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Beliebt Rechnen >

y^{'''}-5y^{''}+17y-13y=0

Lösung

y^{^{'''}} - 5 y^{^{''}} + 17 y - 13 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 5 y^{''} (t) + 17 y - 13 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(D^3-4D^2+5D)y=0

(D^{3} - 4 D^{2} + 5 D) y = 0

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

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

y^{'''}-3y^{''}-34y^'-48y=0

y^{^{'''}} - 3 y^{^{''}} - 34 y^{^{'}} - 48 y = 0

2y^{''}-11y^'+5y=0,y(0)=13,y^'(0)=47

2 y^{^{''}} - 11 y^{^{'}} + 5 y = 0, y (0) = 13, y^{^{'}} (0) = 47

755x^{''}+2x^'+10x=0

755 x^{^{''}} + 2 x^{^{'}} + 10 x = 0