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Beliebt Rechnen >

y^{'''}-9y^{''}+25y^'-17y=0

Lösung

y^{^{'''}} - 9 y^{^{''}} + 25 y^{^{'}} - 17 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 9 y^{''} (t) + 25 y^{'} (t) - 17 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-6y^{''}+5y+12y=0

y^{^{'''}} - 6 y^{^{''}} + 5 y + 12 y = 0

10x^{''}+25x^'=0

10 x^{^{''}} + 25 x^{^{'}} = 0

x^{''}+8x^'+11x=0,x(0)=0,x^'(0)=3

x^{^{''}} + 8 x^{^{'}} + 11 x = 0, x (0) = 0, x^{^{'}} (0) = 3

y^{''}-8y^{''}-9y=0

y^{^{''}} - 8 y^{^{''}} - 9 y = 0

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

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = \frac{1}{4}