Sr Examen
Ecuación diferencial (ylny+ye^x)dx+(x+ycosy)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d x d x*--(y(x)) + e *y(x) + log(y(x))*y(x) + --(y(x))*cos(y(x))*y(x) = 0 dx dx
$$x \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} e^{x} + y{\left(x \right)} \log{\left(y{\left(x \right)} \right)} + y{\left(x \right)} \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
x*y' + y*exp(x) + y*log(y) + y*cos(y)*y' = 0
Respuesta
[src]
x x*log(y(x)) + e + sin(y(x)) = C1
$$x \log{\left(y{\left(x \right)} \right)} + e^{x} + \sin{\left(y{\left(x \right)} \right)} = C_{1}$$
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, 0.6866280126811518)
(-5.555555555555555, 0.5822519580573102)
(-3.333333333333333, 0.3894825460216828)
(-1.1111111111111107, 0.05757957630461426)
(1.1111111111111107, nan)
(3.333333333333334, nan)
(5.555555555555557, nan)
(7.777777777777779, nan)
(10.0, nan)
(10.0, nan)