(dy)/(dx)=(-sqrt(x))/(sqrt(y))

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

x \to \frac{5}{4} lim (\frac{16 x ^{2} - 25}{4 x - 5})

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

\int_{0}^{2} \frac{x}{( 1 + 2 x ^{2} ) ^{2}} d x

\int_{- 18}^{32} \frac{1}{2 x} d x

\frac{d ^{2}}{d x ^{2}} (x^{2} + 11)