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RiveraCI RiveraCI
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12 years ago
I really don't know where to begin on this question. Anyhelp would be grealty appreciated. Thankyou

-Solve the initial value problem (the solution must be written in the form y = f(x)
            dy/dx = 1 + x + y + xy             and y(0) = 1
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wrote...
12 years ago
The right hand side can be factorised into (1 + x)(1 + y).

dy/dx = (1 + x)(1 + y)

This is a variables separable differential equation leading to
INT 1/(1 + y) dy = INT (1 + x) dx

Can you take it from there? Don't forget to include a constant of integration one side. Use the intitial condition to find out its value.
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