Sr Examen
Ecuación diferencial sin(x+y)dx+x*cos(x+y)(dx+dy)=0
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Solución
Ha introducido
[src]
d
x*cos(x + y(x)) + x*--(y(x))*cos(x + y(x)) + sin(x + y(x)) = 0
dx
$$x \cos{\left(x + y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + x \cos{\left(x + y{\left(x \right)} \right)} + \sin{\left(x + y{\left(x \right)} \right)} = 0$$
x*cos(x + y)*y' + x*cos(x + y) + sin(x + y) = 0
Respuesta
[src]
/C1\
y(x) = -x + asin|--|
\x /
$$y{\left(x \right)} = - x + \operatorname{asin}{\left(\frac{C_{1}}{x} \right)}$$
/C1\
y(x) = pi - x - asin|--|
\x /
$$y{\left(x \right)} = - x - \operatorname{asin}{\left(\frac{C_{1}}{x} \right)} + \pi$$
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, -1.421522235773164)
(-5.555555555555555, -3.5508708849677824)
(-3.333333333333333, -5.542637803502343)
(-1.1111111111111107, -6.115078917846923)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 6.397106897951207e+170)
(7.777777777777779, 8.38824356771694e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)