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Beliebt Rechnen >

(d^2y)/(dx^2)-4(dy)/(dx)-5y=5x

Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 5 x

Lösung

y = c_{1} e^{5 x} + c_{2} e^{- x} - x + \frac{4}{5}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 5 x

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- x} - x + \frac{4}{5}

y = c_{1} e^{5 x} + c_{2} e^{- x} - x + \frac{4}{5}

Graph

Beliebte Beispiele

2y^{''}+50y=2cos^2(5x)

2 y^{^{''}} + 50 y = 2 cos^{2} (5 x)

y^{''}-y^'-3/4 y=cos(2t)

y^{^{''}} - y^{^{'}} - \frac{3}{4} y = cos (2 t)

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

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

y^{''}+y^'-2y=3e^{-2t}

y^{^{''}} + y^{^{'}} - 2 y = 3 e^{- 2 t}

(D^3-3D^2+3D-1)y=e^x+1

(D^{3} - 3 D^{2} + 3 D - 1) y = e^{x} + 1