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

Lösung

(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

Schritte zur Lösung

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

Solve exact ODE:

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

x y^{^{'}} - x - x^{2} - 3 y = 0

\int \frac{3 t ^{2}}{t ^{3} + 5} d t

\int x \cdot x + 3 d x

\frac{\partial}{\partial y} (x + y sin (t))

\int_{0}^{π} sin^{2} (x co) s^{4} x d x