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Beliebt Rechnen >

xy^{''}+xy^'=x

Lösung

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

Lösung

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

Schritte zur Lösung

x y^{''} (x) + x y^{'} (x) = x

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

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)