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

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

Ha introducido [src]

   2    d                       
sec (x)*--(y(x)) + csc(y(x)) = 0
        dx

$$\csc{\left(y{\left(x \right)} \right)} + \sec^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$

csc(y) + sec(x)^2*y' = 0

Respuesta [src]

             /     x   sin(2*x)\       
y(x) = - acos|C1 + - + --------| + 2*pi
             \     2      4    /

$$y{\left(x \right)} = - \operatorname{acos}{\left(C_{1} + \frac{x}{2} + \frac{\sin{\left(2 x \right)}}{4} \right)} + 2 \pi$$

           /     x   sin(2*x)\
y(x) = acos|C1 + - + --------|
           \     2      4    /

$$y{\left(x \right)} = \operatorname{acos}{\left(C_{1} + \frac{x}{2} + \frac{\sin{\left(2 x \right)}}{4} \right)}$$

Clasificación

factorable

separable

1st power series

lie group

separable Integral