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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + \frac{e ^{2 x} x ^{3}}{6}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + \frac{e ^{2 x} x ^{3}}{6}

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + \frac{e ^{2 x} x ^{3}}{6}

Graph

Beliebte Beispiele

derivative of (1+x+x^2^{99})

\frac{d}{d x} ((1 + x + x^{2})^{99})

(\partial)/(\partial u)((u^2+v^2)^{3/2})

\frac{\partial}{\partial u} ((u^{2} + v^{2})^{\frac{3}{2}})

limit as x approaches 4-of 1/(x-4)

x \to 4 - lim (\frac{1}{x - 4})

integral of (x^2-1)^{-1}

\int (x^{2} - 1)^{- 1} d x

implicit x^2+2y^2=2

im pl i c i t x^{2} + 2 y^{2} = 2