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Beliebt Rechnen >

y^{''}+3y^'+2.25y=0

Lösung

y^{^{''}} + 3 y^{^{'}} + 2.25 y = 0

Lösung

y = c_{1} e^{- \frac{3 t}{2}} + c_{2} e^{- \frac{3 t}{2}} t

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 2.25 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{3 t}{2}} + c_{2} e^{- \frac{3 t}{2}} t

y = c_{1} e^{- \frac{3 t}{2}} + c_{2} e^{- \frac{3 t}{2}} t

Graph

Beliebte Beispiele

derivative of 5e^x+4/(\sqrt[3]{x})

\frac{d}{d x} (5 e^{x} + \frac{4}{3 x})

(dy)/(dt)=7y^2t^3,y(2)=3

\frac{d y}{d t} = 7 y^{2} t^{3}, y (2) = 3

integral from 1 to 3 of t/(sqrt(3+t^2))

\int_{1}^{3} \frac{t}{3 + t ^{2}} d t

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\int \frac{2 x + 3}{x + 2} d x

d/(dt)(at-tanh(at))

\frac{d}{d t} (a t - tanh (a t))