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Beliebt Rechnen >

y^{''}+6y^'+10y=0,y(pi/2)=0,y^'(pi/2)=9

Lösung

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 9

Lösung

y = - 9 e^{\frac{3 π}{2} - 3 t} cos (t)

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = - 9 e^{\frac{3 π}{2} - 3 t} cos (t)

y = - 9 e^{\frac{3 π}{2} - 3 t} cos (t)

Graph

Beliebte Beispiele

y^{''}-y^'+144y=0

y^{^{''}} - y^{^{'}} + 144 y = 0

y^{''}+64y=0,y(0)=0,y^'(0)=8

y^{^{''}} + 64 y = 0, y (0) = 0, y^{^{'}} (0) = 8

u^{''}+3u^'+5\H(t)=0

u^{^{''}} + 3 u^{^{'}} + 5 H (t) = 0

y^{''}-6y=0,y(0)=-23,y^'(0)=6

y^{^{''}} - 6 y = 0, y (0) = - 23, y^{^{'}} (0) = 6

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