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Beliebt Rechnen >

y^{'''}-5y^{''}+9y^'-5y=0

Lösung

y^{^{'''}} - 5 y^{^{''}} + 9 y^{^{'}} - 5 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 5 y^{''} (t) + 9 y^{'} (t) - 5 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=0,y(0)=-4,y^'(0)=-71/5

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = - 4, y^{^{'}} (0) = - \frac{71}{5}

25y^{''}+10y^'+1y=0

25 y^{^{''}} + 10 y^{^{'}} + 1 y = 0

3y^{''}-13y^'+14y=0

3 y^{^{''}} - 13 y^{^{'}} + 14 y = 0

linear 2y^{''}+13y^'-7y=0

l in e a r 2 y^{^{''}} + 13 y^{^{'}} - 7 y = 0

10x^{''}+7x^'+x=0

10 x^{^{''}} + 7 x^{^{'}} + x = 0