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 2 d d d 2
e *y(x) - y (x)*cos(x) + 2*--(y(x))*y(x) - x*--(y(x))*cos(x)*y(x) + 2*x*--(y(x))*e *y(x) = 0
dx dx dx
$$- x y{\left(x \right)} \cos{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 2 x y{\left(x \right)} e^{2} \frac{d}{d x} y{\left(x \right)} - y^{2}{\left(x \right)} \cos{\left(x \right)} + 2 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} e^{2} = 0$$
-x*y*cos(x)*y' + 2*x*y*exp(2)*y' - y^2*cos(x) + 2*y*y' + y*exp(2) = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
1st linear
Bernoulli
1st power series
lie group
1st linear Integral
Bernoulli Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.8808189421301952)
(-5.555555555555555, 1.043803476387161)
(-3.333333333333333, 1.315359448928512)
(-1.1111111111111107, 1.9296410922407041)
(1.1111111111111107, 6.927260255144098)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 2.5910489201161894e+184)
(7.777777777777779, 8.388243567719172e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)