Sr Examen
Ecuación diferencial (-y*sin(y)+x*cos(y))dy=-(xsiny+ycosy)dx
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d x*--(y(x))*cos(y(x)) - --(y(x))*sin(y(x))*y(x) = -x*sin(y(x)) - cos(y(x))*y(x) dx dx
$$x \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} - y{\left(x \right)} \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = - x \sin{\left(y{\left(x \right)} \right)} - y{\left(x \right)} \cos{\left(y{\left(x \right)} \right)}$$
x*cos(y)*y' - y*sin(y)*y' = -x*sin(y) - y*cos(y)
Gráfico para el problema de Cauchy
Clasificación
1st power series
lie group
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.09693698609864279)
(-5.555555555555555, 0.014690043443372467)
(-3.333333333333333, 0.0026531603093387676)
(-1.1111111111111107, 0.0008625830909992275)
(1.1111111111111107, 1.638565937052874)
(3.333333333333334, 2.3521763741192614)
(5.555555555555557, 2.619714124022164)
(7.777777777777779, 2.7554584821285037)
(10.0, 2.8363003903997837)
(10.0, 2.8363003903997837)