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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- t} + e^{t} (c_{2} cos (2 t) + c_{3} sin (2 t))

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- t} + e^{t} (c_{2} cos (2 t) + c_{3} sin (2 t))

y = c_{1} e^{- t} + e^{t} (c_{2} cos (2 t) + c_{3} sin (2 t))

Graph

Beliebte Beispiele

(dy)/(dt)=3y+y^4,y(0)=1

\frac{d y}{d t} = 3 y + y^{4}, y (0) = 1

derivative of-20x^3+36x^2-12x-4

\frac{d}{d x} (- 20 x^{3} + 36 x^{2} - 12 x - 4)

(d^2)/(dx^2)(9z^2e^z)

\frac{d ^{2}}{d x ^{2}} (9 z^{2} e^{z})

integral from 0 to 8 of 1/(64+x^2)

\int_{0}^{8} \frac{1}{64 + x ^{2}} d x

derivative of 3x^2-3x+4

\frac{d}{d x} (3 x^{2} - 3 x + 4)