Hi. I have been trying for sometime to solve the following system of DEs analytically(Is it possible?) but no luck so far.(adsbygoogle = window.adsbygoogle || []).push({});

$$x''(t)=-z(t)x'(t)-x(t)+y(t),$$ $$y'(t)=-z(t)y(t)+x^2(t)$$ $$z'(t)=-2z^2(t)-x(t)$$.

With the initial conditions ##x(0)=1## , ##x'(0)=0## ,##y(0)=0## and ##z(0)=1##.

Thanks a lot in advance.

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# A A system of DEs with variable coefficients.

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