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Beliebt Rechnen >

y^{'''}+y^{''}+y^'-39y=0

Lösung

y^{^{'''}} + y^{^{''}} + y^{^{'}} - 39 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + y^{''} (t) + y^{'} (t) - 39 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y+68y=0,y(0)=7

y^{^{''}} + 4 y + 68 y = 0, y (0) = 7

3y^{''}+48y=0,y(0)=4,y^'(0)=8

3 y^{^{''}} + 48 y = 0, y (0) = 4, y^{^{'}} (0) = 8

y^{''''}+4y^{'''}+y^{''}-4y^'-2y=0

y^{^{''''}} + 4 y^{^{'''}} + y^{^{''}} - 4 y^{^{'}} - 2 y = 0

(d^2f)/(dx^2)+(df)/(dx)=0

\frac{d ^{2} f}{d x ^{2}} + \frac{df}{d x} = 0

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

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