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Beliebt Rechnen >

y^{''}+3y^'+6y=0,y(0)=0,y^'(0)=1

Lösung

y^{^{''}} + 3 y^{^{'}} + 6 y = 0, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = \frac{2}{15} e^{- \frac{3 t}{2}} sin (\frac{15 t}{2})

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 6 y = 0

Solve linear ODE:

y = \frac{2}{15} e^{- \frac{3 t}{2}} sin (\frac{15 t}{2})

y = \frac{2}{15} e^{- \frac{3 t}{2}} sin (\frac{15 t}{2})

Graph

Beliebte Beispiele

4y^{''}+20y^'+25y=0,y(0)=1

4 y^{^{''}} + 20 y^{^{'}} + 25 y = 0, y (0) = 1

y^{''}+0.5y^'+y=0

y^{^{''}} + 0.5 y^{^{'}} + y = 0

y^{''}+8y^'+20y=0,y(0)=1,y^'(0)=7

y^{^{''}} + 8 y^{^{'}} + 20 y = 0, y (0) = 1, y^{^{'}} (0) = 7

x^{''}-x^'-110x=0,x(0)=14

x^{^{''}} - x^{^{'}} - 110 x = 0, x (0) = 14

3y^{''}+5y^'+y=0

3 y^{^{''}} + 5 y^{^{'}} + y = 0