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Beliebt Rechnen >

y^{''''}-18y^{'''}+81y^{''}=0

Lösung

y^{^{''''}} - 18 y^{^{'''}} + 81 y^{^{''}} = 0

Lösung

y = c_{1} + c_{2} t + c_{3} e^{9 t} + c_{4} t e^{9 t}

Schritte zur Lösung

y^{(4)} (t) - 18 y^{'''} (t) + 81 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} t + c_{3} e^{9 t} + c_{4} t e^{9 t}

y = c_{1} + c_{2} t + c_{3} e^{9 t} + c_{4} t e^{9 t}

Graph

Beliebte Beispiele

y^{''}-8y^'-33y=0

y^{^{''}} - 8 y^{^{'}} - 33 y = 0

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

y^{^{''}} - \frac{5}{2} y^{^{'}} + y = 0

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

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

y^{''}+2y^'+5y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 1

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

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 2 y = 0