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Beliebt Rechnen >

x^2y^{''}-7xy^'+7y=13x^{1/2}

Lösung

x^{2} y^{^{''}} - 7 x y^{^{'}} + 7 y = 13 x^{\frac{1}{2}}

Lösung

y = c_{1} x^{7} + c_{2} x + 4 x^{\frac{1}{2}}

Schritte zur Lösung

x^{2} y^{''} (x) - 7 x y^{'} (x) + 7 y = 13 x^{\frac{1}{2}}

Solve linear ODE:

y = c_{1} x^{7} + c_{2} x + 4 x^{\frac{1}{2}}

y = c_{1} x^{7} + c_{2} x + 4 x^{\frac{1}{2}}

Graph

Beliebte Beispiele

y(dy)/(dx)=3sqrt(xy^2+9x)

y \frac{d y}{d x} = 3 x y^{2} + 9 x

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\frac{d}{d x} (a x sin (x))

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\frac{d y}{d x} = x y cos (x)