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An homogeneous differential equation.

Consider the differential equation

y'' + a(x) y' + b(x)y=0 (4.1)

where a and b are two functions of the variable x defined on the same interval J. Denote by $\mathcal{S}$ the set of all the solutions of Eq.  5.

If $y_1,y_2 \in \mathcal{S}$, then:

Noah Dana-Picard