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