Sr Examen
Ecuación diferencial (e^(2y)-ycosxy)dx+(2xe^(2y)-xcosxy+2y)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
2 d d 2*y(x) d 2*y(x)
- y (x)*cos(x) + 2*--(y(x))*y(x) + 2*x*--(y(x))*e - x*--(y(x))*cos(x)*y(x) + e = 0
dx dx dx
$$- x y{\left(x \right)} \cos{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 2 x e^{2 y{\left(x \right)}} \frac{d}{d x} y{\left(x \right)} - y^{2}{\left(x \right)} \cos{\left(x \right)} + 2 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + e^{2 y{\left(x \right)}} = 0$$
-x*y*cos(x)*y' + 2*x*exp(2*y)*y' - y^2*cos(x) + 2*y*y' + exp(2*y) = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
1st power series
lie group
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.881736422866934)
(-5.555555555555555, 1.0446284167028808)
(-3.333333333333333, 1.312425171509715)
(-1.1111111111111107, 1.8949463758432976)
(1.1111111111111107, 26.662648195764795)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 6.446773053330691e-67)
(7.777777777777779, 8.388243566956022e+296)
(10.0, 3.4850068345956685e-196)
(10.0, 3.4850068345956685e-196)