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Beliebt Rechnen >

y^{''}-y-x=0

Lösung

y^{^{''}} - y - x = 0

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} - x

Schritte zur Lösung

y^{''} (x) - y - x = 0

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - x

y = c_{1} e^{x} + c_{2} e^{- x} - x

Graph

Beliebte Beispiele

(D^2+2)y=e^{x+2}

(D^{2} + 2) y = e^{x + 2}

(D^2-4D+4)y=e^x+x^2+cos(2x)

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

y^{''}+8y^'+17y=2e^{-4t}cos(t)

y^{^{''}} + 8 y^{^{'}} + 17 y = 2 e^{- 4 t} cos (t)

y^{''}-8y^'+20y=100x^2+26xe^x

y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2} + 26 x e^{x}

(d^2y)/(dx^2)+(dy)/(dx)4+8y=8x^2

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} 4 + 8 y = 8 x^{2}