Sr Examen
Ecuación diferencial yy+2xy+3yy'=0
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Solución
Ha introducido
[src]
2 d
y (x) + 2*x*y(x) + 3*--(y(x))*y(x) = 0
dx
$$2 x y{\left(x \right)} + y^{2}{\left(x \right)} + 3 y{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = 0$$
2*x*y + y^2 + 3*y*y' = 0
Respuesta
[src]
y(x) = 0
$$y{\left(x \right)} = 0$$
/ x\ -x
| -| ---
| 3| 3
y(x) = \C1 + 2*(3 - x)*e /*e
$$y{\left(x \right)} = \left(C_{1} + 2 \left(3 - x\right) e^{\frac{x}{3}}\right) e^{- \frac{x}{3}}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
1st linear
1st power series
lie group
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
1st linear Integral
nth linear constant coeff variation of parameters Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 9.517349717066988)
(-5.555555555555555, 11.371768510480427)
(-3.333333333333333, 9.930374017653326)
(-1.1111111111111107, 6.9176655859833485)
(1.1111111111111107, 3.1558165032924657)
(3.333333333333334, -0.9631933294808308)
(5.555555555555557, -5.252483360785364)
(7.777777777777779, -9.622956283330526)
(10.0, -14.032134022582866)
(10.0, -14.032134022582866)