Sr Examen
Ecuación diferencial ((y+sinxcos^2xy)/cos^2xy)dx+((x/cos^2xy)+siny)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d
x*--(y(x))
y(x) d dx
------------ + --(y(x))*sin(y(x)) + ------------ + sin(x) = 0
2 dx 2
cos (x*y(x)) cos (x*y(x))
$$\frac{x \frac{d}{d x} y{\left(x \right)}}{\cos^{2}{\left(x y{\left(x \right)} \right)}} + \frac{y{\left(x \right)}}{\cos^{2}{\left(x y{\left(x \right)} \right)}} + \sin{\left(x \right)} + \sin{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
x*y'/cos(x*y)^2 + y/cos(x*y)^2 + sin(x) + sin(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, 0.9485965495112929)
(-5.555555555555555, 1.3130142139014016)
(-3.333333333333333, 2.2866554876269083)
(-1.1111111111111107, 6.430492067868276)
(1.1111111111111107, 19.56012643048853)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 7.24362486523839e-42)
(7.777777777777779, 8.388243567354919e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)