Sr Examen
Ecuación diferencial 2x²y(d²y/dx²)+4y²=x²(dy/dx)²+2xy(dy/dx)
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Solución
Ha introducido
[src]
2 2 2 2 2
4*y (x) 2*d *x *y (x) 2 d d
------- + ------------- = x *---(y(x)) + 2*x*--(y(x))*y(x)
dx 3 2 dx
dx dx
$$\frac{2 d^{2} x^{2} y^{2}{\left(x \right)}}{dx^{3}} + \frac{4 y^{2}{\left(x \right)}}{dx} = x^{2} \frac{d^{2}}{d x^{2}} y{\left(x \right)} + 2 x y{\left(x \right)} \frac{d}{d x} y{\left(x \right)}$$
2*d^2*x^2*y^2/dx^3 + 4*y^2/dx = x^2*y'' + 2*x*y*y'