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Beliebt Rechnen >

x^2(d^2y)/(dx^2)-5xy^'+8y=4x^2

Lösung

x^{2} \frac{d ^{2} y}{d x ^{2}} - 5 x y^{^{'}} + 8 y = 4 x^{2}

Lösung

y = c_{1} x^{4} + c_{2} x^{2} - x^{2} - 2 x^{2} ln (x)

Schritte zur Lösung

x^{2} y^{''} (x) - 5 x y^{'} (x) + 8 y = 4 x^{2}

Solve linear ODE:

y = c_{1} x^{4} + c_{2} x^{2} - x^{2} - 2 x^{2} ln (x)

y = c_{1} x^{4} + c_{2} x^{2} - x^{2} - 2 x^{2} ln (x)

Graph

Beliebte Beispiele

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