(1-xy)dx+(xy-x^2)dy=0

Lösung

(1 - x y) d x + (x y - x^{2}) d y = 0

y = x + x^{2} - 2 (ln (x) - c_{1}), y = x - x^{2} - 2 (ln (x) - c_{1})

Schritte zur Lösung

(1 - x y) d x + (x y - x^{2}) d y = 0

Solve exact ODE:

y = x + x^{2} - 2 (ln (x) - c_{1}), y = x - x^{2} - 2 (ln (x) - c_{1})

y = x + x^{2} - 2 (ln (x) - c_{1}), y = x - x^{2} - 2 (ln (x) - c_{1})

\int tan^{2} (x) x d x

\int_{3}^{11} x d x

n = 0 \sum \infty n!

\int e^{2 x} \cdot sin (- 3 x) d x

n = 2 \sum \infty \frac{2}{5 ^{n}}