Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

I have been trying to solve the following system of first-order ordinary differential equations for a week:

x' = y * (a1*x + a2*y + c1),

y' = y * (a3*x + a4*y + c2),

where x and y are functions of t, and ai and ci are constants. This system seems not very complex, but I have not found the its exact solutions.

Can anyone tell me the exact solution for x(t)? Many thanks!

Best regards,

Kenneth

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# Solving system of ODE

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