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2014•Applied Mechanics and MaterialsRequires access

A few Kinds of Riccati Equation Integrable Conditions and Variable Separation Method

Zhi Hong Yin

Open publisher page 2 citations

Abstract

Summarizes several types of the Riccati equation can be used in the form of elementary integral form and its general solution. The Riccati equation through the appropriate variable substitution can be variable separable equation, to calculate the general solution to use the method of elementary integrals. Some of these methods need certain skills. With a typical example this paper introduces the basic techniques of variable substitution.

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What this paper is about

Summarizes several types of the Riccati equation can be used in the form of elementary integral form and its general solution. The Riccati equation through the appropriate variable substitution can be variable separable equation, to calculate the general solution to use the method of elementary integrals. Some of these methods need certain skills. With a typical example this paper introduces the basic techniques of variable substitution.

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Available abstract

Summarizes several types of the Riccati equation can be used in the form of elementary integral form and its general solution. The Riccati equation through the appropriate variable substitution can be variable separable equation, to calculate the general solution to use the method of elementary integrals. Some of these methods need certain skills. With a typical example this paper introduces the basic techniques of variable substitution.

Key concepts: Riccati equation, Variable (mathematics), Mathematics, Integrable system, Algebraic Riccati equation, Substitution (logic), Separable space, Applied mathematics

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