Sr Examen
Ecuación diferencial sinydx+(xcosy-y)dy=0.29
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
d d 29 - --(y(x))*y(x) + x*--(y(x))*cos(y(x)) + sin(y(x)) = --- dx dx 100
$$x \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} - y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + \sin{\left(y{\left(x \right)} \right)} = \frac{29}{100}$$
x*cos(y)*y' - y*y' + sin(y) = 29/100
Respuesta
[src]
2
y (x) / 29 \
- ----- + x*|- --- + sin(y(x))| = C1
2 \ 100 /
$$x \left(\sin{\left(y{\left(x \right)} \right)} - \frac{29}{100}\right) - \frac{y^{2}{\left(x \right)}}{2} = C_{1}$$
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, 0.8922929138776287)
(-5.555555555555555, 1.1727068535902772)
(-3.333333333333333, 2.32001011508186)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 2.125757255287192e+160)
(7.777777777777779, 8.388243567737014e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)