Sr Examen
Ecuación diferencial sinxy'-2(4(sinx)^2-y)cosx=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d / 2 \ --(y(x))*sin(x) - \-2*y(x) + 8*sin (x)/*cos(x) = 0 dx
$$- \left(- 2 y{\left(x \right)} + 8 \sin^{2}{\left(x \right)}\right) \cos{\left(x \right)} + \sin{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
-(-2*y + 8*sin(x)^2)*cos(x) + sin(x)*y' = 0
Respuesta
[src]
2 C1
y(x) = 2*sin (x) + -------
2
sin (x)
$$y{\left(x \right)} = \frac{C_{1}}{\sin^{2}{\left(x \right)}} + 2 \sin^{2}{\left(x \right)}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
1st linear
Bernoulli
almost linear
lie group
1st exact Integral
1st linear Integral
Bernoulli Integral
almost linear Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 826490967.303173)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 7.566503212566957e-67)
(7.777777777777779, 8.388243567719983e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)