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Beliebt Rechnen >

y^{''}-2y^'=12x^2

Lösung

y^{^{''}} - 2 y^{^{'}} = 12 x^{2}

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=5x^{-2x}

y^{^{''}} - 6 y^{^{'}} + 9 y = 5 x^{- 2 x}

y^{''}-3y^'-5=e^{2x}-3cos(3x)

y^{^{''}} - 3 y^{^{'}} - 5 = e^{2 x} - 3 cos (3 x)

y^{''}+3y^'+2=sin(e^x)

y^{^{''}} + 3 y^{^{'}} + 2 = sin (e^{x})

y^{''}+10y^'+16y=949sin(3t)

y^{^{''}} + 10 y^{^{'}} + 16 y = 949 sin (3 t)

y^{''}+2y^'+5y=10cos(x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 10 cos (x)