Sr Examen
Ecuación diferencial sqrt(1+4y^2dx)+(5y-4ysen(x)+3ycos(x))dy=0
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Solución
Ha introducido
[src]
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\/ 1 + 4*dx*y (x) d d d
------------------- + 5*--(y(x))*y(x) - 4*--(y(x))*sin(x)*y(x) + 3*--(y(x))*cos(x)*y(x) = 0
dx dx dx dx
$$- 4 y{\left(x \right)} \sin{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 3 y{\left(x \right)} \cos{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + 5 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} + \frac{\sqrt{4 dx y^{2}{\left(x \right)} + 1}}{dx} = 0$$
-4*y*sin(x)*y' + 3*y*cos(x)*y' + 5*y*y' + sqrt(4*dx*y^2 + 1)/dx = 0
Clasificación
separable
1st power series
lie group
separable Integral