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Beliebt Rechnen >

3y^{''}-5y^'+2y=6xe^{-2x}

Lösung

3 y^{^{''}} - 5 y^{^{'}} + 2 y = 6 x e^{- 2 x}

Lösung

y = c_{1} e^{x} + c_{2} e^{\frac{2 x}{3}} + \frac{e ^{- 2 x} x}{4} + \frac{17}{96} e^{- 2 x}

Schritte zur Lösung

3 y^{''} (x) - 5 y^{'} (x) + 2 y = 6 x e^{- 2 x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{\frac{2 x}{3}} + \frac{e ^{- 2 x} x}{4} + \frac{17}{96} e^{- 2 x}

y = c_{1} e^{x} + c_{2} e^{\frac{2 x}{3}} + \frac{e ^{- 2 x} x}{4} + \frac{17}{96} e^{- 2 x}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=sin(x)+7cos(2x)

y^{^{''}} + 2 y^{^{'}} + y = sin (x) + 7 cos (2 x)

y^{''}-y^'-6y=e^t

y^{^{''}} - y^{^{'}} - 6 y = e^{t}

(d^2y)/(dx^2)+8(dy)/(dx)+25y=16sin(x)

\frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} + 25 y = 16 sin (x)

y^{''''}-y=cos(x)

y^{^{''''}} - y = cos (x)

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

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