About Nonlinear System of Differential Equations

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I´ve never studied anything about systems of differential equations, but I´ve came across with two I´ve got to solve, which are nonlinear.

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AND

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I´ve been looking on internet and I´ve foudn this method for linear SD: https://www.youtube.com/watch?v=2vB3fx5BImU

But my question is, if there is a numerical method or something with which i can "solve" this systems.