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I have the following system:

$$f(t) = t \cdot f(t) + g(t)$$ $$g'(t) = g(t) + t \cdot g'(t) + f(t)$$

which I want to solve for $f(t)$ and $g(t)$. I also have initial conditions that $f(0)=g(0)=1$. How do I go about this in the best way?

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    Do you want the first equation to have $f'(t)$ on the left hand side?2012-10-28
  • 0
    No it is actually a system with an ordinary equation, and a differential equation.2012-10-28

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