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