Sr Examen
Ecuación diferencial (e^(x)siny+cosx*coshy)dx+(e^(x)cosy+sinx*sinhy)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
x d x d
cos(x)*cosh(y(x)) + e *sin(y(x)) + --(y(x))*cos(y(x))*e + --(y(x))*sin(x)*sinh(y(x)) = 0
dx dx
$$e^{x} \sin{\left(y{\left(x \right)} \right)} + e^{x} \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + \sin{\left(x \right)} \sinh{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + \cos{\left(x \right)} \cosh{\left(y{\left(x \right)} \right)} = 0$$
exp(x)*sin(y) + exp(x)*cos(y)*y' + sin(x)*sinh(y)*y' + cos(x)*cosh(y) = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
1st exact
1st power series
lie group
1st exact Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 28.42446581530969)
(-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, 1.1613466620965753e-46)
(7.777777777777779, 8.388243567336331e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)