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Differential Equations by Hari Kishan

Differential Equations

by Hari Kishan
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₹245.00
₹350.00
₹350.00
₹350.00
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₹245.00
₹245.00

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Book cover type: Paperback
  • ISBN13: 9788126906208
  • Binding: Paperback
  • Subject: Mathematics and Statistics
  • Publisher: Atlantic Publishers & Distributors (P) Ltd
  • Publisher Imprint: Atlantic
  • Publication Date:
  • Pages: 224
  • Original Price: INR 350.0
  • Language: English
  • Edition: N/A
  • Item Weight: 100 grams

  • 1. Differential Equations of the First Order and the First Degree
  • Definitions
  • Arbitrary Constants
  • Equations of the First Order and First Degree
  • Equations in which the Variables are Separable
  • Homogeneous Function
  • A Test for Homogeneity of a Function of X and Y
  • Homogenous Equations
  • Equations Reducible to a Homogeneous Form
  • Linear Differential Equations
  • Equations Reducible to Linear Form
  • Exact Differential Equations
  • Condition That an Equation of First Order and First Degree be Exact
  • Solution of an Exact Differential Equation
  • Integrating Factor
  • Integrating Factor by Inspection
  • Rules for Finding Out Integrating Factors
  • Change of Variables
  • 2. Different Equations of the First Order, but Not of the First Degree
  • Types of Such Equations
  • Equations Solvable for p
  • Equations Solvable for Y
  • Equations Solvable for X
  • Clairaut’s Equation
  • 3. Singular Solutions and Orthogonal Trajectories
  • Singular Solution
  • Determination of Singular Solution
  • Particular Case
  • Trajectories
  • Orthogonal Trajectory
  • Differential Equation of Orthogonal Trajectories
  • 4. Linear Differential Equations with Constant Coefficients
  • Definition
  • Theorem 1
  • Theorem 2
  • Theorem 3
  • Complementary Function
  • The Symbol D
  • Auxiliary Equation having Equal Roots
  • Auxiliary Equation having Imaginary Roots
  • The Particular Integral
  • Shorter Methods of Finding Particular Integrals in Certain Special Cases
  • 5. Miscellaneous Differential Equations
  • Homogeneous Linear Equations
  • Equations Reducible to Homogeneous Linear Form
  • Simultaneous Linear Differential Equations with Constant Coefficients

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