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Beliebt Rechnen >

8y^{''}+3y^'=12x

Lösung

8 y^{^{''}} + 3 y^{^{'}} = 12 x

Lösung

y = c_{1} + c_{2} e^{- \frac{3 x}{8}} + 2 x^{2} - \frac{32 x}{3}

Schritte zur Lösung

8 y^{''} (x) + 3 y^{'} (x) = 12 x

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{3 x}{8}} + 2 x^{2} - \frac{32 x}{3}

y = c_{1} + c_{2} e^{- \frac{3 x}{8}} + 2 x^{2} - \frac{32 x}{3}

Graph

Beliebte Beispiele

y^{''}+y^'-6y=e^{2t}

y^{^{''}} + y^{^{'}} - 6 y = e^{2 t}

y^{''}-4y^'+5y=(x+1)^3

y^{^{''}} - 4 y^{^{'}} + 5 y = (x + 1)^{3}

y^{''}+9y=18t,y(pi/2)=0

y^{^{''}} + 9 y = 18 t, y (\frac{π}{2}) = 0

y^{''}+6y^'+9y=e^{-3x}

y^{^{''}} + 6 y^{^{'}} + 9 y = e^{- 3 x}

y^{''}-y^'-2y=6x+5e^{4x}

y^{^{''}} - y^{^{'}} - 2 y = 6 x + 5 e^{4 x}