- #1

- 7

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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

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**xin 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.