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Beliebt Rechnen >

(d^2y)/(dx^2)-9y=54

Lösung

\frac{d ^{2} y}{d x ^{2}} - 9 y = 54

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - 6

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 9 y = 54

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - 6

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - 6

Graph

Beliebte Beispiele

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

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

1/6 y^{''}+6y=3tan(6t)-1/3 e^{4t}

\frac{1}{6} y^{^{''}} + 6 y = 3 tan (6 t) - \frac{1}{3} e^{4 t}

y^{''}-4y^'+8y=xe^x

y^{^{''}} - 4 y^{^{'}} + 8 y = x e^{x}

y^{''}-2y^'+2y=x+1,y(0)=3,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} + 2 y = x + 1, y (0) = 3, y^{^{'}} (0) = 0

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

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