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Beliebt Rechnen >

y^{''}+3y^'+5y=0,y(0)=4

Lösung

y^{^{''}} + 3 y^{^{'}} + 5 y = 0, y (0) = 4

Lösung

y = e^{- \frac{3 t}{2}} (4 cos (\frac{11 t}{2}) + c_{2} sin (\frac{11 t}{2}))

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{3 t}{2}} (4 cos (\frac{11 t}{2}) + c_{2} sin (\frac{11 t}{2}))

y = e^{- \frac{3 t}{2}} (4 cos (\frac{11 t}{2}) + c_{2} sin (\frac{11 t}{2}))

Graph

Beliebte Beispiele

y^{''}+4y^'-5y=0,y(0)=2,y^'(0)=14

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 2, y^{^{'}} (0) = 14

33y^{''''}-188y^{''}+64y=0

33 y^{^{''''}} - 188 y^{^{''}} + 64 y = 0

y^{''}+3y^'-18y=0,y(0)=a,y^'(0)=-12

y^{^{''}} + 3 y^{^{'}} - 18 y = 0, y (0) = a, y^{^{'}} (0) = - 12

(4 D^{2} - 4 D + 1) y = 0

x^{''}-(pi/2)^2x=0

x^{^{''}} - (\frac{π}{2})^{2} x = 0