{'fraction_non_alphanumeric': 0.00834326579261025, 'fraction_numerical': 0.0, 'mean_word_length': 5.412213740458015, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations

An existing problem using integral technique to solve second order linear differential equations has been identified in this work. It is however; found that certain restrictions are placed hence making it impossible to use the existing criteria to solve problems for second order equations. A new set of oscillatory criteria is established to generalize all forms of solutions to second order linear ordinary differential equations using integral technique. It is also discovered that certain existing restrictions are removed. It is also found that the solutions to the second order ordinary differential equations are oscillatory under the new set of conditions. An example is constructed to test the applicability of the set conditions.