Sr Examen
Ecuación diferencial (((x-y)dx)+((x+y)dy))/(x^2+y^2)=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
dx*x dy*x dy*y(x) dx*y(x)
---------------- + ---------------- + ---------------- - ---------------- = 0
2 2 2 2 2 2 2 2
dx*x + dx*y (x) dx*x + dx*y (x) dx*x + dx*y (x) dx*x + dx*y (x)
$$\frac{dx x}{dx x^{2} + dx y^{2}{\left(x \right)}} - \frac{dx y{\left(x \right)}}{dx x^{2} + dx y^{2}{\left(x \right)}} + \frac{dy x}{dx x^{2} + dx y^{2}{\left(x \right)}} + \frac{dy y{\left(x \right)}}{dx x^{2} + dx y^{2}{\left(x \right)}} = 0$$
dx*x/(dx*x^2 + dx*y^2) - dx*y/(dx*x^2 + dx*y^2) + dy*x/(dx*x^2 + dx*y^2) + dy*y/(dx*x^2 + dx*y^2) = 0
Respuesta
[src]
x*(dx + dy)
y(x) = -----------
dx - dy
$$y{\left(x \right)} = \frac{x \left(dx + dy\right)}{dx - dy}$$
Clasificación
nth algebraic
nth algebraic Integral