Sr Examen
Ecuación diferencial 3x^2+y^2+(2xy+3cosy)y'=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
2 2 d
y (x) + 3*x + (3*cos(y(x)) + 2*x*y(x))*--(y(x)) = 0
dx
$$3 x^{2} + \left(2 x y{\left(x \right)} + 3 \cos{\left(y{\left(x \right)} \right)}\right) \frac{d}{d x} y{\left(x \right)} + y^{2}{\left(x \right)} = 0$$
3*x^2 + (2*x*y + 3*cos(y))*y' + y^2 = 0
Respuesta
[src]
3 2 x + 3*sin(y(x)) + x*y (x) = C1
$$x^{3} + x y^{2}{\left(x \right)} + 3 \sin{\left(y{\left(x \right)} \right)} = C_{1}$$
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, 8.299754421857545)
(-5.555555555555555, 12.231214839686547)
(-3.333333333333333, 17.002851506731147)
(-1.1111111111111107, 29.988583753592735)
(1.1111111111111107, 127.90978488220696)
(3.333333333333334, 4.7930675237345985e-37)
(5.555555555555557, 8.735934836677916e+189)
(7.777777777777779, 2.5718481162063698e+151)
(10.0, -3.127441380144104e-210)
(10.0, -3.127441380144104e-210)