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

Lösung

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

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

Schritte zur Lösung

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

Solve exact ODE:

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

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

\int (3^{4} \cdot sin^{4} (x) - cos^{4} (x)) d x

\int \frac{3 e ^{x}}{e ^{2 x} + 4 e ^{x} + 4} d x

t \to \infty lim (e^{t})

\frac{\partial}{\partial y} (x sin (x^{2} - y^{2}))

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