MAT282 * Differential Equations

Section 2.3 – Existence & Uniqueness
Typical IVP
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

IVP: y '  f ( x, y); y (a)  b
One equation, and one IC
We can guarantee a unique solution to this under
some simple constraints
a) f ( x, y ) continuous on an interval
f
b)
continuous on the same region
y
Then there is only one solution for each IC
Examples (from HW)
Another example