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Ecuación diferencial dx*(x^2*y^4+1)*y+2*dy*x=0
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Solución
Ha introducido
[src]
2 5 d
x *y (x) + 2*x*--(y(x)) + y(x) = 0
dx
$$x^{2} y^{5}{\left(x \right)} + 2 x \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} = 0$$
x^2*y^5 + 2*x*y' + y = 0
Respuesta
[src]
____________________
/ 1
y(x) = -I* / ------------------
4 / 2
\/ x *(C1 + 2*log(x))
$$y{\left(x \right)} = - i \sqrt[4]{\frac{1}{x^{2} \left(C_{1} + 2 \log{\left(x \right)}\right)}}$$
____________________
/ 1
y(x) = I* / ------------------
4 / 2
\/ x *(C1 + 2*log(x))
$$y{\left(x \right)} = i \sqrt[4]{\frac{1}{x^{2} \left(C_{1} + 2 \log{\left(x \right)}\right)}}$$
____________________
/ 1
y(x) = - / ------------------
4 / 2
\/ x *(C1 + 2*log(x))
$$y{\left(x \right)} = - \sqrt[4]{\frac{1}{x^{2} \left(C_{1} + 2 \log{\left(x \right)}\right)}}$$
____________________
/ 1
y(x) = / ------------------
4 / 2
\/ x *(C1 + 2*log(x))
$$y{\left(x \right)} = \sqrt[4]{\frac{1}{x^{2} \left(C_{1} + 2 \log{\left(x \right)}\right)}}$$
Clasificación
separable reduced
lie group
separable reduced Integral