# Differential equations help

1. Mar 18, 2014

### lyj0211

Hi, this question came up in my midterm and I was hoping to know if this is the correct method or answer.

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2. Mar 18, 2014

### SteamKing

Staff Emeritus
What do your trusty differentiation skills tell you? Where did f(x) come from?

3. Mar 18, 2014

### lyj0211

this is my answer, I am just not sure if it is correct.

4. Mar 18, 2014

### JJacquelin

It's correct, I think.

5. Mar 18, 2014

### PeroK

Does that mean that you don't know how to differentiate the function you've found and check whether it satisfies the original equation?

6. Mar 18, 2014

### pasmith

You know you're immediately going to integrate with respect to $x$, so you can conserve symbols by writing "$u_x = \dfrac{(\frac 23 t^3 + t)}{1 + x} + f'(x)$ for an arbitrary differentiable $f(x)$".