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Beliebt Rechnen >

y^{''}-17y^'+72y=0,y(0)=5,y^'(0)=0

Lösung

y^{^{''}} - 17 y^{^{'}} + 72 y = 0, y (0) = 5, y^{^{'}} (0) = 0

Lösung

y = - 40 e^{9 t} + 45 e^{8 t}

Schritte zur Lösung

y^{''} (t) - 17 y^{'} (t) + 72 y = 0

Solve linear ODE:

y = - 40 e^{9 t} + 45 e^{8 t}

y = - 40 e^{9 t} + 45 e^{8 t}

Graph

Beliebte Beispiele

9y^{''}+12y^'+5y=0

9 y^{^{''}} + 12 y^{^{'}} + 5 y = 0

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

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

2y^{''}+4y^'+5y=0

2 y^{^{''}} + 4 y^{^{'}} + 5 y = 0

y^{''}-10y^'-24y=0

y^{^{''}} - 10 y^{^{'}} - 24 y = 0

(d^2y)/(dx^2)+100y=0

\frac{d ^{2} y}{d x ^{2}} + 100 y = 0