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DescriptionODE solution qtl1.svg	Deutsch: Lösungen der inhomogenen gewöhnlichen Differentialgleichung $f'(x)+xf(x)\;=\;(x-1)e^{-x}\,$ durch Superposition: blau: Lösungen der homogenen Gleichung $h(x)=ke^{-x^{2}}\,$ für $k=-0.3,-0.2,-0.1,0,0.1,0.2,0.3\,$ grün: Partikulärlösung der inhomogenen Gleichung: ${\bar {f}}(x)=e^{-x}\,$ rot: Lösungen der inhomogenen Gleichung: $f(x)=h(x)+{\bar {f}}(x)=ke^{-x^{2}}+e^{-x}\,$ für $k=-0.3,-0.2,-0.1,0,0.1,0.2,0.3\,$ English: Solutions of the inhomogeneous ordinary differential equation $f'(x)+xf(x)\;=\;(x-1)e^{-x}\,$ by superposition: blue: solutions of the homogeneous equation $h(x)=ke^{-x^{2}}\,$ for $k=-0.3,-0.2,-0.1,0,0.1,0.2,0.3\,$ green: particular solution of the inhomogeneous equation: ${\bar {f}}(x)=e^{-x}\,$ red: solutions of the inhomogeneous equation: $f(x)=h(x)+{\bar {f}}(x)=ke^{-x^{2}}+e^{-x}\,$ for $k=-0.3,-0.2,-0.1,0,0.1,0.2,0.3\,$ This W3C-unspecified plot was created with Gnuplot. Category:Unspec SVG created with Gnuplot#00060114ODE%20solution%20qtl1.svg
Date	3 March 2011
Source	Own work
Author	Quartl

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