Sr Examen
Ecuación diferencial siny+2xcosy'=sin2yy'
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d
- 2*x*--(y(x))*sin(y(x)) + sin(y(x)) = --(y(x))*sin(2*y(x))
dx dx
$$- 2 x \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + \sin{\left(y{\left(x \right)} \right)} = \sin{\left(2 y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)}$$
-2*x*sin(y)*y' + sin(y) = sin(2*y)*y'
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
1st power series
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.6121384702309778)
(-5.555555555555555, 0.41798889378764453)
(-3.333333333333333, 0.08673759254305521)
(-1.1111111111111107, -0.9527244701399706)
(1.1111111111111107, -3.6087865247892212)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 1.7159818507571235e+185)
(7.777777777777779, 8.388243567719543e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)