Sr Examen
Ecuación diferencial 4*dx*x-3*dy*y=-2*dx*x*y^2+3*dy*x^2*y
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Solución
Ha introducido
[src]
d 2 2 d
4*x - 3*--(y(x))*y(x) = - 2*x*y (x) + 3*x *--(y(x))*y(x)
dx dx
$$4 x - 3 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 3 x^{2} y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} - 2 x y^{2}{\left(x \right)}$$
4*x - 3*y*y' = 3*x^2*y*y' - 2*x*y^2
Respuesta
[src]
_____________________
/ 2/3
/ / 2\
y(x) = -\/ -2 + C1*\1 + x /
$$y{\left(x \right)} = - \sqrt{C_{1} \left(x^{2} + 1\right)^{\frac{2}{3}} - 2}$$
_____________________
/ 2/3
/ / 2\
y(x) = \/ -2 + C1*\1 + x /
$$y{\left(x \right)} = \sqrt{C_{1} \left(x^{2} + 1\right)^{\frac{2}{3}} - 2}$$
Clasificación
factorable
separable
1st exact
Bernoulli
1st power series
lie group
separable Integral
1st exact Integral
Bernoulli Integral