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Beliebt Rechnen >

1/x*(dy)/(dx)+2y-e^{-x^2}=0,y(1)= 2/e

Lösung

\frac{1}{x} \cdot \frac{d y}{d x} + 2 y - e^{- x^{2}} = 0, y (1) = \frac{2}{e}

Lösung

y = \frac{x ^{2}}{2 e ^{x^{2}}} + \frac{3}{2 e ^{x^{2}}}

Schritte zur Lösung

\frac{1}{x} \cdot \frac{d y}{d x} + 2 y - e^{- x^{2}} = 0

Solve linear ODE:

y = \frac{x ^{2}}{2 e ^{x^{2}}} + \frac{3}{2 e ^{x^{2}}}

y = \frac{x ^{2}}{2 e ^{x^{2}}} + \frac{3}{2 e ^{x^{2}}}

Graph

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