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The book has been written as per the syllabus of B.Tech./B.E. second year and second semester of all Engineering Colleges of Uttar Pradesh, Uttarakhand Technical University, Dehradun and other states of India. The book contains five units. The Chapters of each unit have been described in such a manner that the students will understand the concept easily. Salient Features: Subject matter is presented in a very systematic and logical manner. Every topic has been started with necessary introduction and developed gradually upto the standard form Exhaustive treatment of the subject Worked out examples to clarify concepts Problems for Practice included at the end of each chapter. Brief Contents: UNIT I: Ordinary Differential Equations—Ordinary Differential Equations, Linear Differential Equation with Constant Coefficient, Simultaneous Ordinary Differential Equation. UNIT II: Laplace Transformation—Laplace Transformation, Inverse Laplace Transform, Applications of Laplace Transform. UNIT III: Infinite Series—Sequences, Infinite Series. UNIT IV: Fourier Series and Introduction to Partial Differential Equations—Fourier Series, Partial Differential Equations. UNIT V: Application of Partial Differential Equations—Classification of Partial Differential Equations, Method of Separation of Variables for Solving Partial Differential Equations.