Sr Examen
Ecuación diferencial tan(x)*(4y^3-1)dx+y^2(1+x^2)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
2 d 3 2 2 d
-tan(x) + y (x)*--(y(x)) + 4*y (x)*tan(x) + x *y (x)*--(y(x)) = 0
dx dx
$$x^{2} y^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 4 y^{3}{\left(x \right)} \tan{\left(x \right)} + y^{2}{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - \tan{\left(x \right)} = 0$$
x^2*y^2*y' + 4*y^3*tan(x) + y^2*y' - tan(x) = 0
Gráfico para el problema de Cauchy
Clasificación
separable
1st exact
Bernoulli
almost linear
1st power series
lie group
separable Integral
1st exact Integral
Bernoulli Integral
almost linear Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.6299615467541909)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 9.59052908001256e-43)
(7.777777777777779, 8.388243567338486e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)