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Beliebt Rechnen >

y^{''}+8y^'=8x

Lösung

y^{^{''}} + 8 y^{^{'}} = 8 x

Lösung

y = c_{1} + c_{2} e^{- 8 x} + \frac{x ^{2}}{2} - \frac{x}{8}

Schritte zur Lösung

y^{''} (x) + 8 y^{'} (x) = 8 x

Solve linear ODE:

y = c_{1} + c_{2} e^{- 8 x} + \frac{x ^{2}}{2} - \frac{x}{8}

y = c_{1} + c_{2} e^{- 8 x} + \frac{x ^{2}}{2} - \frac{x}{8}

Graph

Beliebte Beispiele

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

y^{''}+4y=2sec^3(2t)

y^{''}-2y^'-3y=12e^x-12

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

(d^2y)/(dt^2)-4y=tcos(2t)