Sr Examen
Ecuación diferencial (y+1)dx+(4x-y)dy=0
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Solución
Ha introducido
[src]
d d
1 - --(y(x))*y(x) + 4*x*--(y(x)) + y(x) = 0
dx dx
$$4 x \frac{d}{d x} y{\left(x \right)} - y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + y{\left(x \right)} + 1 = 0$$
4*x*y' - y*y' + y + 1 = 0
Respuesta
[src]
4 2 5
3 3*y (x) y (x) y (x) 4
- y (x) - ------- - ----- - ----- + x*(1 + y(x)) = C1
4 2 5
$$x \left(y{\left(x \right)} + 1\right)^{4} - \frac{y^{5}{\left(x \right)}}{5} - \frac{3 y^{4}{\left(x \right)}}{4} - y^{3}{\left(x \right)} - \frac{y^{2}{\left(x \right)}}{2} = C_{1}$$
Clasificación
1st exact
linear coefficients
1st power series
lie group
1st exact Integral
linear coefficients Integral