Ecuación diferencial y'(sin(x))-y=sinx*sin(x/2)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Ha introducido [src]

        d                           /x\
-y(x) + --(y(x))*sin(x) = sin(x)*sin|-|
        dx                          \2/

$$- y{\left(x \right)} + \sin{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = \sin{\left(\frac{x}{2} \right)} \sin{\left(x \right)}$$

-y + sin(x)*y' = sin(x/2)*sin(x)

Gráfico para el problema de Cauchy

Clasificación

1st exact

1st linear

Bernoulli

almost linear

lie group

1st exact Integral

1st linear Integral

Bernoulli Integral

almost linear Integral

Respuesta numérica [src]

(x, y):

(-10.0, 0.75)

(-7.777777777777778, 898837211.0388628)

(-5.555555555555555, 2.17e-322)

(-3.333333333333333, nan)

(-1.1111111111111107, 2.78363573e-315)

(1.1111111111111107, 8.427456047434801e+197)

(3.333333333333334, 3.1933833808213433e-248)

(5.555555555555557, 2.6509947707452356e-52)

(7.777777777777779, 8.388243571827865e+296)

(10.0, 3.861029683e-315)

(10.0, 3.861029683e-315)