Sr Examen
Ecuación diferencial [siny+(1-y)cosx]dx+[(1+x)cosy-sinx]dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d d --(y(x))*cos(y(x)) - --(y(x))*sin(x) - cos(x)*y(x) + x*--(y(x))*cos(y(x)) + cos(x) + sin(y(x)) = 0 dx dx dx
$$x \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} - y{\left(x \right)} \cos{\left(x \right)} - \sin{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + \sin{\left(y{\left(x \right)} \right)} + \cos{\left(x \right)} + \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
x*cos(y)*y' - y*cos(x) - sin(x)*y' + sin(y) + cos(x) + cos(y)*y' = 0
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, 1.1291898643802427)
(-5.555555555555555, 1.4273792324879238)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 7.793670397367311e-43)
(7.777777777777779, 8.388243567355292e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)