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Beliebt Rechnen >

6y^{'''}+78y^'-696y=0

Lösung

6 y^{^{'''}} + 78 y^{^{'}} - 696 y = 0

Lösung

y = c_{1} e^{4 t} + e^{- 2 t} (c_{2} cos (5 t) + c_{3} sin (5 t))

Schritte zur Lösung

6 y^{'''} (t) + 78 y^{'} (t) - 696 y = 0

Solve linear ODE:

y = c_{1} e^{4 t} + e^{- 2 t} (c_{2} cos (5 t) + c_{3} sin (5 t))

y = c_{1} e^{4 t} + e^{- 2 t} (c_{2} cos (5 t) + c_{3} sin (5 t))

Graph

Beliebte Beispiele

y^{''}-1/(a^2)y=0

y^{^{''}} - \frac{1}{a ^{2}} y = 0

y^{''}+y^'-6y=0,y(0)=-3

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = - 3

x^{''}+6x^'+3x=0,x^'(0)=1,x(0)=2

x^{^{''}} + 6 x^{^{'}} + 3 x = 0, x^{^{'}} (0) = 1, x (0) = 2

y^{'''}+3y+4y=0

y^{^{'''}} + 3 y + 4 y = 0

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

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