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Beliebt Rechnen >

y^{'''}-6y^{''}+11y^'-6y=0,y(pi)=0

Lösung

y^{^{'''}} - 6 y^{^{''}} + 11 y^{^{'}} - 6 y = 0, y (π) = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 6 y^{''} (t) + 11 y^{'} (t) - 6 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}-4y+5y=0,y(0)= 1/2 ,y^'(0)=1

y^{''}-10y^'-16y=0

5/6 y^{''}+10y^'+60y=0,y(0)=0,y^'(0)=0

(d^2y)/(dx^2)+(dy)/(dx)+6y=0