Sr Examen
Ecuación diferencial dx*csc(y)+dy*x*sec(x)^2=0
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Solución
Ha introducido
[src]
2 d
x*sec (x)*--(y(x)) + csc(y(x)) = 0
dx
$$x \sec^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + \csc{\left(y{\left(x \right)} \right)} = 0$$
x*sec(x)^2*y' + csc(y) = 0
Respuesta
[src]
/ / 2\\
| Ci(2*x) log\x /|
y(x) = - acos|C1 + ------- + -------| + 2*pi
\ 2 4 /
$$y{\left(x \right)} = - \operatorname{acos}{\left(C_{1} + \frac{\log{\left(x^{2} \right)}}{4} + \frac{\operatorname{Ci}{\left(2 x \right)}}{2} \right)} + 2 \pi$$
/ / 2\\
| Ci(2*x) log\x /|
y(x) = acos|C1 + ------- + -------|
\ 2 4 /
$$y{\left(x \right)} = \operatorname{acos}{\left(C_{1} + \frac{\log{\left(x^{2} \right)}}{4} + \frac{\operatorname{Ci}{\left(2 x \right)}}{2} \right)}$$
Clasificación
factorable
separable
lie group
separable Integral