2xdx+x^2cot(y)dy=0

Lösung

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

y = arcsin (\frac{c _{1}}{x ^{2}}) + 2 πn, y = π + arcsin (- \frac{c _{1}}{x ^{2}}) + 2 πn

Schritte zur Lösung

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

Solve separable ODE:

y = arcsin (\frac{c _{1}}{x ^{2}}) + 2 πn, y = π + arcsin (- \frac{c _{1}}{x ^{2}}) + 2 πn

y = arcsin (\frac{c _{1}}{x ^{2}}) + 2 πn, y = π + arcsin (- \frac{c _{1}}{x ^{2}}) + 2 πn

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

\frac{d x}{d t} = 100 - \frac{x}{100}

(1 + x) y d x + (1 - y) x d y = 0

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

\frac{d r}{d s} = e^{r - 2 s}, r (0) = 0