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Hello. I am taking a self study diff e course, and I have run into a problem with no one to ask for help. Here is the problem:

[tex]y\prime=1+x+y^2+xy^2[/tex]

The question asks to find the general solution. I simply don't understand how to solve this problem. Here is the direction I am going in:

[tex]dy=(1+x+y^2+xy^2)dx \Rightarrow

\int dy = \int{dx} \ + \ \int{xdx} \ + \ y^2*\int{dx} \ + \ y^2*\int{xdx} \Rightarrow

y = x + \frac{x^2}{2} + xy^2 + \frac{y^2 x^2}{2} + C[/tex]

Where the heck do I go from here? I can't sepperate the equation, so how do I solve it?

[tex]y\prime=1+x+y^2+xy^2[/tex]

The question asks to find the general solution. I simply don't understand how to solve this problem. Here is the direction I am going in:

[tex]dy=(1+x+y^2+xy^2)dx \Rightarrow

\int dy = \int{dx} \ + \ \int{xdx} \ + \ y^2*\int{dx} \ + \ y^2*\int{xdx} \Rightarrow

y = x + \frac{x^2}{2} + xy^2 + \frac{y^2 x^2}{2} + C[/tex]

Where the heck do I go from here? I can't sepperate the equation, so how do I solve it?

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