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Beliebt Rechnen >

y^{''''}-40y^{'''}+400y^{''}=0

Lösung

y^{^{''''}} - 40 y^{^{'''}} + 400 y^{^{''}} = 0

Lösung

y = c_{1} + c_{2} t + c_{3} e^{20 t} + c_{4} t e^{20 t}

Schritte zur Lösung

y^{(4)} (t) - 40 y^{'''} (t) + 400 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} t + c_{3} e^{20 t} + c_{4} t e^{20 t}

y = c_{1} + c_{2} t + c_{3} e^{20 t} + c_{4} t e^{20 t}

Graph

Beliebte Beispiele

x^{''}+sqrt(2)x^'+8x=0

y^{''}+4y=0,y^'(0)=0,y(0)=0

1/8 x^{''}+x^'+2x=0

y^{''}+5/2 y^'+y=0

(d^2y)/(dx^2)+3(dy)/(dx)-4y=0