Sr Examen
Ecuación diferencial sin(x)cos(y)dx+cos(x)sin(y)dy
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d
cos(y(x))*sin(x) + --(y(x))*cos(x)*sin(y(x)) = 0
dx
$$\sin{\left(x \right)} \cos{\left(y{\left(x \right)} \right)} + \sin{\left(y{\left(x \right)} \right)} \cos{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
sin(x)*cos(y) + sin(y)*cos(x)*y' = 0
Respuesta
[src]
/ C1 \
y(x) = - acos|------| + 2*pi
\cos(x)/
$$y{\left(x \right)} = - \operatorname{acos}{\left(\frac{C_{1}}{\cos{\left(x \right)}} \right)} + 2 \pi$$
/ C1 \
y(x) = acos|------|
\cos(x)/
$$y{\left(x \right)} = \operatorname{acos}{\left(\frac{C_{1}}{\cos{\left(x \right)}} \right)}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
separable
1st exact
almost linear
1st power series
lie group
separable Integral
1st exact Integral
almost linear Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, -2.0239097661930637e-09)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 6.971028255580836e+173)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 2.5910489201161894e+184)
(7.777777777777779, 8.388243567716939e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)