An exact differential equation is a first-order differential equation of the form M(x, y)dx + N(x, y)dy = 0, which can be derived from a function F(x, y) such that its total differential is equal to the equation’s left-hand side. This chapter introduces the fundamental techniques for identifying and solving exact differential equations.

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The Exact Differential Equations

  • Farzin Asadi

摘要

An exact differential equation is a first-order differential equation of the form M(x, y)dx + N(x, y)dy = 0, which can be derived from a function F(x, y) such that its total differential is equal to the equation’s left-hand side. This chapter introduces the fundamental techniques for identifying and solving exact differential equations.