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Contents
Contents
Index
Introduction to Differential Equations
Hisashi Yokota
Exercises in Introduction to Differential Equations
Contents
1st Order Differential Equations
Differential Equations
Exercise
Separation of variables
Exercise
Homogeneous Differential Equations
Exercise
Exact differential equations
Exercise
Integrating Factor
Exercise
Linear Differential Equations
Exercise
Bernoulli, Riccati Equation
Exercise
Clairaut' equation
Exercise
Numerical Solutions
Exercise
Linear Differential Equations
Solution of linear differential equations
Exercise
Reduction of order
Exercise
Higher order homogeneous linear differential equations
Exercise
Method of undetermined coefficients
Exercise
Variation of parameters
Exercise
Cauchy-Euler Equation
Exercise
Differential Operator
Systems of differential equations
Systems of linear differential equations
Exercise
Multiple roots and Complex roots
Exercise
Nonhomogeneous differential equations
Exercise
Power series solution of differential equations
Analytic functions
Exercise
Power series solution (Ordinary point)
Exercise
Frobenius Method (Regular singular point)
Exercise
Index
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