Sr Examen
Ecuación diferencial dx*(2*x*y^2+y+cos(x))+dy*(2^y*log(2)+2*x^2*y+x)=0
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Solución
Ha introducido
[src]
d 2 y(x) d 2 d x*--(y(x)) + 2*x*y (x) + 2 *--(y(x))*log(2) + 2*x *--(y(x))*y(x) + cos(x) + y(x) = 0 dx dx dx
$$2^{y{\left(x \right)}} \log{\left(2 \right)} \frac{d}{d x} y{\left(x \right)} + 2 x^{2} y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 2 x y^{2}{\left(x \right)} + x \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} + \cos{\left(x \right)} = 0$$
2^y*log(2)*y' + 2*x^2*y*y' + 2*x*y^2 + x*y' + y + cos(x) = 0
Respuesta
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y(x) 2 2 2 + x*y(x) + x *y (x) + sin(x) = C1
$$2^{y{\left(x \right)}} + x^{2} y^{2}{\left(x \right)} + x y{\left(x \right)} + \sin{\left(x \right)} = C_{1}$$
Clasificación
1st exact
1st power series
lie group
1st exact Integral