(dy)/(dx)=cos(x)tan(y)

Lösung

\frac{d y}{d x} = cos (x) tan (y)

y = arcsin (e^{s i n (x) + c_{1}}) + 2 πn, y = π + arcsin (- e^{s i n (x) + c_{1}}) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = cos (x) tan (y)

Solve separable ODE:

y = arcsin (e^{s i n (x) + c_{1}}) + 2 πn, y = π + arcsin (- e^{s i n (x) + c_{1}}) + 2 πn

y = arcsin (e^{s i n (x) + c_{1}}) + 2 πn, y = π + arcsin (- e^{s i n (x) + c_{1}}) + 2 πn

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

y^{^{'}} = - (1 - y) (2 - y)

y^{^{'}} = - \frac{1}{3} y^{2}

\frac{d y}{d x} = 60 y x^{9}

y^{^{'}} - 3 e^{5 x - 2 y} = 0