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Beliebt Rechnen >

x^2y^'+x(x+2)y=x

Lösung

x^{2} y^{^{'}} + x (x + 2) y = x

Lösung

y = \frac{1}{x} - \frac{1}{x ^{2}} + \frac{c _{1}}{e ^{x} x ^{2}}

Schritte zur Lösung

x^{2} y^{'} (x) + x (x + 2) y = x

Solve linear ODE:

y = \frac{1}{x} - \frac{1}{x ^{2}} + \frac{c _{1}}{e ^{x} x ^{2}}

y = \frac{1}{x} - \frac{1}{x ^{2}} + \frac{c _{1}}{e ^{x} x ^{2}}

Graph

Beliebte Beispiele

(x + 2 y) d x - x d y = 0

integral of (3x^4-5x^2+x)

\int (3 x^{4} - 5 x^{2} + x) d x

taylor arctan(x^2),0

t a y l or arctan (x^{2}), 0

derivative of sqrt(log_{a)(-x^2-x})

\frac{d}{d x} (lo g_{a} (- x^{2} - x))

derivative of (e^{3x}-1^5)

\frac{d}{d x} ((e^{3 x} - 1)^{5})