Sr Examen
Ecuación diferencial xydy=x^2+2y^2dx
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Solución
Ha introducido
[src]
2 d 2 x x*--(y(x))*y(x) = 2*y (x) + -- dx dx
$$x y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 2 y^{2}{\left(x \right)} + \frac{x^{2}}{dx}$$
x*y*y' = 2*y^2 + x^2/dx
Respuesta
[src]
______________
/ 1 2
y(x) = -x* / - -- + C1*x
\/ dx
$$y{\left(x \right)} = - x \sqrt{C_{1} x^{2} - \frac{1}{dx}}$$
______________
/ 1 2
y(x) = x* / - -- + C1*x
\/ dx
$$y{\left(x \right)} = x \sqrt{C_{1} x^{2} - \frac{1}{dx}}$$
Clasificación
1st exact
Bernoulli
1st homogeneous coeff best
1st homogeneous coeff subs indep div dep
1st homogeneous coeff subs dep div indep
almost linear
lie group
1st exact Integral
Bernoulli Integral
1st homogeneous coeff subs indep div dep Integral
1st homogeneous coeff subs dep div indep Integral
almost linear Integral