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Beliebt Rechnen >

2y^{''}+36y^'+163y=0,y(0)=2,y^'(0)=0

Lösung

2 y^{^{''}} + 36 y^{^{'}} + 163 y = 0, y (0) = 2, y^{^{'}} (0) = 0

Lösung

y = e^{- 9 t} (2 cos (\frac{t}{2}) + 182 sin (\frac{t}{2}))

Schritte zur Lösung

2 y^{''} (t) + 36 y^{'} (t) + 163 y = 0

Solve linear ODE:

y = e^{- 9 t} (2 cos (\frac{t}{2}) + 182 sin (\frac{t}{2}))

y = e^{- 9 t} (2 cos (\frac{t}{2}) + 182 sin (\frac{t}{2}))

Graph

Beliebte Beispiele

y^{''}+8y^'-9y=0,y(1)=1

y^{^{''}} + 8 y^{^{'}} - 9 y = 0, y (1) = 1

x^{''}+2x^'+3x=0

x^{^{''}} + 2 x^{^{'}} + 3 x = 0

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

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

y^{''}+4y^'-5y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{''}=7y^'-12y

y^{^{''}} = 7 y^{^{'}} - 12 y