1. ## Differential Equations homework

I need some help with these two problems from my homework.

For #2, I tried separating it but could't get far. I also tried using the method for exact equations, but started to get lost when integrating g(x).

*Edit* Figured out #3.

Thank you.

2. ## Re: Differential Equations homework

Say that $\displaystyle {\mathrm d \over \mathrm d t}G(t)=g(t)$ and solve the exact equation. I got $\displaystyle xy+G(x)-G(y)=1$ after using the initial condition. From that you need to find $\displaystyle x$ and $\displaystyle y$ so that the terms in $\displaystyle G$ disappear.

3. ## Re: Differential Equations homework

Thank you. That cleared things up.