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Beliebt Rechnen >

xy^'-y= 5/4x*ln(x)

Lösung

x \cdot y^{^{'}} - y = \frac{5}{4} \cdot x \cdot ln (x)

Lösung

y = \frac{5}{8} ln^{2} (x) x + c_{1} x

Schritte zur Lösung

x \cdot y^{'} (x) - y = \frac{5}{4} \cdot x \cdot ln (x)

Solve linear ODE:

y = \frac{5}{8} ln^{2} (x) x + c_{1} x

y = \frac{5}{8} ln^{2} (x) x + c_{1} x

Graph

Beliebte Beispiele

(dy}{dx}+y(1-2x)=-\frac{x^2)/2 y

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

derivative y=x^53^x

d er i v a t i v e y = x^{5} 3^{x}

integral of sqrt((1+(1/(4x^{2/3))))}

\int (1 + (\frac{1}{4 x ^{\frac{2}{3}}})) d x

(dy)/(dx)=2y-2y^5

\frac{d y}{d x} = 2 y - 2 y^{5}

integral of (ln(x)+1)/(x^2)

\int \frac{ln ( x ) + 1}{x ^{2}} d x