x^2(dy)/(dx)=y

Lösung

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

y = e^{- \frac{1}{x} + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{1}{x} + c_{1}}

y = e^{- \frac{1}{x} + c_{1}}

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

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

x^{2} + 2 y^{2} - 2 x - 8 y + 6 = 0 (0.3)

\int \frac{36 x ^{2} - 49}{x ^{3}} d x

x \to \frac{π}{2} - lim (sec (x))