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Beliebt Rechnen >

y^{''}+3y^'+9/4 y=0

Lösung

y^{^{''}} + 3 y^{^{'}} + \frac{9}{4} y = 0

Lösung

y = c_{1} e^{- \frac{3 t}{2}} + c_{2} e^{- \frac{3 t}{2}} t

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + \frac{9}{4} y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{3 t}{2}} + c_{2} e^{- \frac{3 t}{2}} t

y = c_{1} e^{- \frac{3 t}{2}} + c_{2} e^{- \frac{3 t}{2}} t

Graph

Beliebte Beispiele

y^{''}-y^'-12y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - y^{^{'}} - 12 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

24y^{''}+7y^'-5y=0

24 y^{^{''}} + 7 y^{^{'}} - 5 y = 0

2y^{''}+12y^'+18y=0

2 y^{^{''}} + 12 y^{^{'}} + 18 y = 0

y^{''}+2y^'+9y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 9 y = 0, y (0) = 1, y^{^{'}} (0) = 0

3x^{''}-7x^'+4x=0

3 x^{^{''}} - 7 x^{^{'}} + 4 x = 0