Sr Examen
Ecuación diferencial ((3y^2)+2x+y)dx+(6xy+x-3)=0
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Solución
Ha introducido
[src]
3 2 x 6*x*y(x) - -- + 2*x + 3*y (x) + -- + -------- + y(x) = 0 dx dx dx
$$2 x + 3 y^{2}{\left(x \right)} + y{\left(x \right)} + \frac{6 x y{\left(x \right)}}{dx} + \frac{x}{dx} - \frac{3}{dx} = 0$$
2*x + 3*y^2 + y + 6*x*y/dx + x/dx - 3/dx = 0
Respuesta
[src]
/ ________________________________ \
| / 2 2 2 |
-\dx + \/ dx + 36*dx + 36*x - 24*x*dx + 6*x/
y(x) = --------------------------------------------------
6*dx
$$y{\left(x \right)} = - \frac{dx + 6 x + \sqrt{- 24 dx^{2} x + dx^{2} + 36 dx + 36 x^{2}}}{6 dx}$$
________________________________
/ 2 2 2
\/ dx + 36*dx + 36*x - 24*x*dx - dx - 6*x
y(x) = ----------------------------------------------
6*dx
$$y{\left(x \right)} = \frac{- dx - 6 x + \sqrt{- 24 dx^{2} x + dx^{2} + 36 dx + 36 x^{2}}}{6 dx}$$
Clasificación
nth algebraic
nth algebraic Integral