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Nov 9, 2021 at 17:38 vote accept user38747
Nov 9, 2021 at 17:38 comment added user38747 Thanks a lot Robert!
Nov 9, 2021 at 16:19 comment added Robert Bryant @user38747: Yes. Separation of variables is exactly what you should do, after you have solved $\dot x = -4x^2$. Alternatively, you can check that the equations imply that $y/x^2$ is constant, since its derivative is zero.
Nov 9, 2021 at 15:52 comment added user38747 Thanks for your reply. Could you please explain me how do you solve the second ODE $\dot{y} = -8xy$. I think because x depends on t is necessary to solve using separation of variables something like $dy/y = -8 x(t) dt$
Nov 9, 2021 at 14:39 history answered Robert Bryant CC BY-SA 4.0