2sqrt(xy)(dy)/(dx)=3

Lösung

2 x y \frac{d y}{d x} = 3

y = 3 \frac{81 x}{4} + \frac{27 c _{1} x}{2} + \frac{9 c _{1}^{2}}{4}

Schritte zur Lösung

2 x y \frac{d y}{d x} = 3

Solve separable ODE:

y = 3 \frac{81 x}{4} + \frac{27 c _{1} x}{2} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{81 x}{4} + \frac{27 c _{1} x}{2} + \frac{9 c _{1}^{2}}{4}

\int \frac{ln ( x ) - 1}{x} d x

x \to 1 lim (3 x - 6)

\frac{d}{d x} (ln (6 \frac{x - 5}{x + 5}))

in v erse l a pl a ce \frac{2 s e ^{- 2 s}}{5 s ^{2} + 45}

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