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List of Equations

The database contains 327 equations (8 equations are awaiting activation).

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1. Ordinary Differential Equations

1.6. Systems of Two Nonlinear Equations

Found 2 equations
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1 \noindent
$\displaystyle x''_{tt}=xf(x^2+y^2,y/x)-yg(y/x)$,\hfill\break
$\displaystyle y''_{tt}=yf(x^2+y^2,y/x)+xg(y/x)$. Andrei Polyanin
Submitted: 07 Dec 06 11:28
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2 $\displaystyle x'_t={\lambda_1}x+{\lambda}x^2+{\gamma}xy+{\delta}x^2y+\frac{\lambda_1\gamma\delta}{{\lambda_2}{\lambda}}xy^2$,\hfill\break
$\displaystyle y'_t={\lambda_2}y+{\lambda}xy+{\gamma}y^2-\frac{\lambda_2\lambda\delta}{\lambda_1\gamma}}x^2y-{\delta}xy^2$,\hfill\break
where $\lambda_1\ne\lambda_2$,$\lambda$,$\gamma$,$\delta$ real-valued parameters with obvious limitations on their values. Elbert Naziev
Submitted: 03 Dec 11 23:46
Edited (admin): 01 Sep 13 13:39
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Found 2 equations

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