Sr Examen
Ecuación diferencial cosydx=(x+2cosy)*sinydy
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d
cos(y(x)) = x*--(y(x))*sin(y(x)) + 2*--(y(x))*cos(y(x))*sin(y(x))
dx dx
$$\cos{\left(y{\left(x \right)} \right)} = x \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + 2 \sin{\left(y{\left(x \right)} \right)} \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)}$$
cos(y) = x*sin(y)*y' + 2*sin(y)*cos(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, -7.82977063823268e-09)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 6.971028255580836e+173)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 6.29567287026948e-66)
(7.777777777777779, 8.388243566958627e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)