Sr Examen
Ecuación diferencial (cosx-xcosy)dy-(siny+ysinx)dx=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d
-sin(y(x)) + --(y(x))*cos(x) - sin(x)*y(x) - x*--(y(x))*cos(y(x)) = 0
dx dx
$$- x \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} - y{\left(x \right)} \sin{\left(x \right)} - \sin{\left(y{\left(x \right)} \right)} + \cos{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
-x*cos(y)*y' - y*sin(x) - sin(y) + cos(x)*y' = 0
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, 0.9053168599378598)
(-5.555555555555555, 1.242655971456604)
(-3.333333333333333, 1.6748491992290506)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 1.7373559329555976e-47)
(7.777777777777779, 8.388243567736643e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)