{"product_id":"ordinary-and-partial-differential-equations-20th-edition","title":"Ordinary and Partial Differential Equations, 20th Edition","description":"\u003ch3\u003e\u003cspan class=\"a-text-bold\"\u003eOrdinary and Partial Differential Equations (20th Edition)\u003c\/span\u003e\u003c\/h3\u003e\n\u003cp\u003e\u003cspan class=\"a-text-bold\"\u003eBy Dr. M.D. Raisinghania\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThis well-acclaimed book, now in its \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003etwentieth edition\u003c\/span\u003e\u003cspan\u003e, continues to provide an \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003ein-depth exploration\u003c\/span\u003e\u003cspan\u003e of \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eordinary and partial differential equations\u003c\/span\u003e\u003cspan\u003e, offering \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003esystematic solution techniques\u003c\/span\u003e\u003cspan\u003e and step-by-step proofs to enhance problem-solving skills. Carefully selected \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003esolved examples\u003c\/span\u003e\u003cspan\u003e illustrate key concepts, making it an invaluable resource.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan class=\"a-text-bold\"\u003e📌 Designed for:\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e✔ \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eUndergraduate \u0026amp; Postgraduate\u003c\/span\u003e\u003cspan\u003e students of \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eMathematics \u0026amp; Physics\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e✔ \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eEngineering\u003c\/span\u003e\u003cspan\u003e students (all branches) \u0026amp; \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eAMIE\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e✔ Aspirants of \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eGATE, CSIR-UGC (NET), and other competitive exams\u003c\/span\u003e\u003c\/p\u003e\n\u003ch3\u003e\n\u003cspan\u003e✨ \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eKey Features:\u003c\/span\u003e\n\u003c\/h3\u003e\n\u003cp\u003e\u003cspan\u003e📖 \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eNew Chapter:\u003c\/span\u003e\u003cspan\u003e \u003c\/span\u003e\u003cspan class=\"a-text-italic\"\u003eMiscellaneous Methods and Existence \u0026amp; Uniqueness Theorem for First-Order Initial Value Problems\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e🔍 \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eIn-depth Coverage:\u003c\/span\u003e\u003cspan\u003e \u003c\/span\u003e\u003cspan class=\"a-text-italic\"\u003ePicard's Theorem \u0026amp; Iterative Method of Successive Approximations\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e📊 \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003eEssential Concepts:\u003c\/span\u003e\u003cspan\u003e \u003c\/span\u003e\u003cspan class=\"a-text-italic\"\u003eLipschitz Condition, Lipschitz Constant, Lipschitz Continuous Function, Gronwall Inequality\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e📝 \u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003ePractice-Oriented:\u003c\/span\u003e\u003cspan\u003e \u003c\/span\u003e\u003cspan class=\"a-text-italic\"\u003eExtensive exercises, including university exam questions and competitive exam problems (GATE, CSIR-UGC NET, etc.)\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan class=\"a-text-bold\"\u003ePART I: ELEMENTARY DIFFERENTIAL EQUATIONS\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e\u003cbr\u003e1. Differential Equations: Their Formation and Solutions\u003cbr\u003e2. Equations of First Order and First Degree\u003cbr\u003e3. Trajectories\u003cbr\u003e4. Equations of the First Order but Not of the First Degree and Singular Solutions and Extraneous Loci\u003cbr\u003e5. Linear Differential Equations with Constant Coefficients\u003cbr\u003e6. Homogeneous Linear Equations or Cauchy-Euler Equations\u003cbr\u003e7. Method of Variation of Parameters\u003cbr\u003e8. Ordinary Simultaneous Differential Equations\u003cbr\u003e9. Exact Differential Equations and Equations of Special Forms\u003cbr\u003e10. Linear Equations of Second Order\u003cbr\u003e11. Applications of Differential Equations\u003cbr\u003e12. Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems\u003cbr\u003e\u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003ePART II: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS, FOURIER SERIES AND SPECIAL FUNCTIONS\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e\u003cbr\u003e1. Picard's Iterative Method, Picard's Theorem and Existence and Uniqueness of Solutions to First Order Initial Value Problems\u003cbr\u003e2. Simultaneous Equations of the Form (dx)\/P =(dy)\/Q =(dz)\/R\u003cbr\u003e3. Total (or Pfaffian) Differential Equations\u003cbr\u003e4. Beta and Gamma Functions\u003cbr\u003e5. Chebyshev Polynomials\u003cbr\u003e6. Fourier Series\u003cbr\u003e7. Power Series\u003cbr\u003e8. Integration in Series\u003cbr\u003e9. Legendre Polynomials\u003cbr\u003e10. Legendre Functions of the Second Kind—Qn(x)\u003cbr\u003e11. Bessel Functions\u003cbr\u003e12. Orthogonal Sets of Functions and Strum Liouville Problem\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003cspan class=\"a-text-bold\"\u003ePART III: PARTIAL DIFFERENTIAL EQUATIONS\u003c\/span\u003e\u003cspan\u003e\u003cbr\u003e1. Origin of Partial Differential Equations\u003cbr\u003e2. Linear Partial Differential Equations of Order One\u003cbr\u003e3. Non-linear Partial Differential Equations of Order One\u003cbr\u003e4. Homogeneous Linear Partial Differential Equations with Constant Coefficients\u003cbr\u003e5. Non-homogeneous Linear Partial Differential Equations with Constant Coefficients\u003cbr\u003e6. Partial Differential Equations Reducible to Equations with Constant Coefficients\u003cbr\u003e7. Partial Differential Equations of Order Two with Variable Coefficients\u003cbr\u003e8. Classification of P.D.E. Reduction to Canonical or Normal Forms Riemann Method\u003cbr\u003e9. Monge's Methods\u003cbr\u003e10. Transport Equation\u003cbr\u003e11. Cauchy Initial Value Problem for Linear First Order Partial Differential Equations\u003cbr\u003eMiscellaneous problems based on Part III of the book\u003c\/span\u003e\u003c\/p\u003e","brand":"The unique bazar","offers":[{"title":"Default Title","offer_id":51203294134589,"sku":"OCT2025-1387","price":450.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0974\/4485\/6125\/files\/Screenshot_20251227_021147_Amazon.jpg?v=1766903482","url":"https:\/\/theuniquebazar.in\/products\/ordinary-and-partial-differential-equations-20th-edition","provider":"The unique bazar","version":"1.0","type":"link"}