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Beliebt Rechnen >

y^{'''}+8y^{''}+25y^'=0

Lösung

y^{^{'''}} + 8 y^{^{''}} + 25 y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 8 y^{''} (t) + 25 y^{'} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}-2y^'-2y=0,y(0)=3,y^'(0)=1

4 y^{^{''}} - 2 y^{^{'}} - 2 y = 0, y (0) = 3, y^{^{'}} (0) = 1

x^{'''}-10x^{''}+37x^'-52x=0

x^{^{'''}} - 10 x^{^{''}} + 37 x^{^{'}} - 52 x = 0

x^{''}+6x^'+8x=0,x(0)=7

x^{^{''}} + 6 x^{^{'}} + 8 x = 0, x (0) = 7

y^{''}+8y^'+32y=0,y^'0=-4,y^0=1

y^{^{''}} + 8 y^{^{'}} + 32 y = 0, y^{^{'}} 0 = - 4, y^{0} = 1

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

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