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Beliebt Rechnen >

y^{'''}-5y^{''}+3y^'+9=0

Lösung

y^{^{'''}} - 5 y^{^{''}} + 3 y^{^{'}} + 9 = 0

Lösung

y = c_{1} + c_{2} e^{\frac{( 5 + 13 ) t}{2}} + c_{3} e^{\frac{( 5 - 13 ) t}{2}} - 3 t

Schritte zur Lösung

y^{'''} (t) - 5 y^{''} (t) + 3 y^{'} (t) + 9 = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{\frac{( 5 + 13 ) t}{2}} + c_{3} e^{\frac{( 5 - 13 ) t}{2}} - 3 t

y = c_{1} + c_{2} e^{\frac{( 5 + 13 ) t}{2}} + c_{3} e^{\frac{( 5 - 13 ) t}{2}} - 3 t

Graph

Beliebte Beispiele

y^{''}-2y^'+y=-1/(x^2)e^x

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