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Beliebt Rechnen >

y^{''''}-20y^{'''}+100y^{''}=0

Lösung

y^{^{''''}} - 20 y^{^{'''}} + 100 y^{^{''}} = 0

Lösung

y = c_{1} + c_{2} t + c_{3} e^{10 t} + c_{4} t e^{10 t}

Schritte zur Lösung

y^{(4)} (t) - 20 y^{'''} (t) + 100 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} t + c_{3} e^{10 t} + c_{4} t e^{10 t}

y = c_{1} + c_{2} t + c_{3} e^{10 t} + c_{4} t e^{10 t}

Graph

Beliebte Beispiele

81y^{''}-9y=0,y(0)=0,y^'(0)=0

81 y^{^{''}} - 9 y = 0, y (0) = 0, y^{^{'}} (0) = 0

9y^{''}+4y^'-5y=0

9 y^{^{''}} + 4 y^{^{'}} - 5 y = 0

y^{''}+(3-a)y^'-2(a-1)y=0

y^{^{''}} + (3 - a) y^{^{'}} - 2 (a - 1) y = 0

-cx^{''}=bx,x(0)=0

- c x^{^{''}} = b x, x (0) = 0

y^{''}-2y^'+65y=0,y(0)=1,y^'(0)=4

y^{^{''}} - 2 y^{^{'}} + 65 y = 0, y (0) = 1, y^{^{'}} (0) = 4