UP
Handbook of exact solutions for ordinary differential equations. By Polyanin and Zaitsev. Second edition
Nasser M. Abbasi
January 4, 2023
Compiled on January 4, 2023 at 6:03pm
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Chapter 1, First-Order differential equations
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Chapter 1, section 1.2. Riccati Equation. 1.2.2. Equations Containing Power Functions
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.3. Equations Containing Exponential Functions
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.3-2. Equations with power and exponential functions
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.4-1. Equations with hyperbolic sine and cosine
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.4-2. Equations with hyperbolic tangent and cotangent.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.5-1. Equations Containing Logarithmic Functions
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.5-2
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.6-1. Equations with sine
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.6-2. Equations with cosine.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.6-3. Equations with tangent.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.6-4. Equations with cotangent.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.6-5. Equations containing combinations of trigonometric functions.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.7-1. Equations containing arcsine.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.7-2. Equations containing arccosine.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.7-3. Equations containing arctangent.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.7-4. Equations containing arccotangent.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.7-3. Equations containing arctangent.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.8-1. Equations containing arbitrary functions (but not containing their derivatives).
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.8-2. Equations containing arbitrary functions and their derivatives.
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Chapter 1, section 1.2. Riccati Equation. subsection 1.2.9. Some Transformations
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Chapter 1, section 1.3. Abel Equations of the Second Kind. Form \(y y'-y=f(x)\). subsection 1.3.1-2. Solvable equations and their solutions
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Chapter 1, section 1.3. Abel Equations of the Second Kind. subsection 1.3.2. Equations of the form \(y y'=f(x) y+1\)
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Chapter 1, section 1.3. Abel Equations of the Second Kind. subsection 1.3.3-2. Equations of the form \(y y'=f_1(x) y+f_0(x)\)
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Chapter 1, section 1.3. Abel Equations of the Second Kind. subsection 1.3.4-2. Equations of the form \((g_1(x)+g_0(x))y'=f_2(x) y^2+f_1(x) y+f_0(x)\)
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Chapter 2, Second-Order Differential Equations. section 2.1.2 Equations Containing Power Functions. page 213
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Chapter 2, Second-Order Differential Equations. section 2.1.2-1 Equation of form \(y''+f(x)y'+g(x)y=0\)