(tan(x)-sin(x)sin(y))dx+cos(x)cos(y)dy=0

解

(tan (x) - sin (x) sin (y)) d x + cos (x) cos (y) d y = 0

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

解答ステップ

(tan (x) - sin (x) sin (y)) d x + cos (x) cos (y) d y = 0

完全 ODE を解く:

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

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