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Hi,
The definition (see attachment) says that f(x) is a solution to
the differential equation if it satisfies the equation for every x
in the interval.
Assuming that I have a differential equation that I want to
solve and the D.E. has an interval [itex]I_1[/itex], and I've
come up a solution with an interval [itex]I_2[/itex],
where [itex]I_2[/itex] is a subset of [itex]I_1[/itex], is it
still a solution to the differential equation? If it isn't, does the
solution still make sense?
I'm new to differential equations and haven't solved anything
DE yet.
The definition (see attachment) says that f(x) is a solution to
the differential equation if it satisfies the equation for every x
in the interval.
Assuming that I have a differential equation that I want to
solve and the D.E. has an interval [itex]I_1[/itex], and I've
come up a solution with an interval [itex]I_2[/itex],
where [itex]I_2[/itex] is a subset of [itex]I_1[/itex], is it
still a solution to the differential equation? If it isn't, does the
solution still make sense?
I'm new to differential equations and haven't solved anything
DE yet.
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