Sr Examen
Ecuación diferencial 4xdx-3ydy=3x^2ydy-3xy^2dx
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d 2 2 d
4*x - 3*--(y(x))*y(x) = - 3*x*y (x) + 3*x *--(y(x))*y(x)
dx dx
$$4 x - 3 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 3 x^{2} y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - 3 x y^{2}{\left(x \right)}$$
4*x - 3*y*y' = 3*x^2*y*y' - 3*x*y^2
Respuesta
[src]
_________________
___ / 2
-\/ 3 *\/ -4 + C1 + C1*x
y(x) = ----------------------------
3
$$y{\left(x \right)} = - \frac{\sqrt{3} \sqrt{C_{1} x^{2} + C_{1} - 4}}{3}$$
_________________
___ / 2
\/ 3 *\/ -4 + C1 + C1*x
y(x) = --------------------------
3
$$y{\left(x \right)} = \frac{\sqrt{3} \sqrt{C_{1} x^{2} + C_{1} - 4}}{3}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
separable
1st exact
Bernoulli
1st power series
lie group
separable Integral
1st exact Integral
Bernoulli Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 1.4171519826259896e-09)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 6.971028255580836e+173)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 4.747181991682631e-37)
(7.777777777777779, 8.38824357181106e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)