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Beliebt Rechnen >

y^{''}-3y^'=6xe^{3x}

Lösung

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

Lösung

y = c_{1} e^{3 x} + c_{2} + e^{3 x} x^{2} - \frac{2}{9} (3 e^{3 x} x - e^{3 x})

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) = 6 x e^{3 x}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} + e^{3 x} x^{2} - \frac{2}{9} (3 e^{3 x} x - e^{3 x})

y = c_{1} e^{3 x} + c_{2} + e^{3 x} x^{2} - \frac{2}{9} (3 e^{3 x} x - e^{3 x})

Graph

Beliebte Beispiele

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

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

y^{''}+6y^'+9y=x

y^{^{''}} + 6 y^{^{'}} + 9 y = x

x^{''}+2x^'+2x=2,x(0)=0,x^'(0)=0

x^{^{''}} + 2 x^{^{'}} + 2 x = 2, x (0) = 0, x^{^{'}} (0) = 0

y^{''}=2y+tan^3(x),y^1(x)= 1/2 tan(x)

y^{^{''}} = 2 y + tan^{3} (x), y^{1} (x) = \frac{1}{2} tan (x)

y^{''}-11y^'+28y=108e^t

y^{^{''}} - 11 y^{^{'}} + 28 y = 108 e^{t}