Using New Integral Transform "GALM Transform" to Solving Differential Equations

In this work, new integral transform is proposed, and this transform is applied to attain the exact solutions for the linear ordinary differential equations with constant coefficients. This integral transform which we called GALM transform was also applied in nuclear physics and some medical applications. The basic integral transforms like the Fourier transform and Laplace transform have been around for quite some time, new integral transforms are continually being developed to address specific problems or provide alternative perspectives on existing ones, new Integral transforms can be used in many fields, such as physics (including nuclear physics), engineering (where they can be used to solve some electrical circuit problems), medicine, pharmacokinetics, biotechnology, and finding answers to problems related to heart disease and cancer [Kurt 2013]. Elzaki, Aboodh, Mohanad, Kamal, Mahgoub and SEE transforms are good examples of new transforms for addressing differential equations, also GALM transform and a portion of its pivotal results are used helpfully to address differential equations. This new transform is gotten and obtained from indispensable Laplace transform and after demonstration of some other integral transforms . GALM transform was introduced by Gharib M. Gharib, Ahmad alsawaeer, Loiy kharabsheh and Maha Alsaoudi to utilize differential equations in the time area.