Sr Examen
Ecuación diferencial sen(x+y)dx+sen(cscxdy-cosxdx)=0
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Solución
Ha introducido
[src]
sin(dx*cos(x) - dy*csc(x))
- -------------------------- + sin(x + y(x)) = 0
dx
$$\sin{\left(x + y{\left(x \right)} \right)} - \frac{\sin{\left(dx \cos{\left(x \right)} - dy \csc{\left(x \right)} \right)}}{dx} = 0$$
sin(x + y) - sin(dx*cos(x) - dy*csc(x))/dx = 0
Respuesta
[src]
/sin(dx*cos(x) - dy*csc(x))\
y(x) = -x + asin|--------------------------|
\ dx /
$$y{\left(x \right)} = - x + \operatorname{asin}{\left(\frac{\sin{\left(dx \cos{\left(x \right)} - dy \csc{\left(x \right)} \right)}}{dx} \right)}$$
/sin(dx*cos(x) - dy*csc(x))\
y(x) = pi - x - asin|--------------------------|
\ dx /
$$y{\left(x \right)} = - x - \operatorname{asin}{\left(\frac{\sin{\left(dx \cos{\left(x \right)} - dy \csc{\left(x \right)} \right)}}{dx} \right)} + \pi$$
Clasificación
nth algebraic
nth algebraic Integral