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Beliebt Rechnen >

y^{''}-14y^'+49y=3t^{-1}e^{7t}

Lösung

y^{^{''}} - 14 y^{^{'}} + 49 y = 3 t^{- 1} e^{7 t}

Lösung

y = c_{1} e^{7 t} + c_{2} t e^{7 t} - 3 e^{7 t} t + 3 e^{7 t} t ln (t)

Schritte zur Lösung

y^{''} (t) - 14 y^{'} (t) + 49 y = 3 t^{- 1} e^{7 t}

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} t e^{7 t} - 3 e^{7 t} t + 3 e^{7 t} t ln (t)

y = c_{1} e^{7 t} + c_{2} t e^{7 t} - 3 e^{7 t} t + 3 e^{7 t} t ln (t)

Graph

Beliebte Beispiele

steigung (-3,4),(2,-9)

s l o p e (- 3, 4), (2, - 9)

integral of tan^{-3/2}(x)sec^4(x)

\int tan^{- \frac{3}{2}} (x) sec^{4} (x) d x

derivative g(x)=\sqrt[4]{x}e^x

d er i v a t i v e g (x) = 4 x e^{x}

(dy)/(dx)=(1+y^2)tan(x)

\frac{d y}{d x} = (1 + y^{2}) tan (x)

derivative of-6e^{-6x}

\frac{d}{d x} (- 6 e^{- 6 x})