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Beliebt Rechnen >

x^2y^'+2xy=ln(x),y(1)=6

Lösung

x^{2} y^{^{'}} + 2 x y = ln (x), y (1) = 6

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches-2-of x/(x^2-4)

x \to - 2 - lim (\frac{x}{x ^{2} - 4})

derivative sqrt(y/2)

d er i v a t i v e \frac{y}{2}

derivative of-(48x/((x^2+12)^2))

\frac{d}{d x} (- \frac{48 x}{( x ^{2} + 12 ) ^{2}})

integral of e^{ix}

\int e^{i x} d x

derivative 1/(sin(x))

d er i v a t i v e \frac{1}{sin ( x )}