Differential Equations

Authors : Ravendra Kumar & Bhagwan Singh

Contents

1. Differential Equation of First Order and First Degree 6 – 14
2. Differential Equation and Mathematical Model 15 – 48
3. Solution of Differential Equation of First Order and First Degree 49 – 104
4. Orthogonal Trajectory 105 – 111
5. Compartmental Model 112 – 151
6. Principal of Superposition for Homogeneous Equation 152 – 158
7. The Wronskian 159 – 177
8. Linear Homogeneous Equation of Higher Order with
Constant Coefficent 178 – 212
9. Homogeneous Linear Equation (Cauchy Euler’s Equation) 213 – 225
10. Method of Variation of Parameter 226 – 240
11. Method of Undetermined Coefficent 241 – 252
12. Euler’s Method 253 – 257
13. Modelling and Phase-plane Analysis 258 – 284