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Beliebt Rechnen >

y^{''}-y^'-2y=3x+3

Lösung

y^{^{''}} - y^{^{'}} - 2 y = 3 x + 3

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-3(dy)/(dx)+4y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 4 y = x e^{x}

y^{'''}+3y^{''}-4y=9xe^{-2x}+4x

y^{^{'''}} + 3 y^{^{''}} - 4 y = 9 x e^{- 2 x} + 4 x

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

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

y^{^{''}} + y^{^{'}} - 2 y = x e^{x} + \frac{1}{e ^{2 x}}