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Categorized List of Equations

The database contains 327 equations (15 equations are awaiting activation).

• 1. Ordinary Differential Equations (11 equations)
• 1.1. First-Order Equations (0 equations)
• 1.2. Second-Order Linear Equations (3 equations)
• 1.3. Second-Order Nonlinear Equations (3 equations)
• 1.4. Higher-Order Linear Equations (1 equations)
• 1.5. Higher-Order Nonlinear Equations (1 equations)
• 1.6. Systems of Two Nonlinear Equations (2 equations)
• 1.7. Nonlinear Systems of Three and More Equations (1 equations)
• 2. First-Order Partial Differential Equations (4 equations)
• 2.1. Linear Equations (3 equations)
• 2.2. Quasilinear Equations (0 equations)
• 2.3. Nonlinear Equations (1 equations)
• 3. Linear Partial Differential Equations (59 equations)
• 3.1. Second-Order Parabolic Equations (12 equations)
• 3.2. Second-Order Hyperbolic Equations (13 equations)
• 3.3. Second-Order Elliptic Equations (7 equations)
• 3.4. Other Second-Order Equations (2 equations)
• 3.5. Higher-Order Equations (24 equations)
• 3.6. Systems of Equations (1 equations)
• 4. Nonlinear Partial Differential Equations (218 equations)
• 4.1. Second-Order Quasilinear Parabolic Equations (17 equations)
• 4.2. Second-Order Quasilinear Hyperbolic Equations (41 equations)
• 4.3. Second-Order Quasilinear Elliptic Equations (0 equations)
• 4.4. Other Second-Order Equations (106 equations)
• 4.5. Third-Order Equations (21 equations)
• 4.6. Higher-Order Equations (5 equations)
• 4.7. Systems of Two Equations (27 equations)
• 4.8. Systems of Three and More Equations (1 equations)
• 5. Integral Equations (23 equations)
• 5.1. Linear Equations of the First Kind with Variable Limit of Integration (4 equations)
• 5.2. Linear Equations of the Second Kind with Variable Limit of Integration (1 equations)
• 5.3. Linear Equations of the First Kind with Constant Limits of Integration (5 equations)
• 5.4. Linear Equations of the Second Kind with Constant Limits of Integration (4 equations)
• 5.5. Nonlinear Equations with Variable Limit of Integration (1 equations)
• 5.6. Nonlinear Equations with Constant Limits of Integration (8 equations)
• 6. Difference and Functional Equations (12 equations)
• 6.1. Linear Equations in One Independent Variable (2 equations)
• 6.2. Nonlinear Equations in One Independent Variable (1 equations)
• 6.3. Linear Equations in Two and More Independent Variables (9 equations)
• 6.4. Nonlinear Equations in Two and More Independent Variables (0 equations)

The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

Copyright © 2006-2011 Andrei D. Polyanin, Alexei I. Zhurov and Alexander L. Levitin