Sr Examen
Ecuación diferencial xtgydx=(x^2)-2dy
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
2
d x
x*tan(y(x)) = - 2*--(y(x)) + --
dx dx
$$x \tan{\left(y{\left(x \right)} \right)} = - 2 \frac{d}{d x} y{\left(x \right)} + \frac{x^{2}}{dx}$$
x*tan(y) = -2*y' + x^2/dx
Respuesta
[src]
2 3 4 / 2 \ 5 / 2 \
x *tan(C1) x x *\-1 - tan (C1)/*tan(C1) x *\-1 - tan (C1)/ / 6\
y(x) = C1 - ---------- + ---- - -------------------------- + ------------------ + O\x /
4 6*dx 32 60*dx
$$y{\left(x \right)} = \frac{x^{3}}{6 dx} + \frac{x^{5} \left(- \tan^{2}{\left(C_{1} \right)} - 1\right)}{60 dx} - \frac{x^{2} \tan{\left(C_{1} \right)}}{4} - \frac{x^{4} \left(- \tan^{2}{\left(C_{1} \right)} - 1\right) \tan{\left(C_{1} \right)}}{32} + C_{1} + O\left(x^{6}\right)$$
Clasificación
1st power series
lie group