International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3615 2020 2020 Department of Mathematics, College of Education for Pure Science, University of Babylon, Babil, Iraq Azal Azal Department of Mathematics, College of Education for Pure Science, University of Babylon, Babil, Iraq Huda A. Hadi Department of Mathematics, College of Education for Pure Science, University of Babylon, Babil, Iraq Sahar M. Jabbar The manuscript dealt with the problem of the initial value, especially in second-order differential equations with three degrees of Neutrosophic conditions, which are truth, falsity, and indeterminacy. In addition, we exploited the Kamal transformation to solve it. 2025 2025 55 63 10.54216/IJNS.260105 https://www.americaspg.com/articleinfo/21/show/3615