sec(y)dx+(csc^2(x))dy=0

Lösung

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

y = arcsin (- \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + c_{1}) + 2 πn, y = π + arcsin (\frac{1}{2} (x - \frac{1}{2} sin (2 x)) - c_{1}) + 2 πn

Schritte zur Lösung

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

Solve separable ODE:

y = arcsin (- \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + c_{1}) + 2 πn, y = π + arcsin (\frac{1}{2} (x - \frac{1}{2} sin (2 x)) - c_{1}) + 2 πn

y = arcsin (- \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + c_{1}) + 2 πn, y = π + arcsin (\frac{1}{2} (x - \frac{1}{2} sin (2 x)) - c_{1}) + 2 πn

y \frac{d x}{d y} = cos^{2} (x)

14 y^{6} \frac{d y}{d x} = 8 x^{7}

7 x y \frac{d y}{d x} = 4, y > 0, x > 0

\frac{d y}{d x} = x y, y (- 1) = \frac{25}{16}

(1 + e^{x}) e^{y} y^{^{'}} = y^{- 1}