Sr Examen
Ecuación diferencial (3x^2+4y^2)dx+(8xy+e^y)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
2 2 d y(x) d
3*x + 4*y (x) + --(y(x))*e + 8*x*--(y(x))*y(x) = 0
dx dx
$$3 x^{2} + 8 x y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 4 y^{2}{\left(x \right)} + e^{y{\left(x \right)}} \frac{d}{d x} y{\left(x \right)} = 0$$
3*x^2 + 8*x*y*y' + 4*y^2 + exp(y)*y' = 0
Respuesta
[src]
3 2 y(x) x + 4*x*y (x) + e = C1
$$x^{3} + 4 x y^{2}{\left(x \right)} + e^{y{\left(x \right)}} = C_{1}$$
Clasificación
1st exact
1st power series
lie group
1st exact Integral