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Beliebt Rechnen >

y^{''}+3y^'+6*x=0

Lösung

y^{^{''}} + 3 y^{^{'}} + 6 \cdot x = 0

Lösung

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

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 6 \cdot x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'+12y=2x(e^{2x}-e^{-2x})

y^{^{''}} - 8 y^{^{'}} + 12 y = 2 x (e^{2 x} - e^{- 2 x})

4q^{''}+8q^'+80q=88t

4 q^{^{''}} + 8 q^{^{'}} + 80 q = 88 t

3y^{''}-8y^'-3y=5

3 y^{^{''}} - 8 y^{^{'}} - 3 y = 5

y^{''}+4y^'-5=2t^2-3t+6

y^{^{''}} + 4 y^{^{'}} - 5 = 2 t^{2} - 3 t + 6

y^{''}+25y=6x,y(0)=1,y^'(0)=5

y^{^{''}} + 25 y = 6 x, y (0) = 1, y^{^{'}} (0) = 5