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Beliebt Rechnen >

64y^{''}+48y^'+9y=0

Lösung

64 y^{^{''}} + 48 y^{^{'}} + 9 y = 0

Lösung

y = c_{1} e^{- \frac{3 t}{8}} + c_{2} e^{- \frac{3 t}{8}} t

Schritte zur Lösung

64 y^{''} (t) + 48 y^{'} (t) + 9 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{3 t}{8}} + c_{2} e^{- \frac{3 t}{8}} t

y = c_{1} e^{- \frac{3 t}{8}} + c_{2} e^{- \frac{3 t}{8}} t

Graph

Beliebte Beispiele

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

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

64 y^{^{''}} - 81 y = 0

y^{''}+9y=0,y(0)=3,y^'(0)=-4

y^{^{''}} + 9 y = 0, y (0) = 3, y^{^{'}} (0) = - 4

y^{''}-6y^'+25y=0,y(0)=2,y^'(0)=2

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = 2

y^{''}=5y,y(0)=-2,y(2)=10

y^{^{''}} = 5 y, y (0) = - 2, y (2) = 10