
My answer can't be right surely. What did you get? It is wrong. There have been many situations where I have failed a question in a similar format. Having a negative (-4x for example)

4. No, both tonio and you are correct concerning the OP. Check:

y = 8x^3 - 2x^2 + 5x + 9

y' = 24 x^2 - 4x + 5 = f(x).

Moreover, y(-1) = 8 (-1) - 2 (1) + 5 (-1) + 9 = -8 - 2 - 5 + 9 = -10 + 4 = -6, as required.