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Beliebt Rechnen >

x(dy)/(dx)=2xe^x-y+6x^2

Lösung

x \frac{d y}{d x} = 2 x e^{x} - y + 6 x^{2}

Lösung

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

Schritte zur Lösung

x \frac{d y}{d x} = 2 x e^{x} - y + 6 x^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of (24/(x^2+4x))

\frac{d}{d x} (\frac{24}{x ^{2} + 4 x})

laplacetransform sin(2t)sin(t)

l a pl a ce t r an s f or m sin (2 t) sin (t)

integral of nxe^{nθ}e^{-xn}

\int n x e^{n θ} e^{- x n} d x

(\partial}{\partial x}(\frac{432)/y+3y)

\frac{\partial}{\partial x} (\frac{432}{y} + 3 y)

derivative of sqrt(x^3-1)

\frac{d}{d x} (x^{3} - 1)