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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (t) - (2 a - 1) y^{'} (t) + a (a - 1) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

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

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

(d^{4} + 4 d^{2}) y = 0

y^{''}-y^'-11y=0

y^{^{''}} - y^{^{'}} - 11 y = 0

y^{''}+2y^'+5y=0,y(0)=2,y(0)=4

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 2, y (0) = 4