The article "Applications of Mohand Transform" by Nihal ÖZDOĞAN from Bursa Technical University, Faculty of Science and Engineering, Department of Mathematics, discusses the application of the Mohand transform in solving linear ordinary differential equations with constant coefficients. The Mohand transform is introduced as an alternative method to existing transforms like the Laplace and Kushare transforms, known for its ease of application. - **Definition**: The Mohand transform is defined for functions of exponential order, converting them into another function through an integral operation. - **Properties**: The article covers the linearity, scalar variation, scrolling, convolution theorem, and transforms of derivatives and integrals of functions. - ** Elementary Functions**: Examples of the Mohand transform and its inverse for basic functions such as 1, \( t^n \), \( e^{at} \), \( \sin at \), \( \cos at \), \( \sin hat \), and \( \cos hat \) are provided. - **Applications**: The article demonstrates how the Mohand transform can be applied to solve first and second-order ordinary differential equations with initial conditions. Examples include solving equations like \( y' + 27y = \cos 9t \), \( y'' + y = 0 \), \( y' + 13y = e^{11t} \), and \( y'' - 3y' + 2y = 0 \). The Mohand transform is presented as a straightforward and understandable method for solving linear ordinary differential equations. The examples show that the method requires minimal mathematical calculations and can be applied similarly to other integral transforms. The article concludes by noting that while the Mohand transform is a promising approach, further research is needed to compare it with other transforms like the Laplace transform. The authors acknowledge the referees for their constructive comments and recommendations, which significantly improved the readability and quality of the paper.The article "Applications of Mohand Transform" by Nihal ÖZDOĞAN from Bursa Technical University, Faculty of Science and Engineering, Department of Mathematics, discusses the application of the Mohand transform in solving linear ordinary differential equations with constant coefficients. The Mohand transform is introduced as an alternative method to existing transforms like the Laplace and Kushare transforms, known for its ease of application. - **Definition**: The Mohand transform is defined for functions of exponential order, converting them into another function through an integral operation. - **Properties**: The article covers the linearity, scalar variation, scrolling, convolution theorem, and transforms of derivatives and integrals of functions. - ** Elementary Functions**: Examples of the Mohand transform and its inverse for basic functions such as 1, \( t^n \), \( e^{at} \), \( \sin at \), \( \cos at \), \( \sin hat \), and \( \cos hat \) are provided. - **Applications**: The article demonstrates how the Mohand transform can be applied to solve first and second-order ordinary differential equations with initial conditions. Examples include solving equations like \( y' + 27y = \cos 9t \), \( y'' + y = 0 \), \( y' + 13y = e^{11t} \), and \( y'' - 3y' + 2y = 0 \). The Mohand transform is presented as a straightforward and understandable method for solving linear ordinary differential equations. The examples show that the method requires minimal mathematical calculations and can be applied similarly to other integral transforms. The article concludes by noting that while the Mohand transform is a promising approach, further research is needed to compare it with other transforms like the Laplace transform. The authors acknowledge the referees for their constructive comments and recommendations, which significantly improved the readability and quality of the paper.