y^{''}+2y^'+37y=0,y(0)=2,y^'(0)=-26

Lösung

y^{^{''}} + 2 y^{^{'}} + 37 y = 0, y (0) = 2, y^{^{'}} (0) = - 26

y = e^{- t} (2 cos (6 t) - 4 sin (6 t))

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 37 y = 0

Solve linear ODE:

y = e^{- t} (2 cos (6 t) - 4 sin (6 t))

y = e^{- t} (2 cos (6 t) - 4 sin (6 t))

y^{^{''}} - 4 y^{^{'}} + 29 y = 0, y (0) = 4, y^{^{'}} (0) = 18

y^{^{''}} - 83 y^{^{'}} + α y = 0

y^{^{''}} + y = 0, y^{^{'}} (\frac{π}{4}) = 2, y^{^{'}} (0) = 1

y^{^{''}} + 0 y^{^{'}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 0

y^{^{''}} + 2 y^{^{'}} - 15 y = 0, y (0) = 1