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Intervals which extend indefinitely in both the directions are known as unbounded intervals. These are written with the aid of symbols +∞ and - ∞ . The various types of intervals, if "a" happens to be a real number, are:
(a, + ∞ is the set of all real numbers x such that a < x. (- ∞ a) is the set of all real numbers x such that x < a. [a, + ∞ is the set of all real numbers x such that a ≤ x. (- ∞ , a] is the set of all real numbers x such that x ≤ a.
(a, + ∞ is the set of all real numbers x such that a < x.
(- ∞ a) is the set of all real numbers x such that x < a.
[a, + ∞ is the set of all real numbers x such that a ≤ x.
(- ∞ , a] is the set of all real numbers x such that x ≤ a.
In this theorem we identify that for a specified differential equation a set of fundamental solutions will exist. Consider the differential equation y′′ + p (t ) y′ + q (t
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The interval of validity for an IVP along with initial conditions: y(t 0 ) = y 0 or/and y (k) (t 0 ) = y k There is the largest possible interval on that the solution is va
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