Sr Examen
Ecuación diferencial (4(x^3)y-15x^2-y)dx+(x^4+3y^2-x)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
4 2 d 2 d 3 d
x (y) - x(y) + 3*y - y*--(x(y)) - 15*x (y)*--(x(y)) + 4*y*x (y)*--(x(y)) = 0
dy dy dy
$$3 y^{2} + 4 y x^{3}{\left(y \right)} \frac{d}{d y} x{\left(y \right)} - y \frac{d}{d y} x{\left(y \right)} + x^{4}{\left(y \right)} - 15 x^{2}{\left(y \right)} \frac{d}{d y} x{\left(y \right)} - x{\left(y \right)} = 0$$
3*y^2 + 4*y*x^3*x' - y*x' + x^4 - 15*x^2*x' - x = 0
Gráfico para el problema de Cauchy
Clasificación
1st exact
1st power series
lie group
1st exact Integral
Respuesta numérica
[src]
(y, x):
(-10.0, 0.75)
(-7.777777777777778, 2.7497985515145396)
(-5.555555555555555, 3.3063701136379335)
(-3.333333333333333, 3.8042247372944056)
(-1.1111111111111107, 4.6230037256908085)
(1.1111111111111107, 9.267772527560995)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 1.693402848906264e-52)
(7.777777777777779, 8.388243571809214e+296)
(10.0, 9.036991477623112e-277)
(10.0, 9.036991477623112e-277)