Sr Examen
Ecuación diferencial (3y+2xcosy-ysec^2xy)dx+(3x-x^2seny-xsec^2xy)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
2 d 2 d 2 d
3*y(x) - sec (x*y(x))*y(x) + 2*x*cos(y(x)) + 3*x*--(y(x)) - x*sec (x*y(x))*--(y(x)) - x *--(y(x))*sin(y(x)) = 0
dx dx dx
$$- x^{2} \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + 2 x \cos{\left(y{\left(x \right)} \right)} - x \sec^{2}{\left(x y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + 3 x \frac{d}{d x} y{\left(x \right)} - y{\left(x \right)} \sec^{2}{\left(x y{\left(x \right)} \right)} + 3 y{\left(x \right)} = 0$$
-x^2*sin(y)*y' + 2*x*cos(y) - x*sec(x*y)^2*y' + 3*x*y' - y*sec(x*y)^2 + 3*y = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.5547645913587671)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 2.3858701223325355e+180)
(7.777777777777779, 8.388243566973865e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)