Ecuación diferencial ydx+(2*sqrt(x*y)-x)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ ________ \
| / -C1 |
|-\/ x*e |
C1 + 2*W|-------------|
\ 2 /
y(x) = e
$$y{\left(x \right)} = e^{C_{1} + 2 W\left(- \frac{\sqrt{x e^{- C_{1}}}}{2}\right)}$$
/ ________\
| / -C1 |
|\/ x*e |
C1 + 2*W|-----------|
\ 2 /
y(x) = e
$$y{\left(x \right)} = e^{C_{1} + 2 W\left(\frac{\sqrt{x e^{- C_{1}}}}{2}\right)}$$
Clasificación
factorable
1st homogeneous coeff best
1st homogeneous coeff subs indep div dep
1st homogeneous coeff subs dep div indep
lie group
1st homogeneous coeff subs indep div dep Integral
1st homogeneous coeff subs dep div indep Integral