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Beliebt Rechnen >

xy^'+2y=-4e^x

Lösung

x y^{^{'}} + 2 y = - 4 e^{x}

Lösung

y = - \frac{4 ( e ^{x} x - e ^{x} )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

Schritte zur Lösung

x y^{'} (x) + 2 y = - 4 e^{x}

Solve linear ODE:

y = - \frac{4 ( e ^{x} x - e ^{x} )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

y = - \frac{4 ( e ^{x} x - e ^{x} )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

Graph

Beliebte Beispiele

derivative of-8sqrt(x)

\frac{d}{d x} (- 8 x)

limit as x approaches 0+of 0

x \to 0 + lim (0)

derivative xsqrt(7-x^2)

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integral of (18x+2)

\int (18 x + 2) d x

integral from 0 to 2 of 2/(y^2+y-20)

\int_{0}^{2} \frac{2}{y ^{2} + y - 20} d y