Sr Examen
Ecuación diferencial dx+(x/y-seny)dy=0
⌨
Solución
Ha introducido
[src]
d
x*--(y(x))
d dx
1 - --(y(x))*sin(y(x)) + ---------- = 0
dx y(x)
$$\frac{x \frac{d}{d x} y{\left(x \right)}}{y{\left(x \right)}} - \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + 1 = 0$$
x*y'/y - sin(y)*y' + 1 = 0
Respuesta
[src]
-sin(y(x)) + x*y(x) + cos(y(x))*y(x) = C1
$$x y{\left(x \right)} + y{\left(x \right)} \cos{\left(y{\left(x \right)} \right)} - \sin{\left(y{\left(x \right)} \right)} = C_{1}$$
Gráfico para el problema de Cauchy
Clasificación
1st exact
1st power series
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.9480310371336451)
(-5.555555555555555, 1.2697773825774565)
(-3.333333333333333, 1.8490395342312562)
(-1.1111111111111107, 3.5319730622229)
(1.1111111111111107, 6.971028255580836e+173)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 5.107659831618641e-38)
(7.777777777777779, 8.388243567338114e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)