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Beliebt Rechnen >

xy^'=xe^{-2x}-(2x+1)y

Lösung

x y^{^{'}} = x e^{- 2 x} - (2 x + 1) y

Lösung

y = \frac{x}{2 e ^{2 x}} + \frac{c _{1}}{e ^{2 x} x}

Schritte zur Lösung

x y^{'} (x) = x e^{- 2 x} - (2 x + 1) y

Solve linear ODE:

y = \frac{x}{2 e ^{2 x}} + \frac{c _{1}}{e ^{2 x} x}

y = \frac{x}{2 e ^{2 x}} + \frac{c _{1}}{e ^{2 x} x}

Graph

Beliebte Beispiele

limit as x approaches 8-of 4x

x \to 8 - lim (4 x)

derivative of c_{2}-3c_{1}-3c_{2}x

\frac{d}{d x} (c_{2} - 3 c_{1} - 3 c_{2} x)

integral of 8/(1+x^2)

\int \frac{8}{1 + x ^{2}} d x

(\partial)/(\partial x)(5x^4+y^7)

\frac{\partial}{\partial x} (5 x^{4} + y^{7})

y(dy)/(dx)+25x=0

y \frac{d y}{d x} + 25 x = 0