| 1 | First order differential equations: The concept of differential equations. | [1] p.1-10 |
| 2 | Direction fields and integral curves, Existence and uniquenss of solutions, Separable equations. | [1] p.10-29 |
| 3 | First order Lineer differential Equations, Substitution method and homogeneous equations. | [1] p.29-47 |
| 4 | Bernoulli Equations, Exact equations and converting some not exact equations to exact equations. | [1] p.89-96 |
| 5 | Reducable second order equations and Riccati equations. | [1] p.129-140 |
| 6 | Higher Order Lineer Equations: Second Order Linee rHomogeneous Equations, Existence and uniqueness theorem, Linear dependence and indipendence, Wronskian. | [1] p.140-155 |
| 7 | Constant Coefficient Second Lineer Equations: Distinct and complex roots oft he characteristic equations. | [1] p.155-165 |
| 8 | Repeated roots of the characteristic equations and reduction of order. | [1] p.165-175 |
| 9 | Nonhomogeneous second order equations and method of undetermined coefficients. | [1] p.175-186 |
| 10 | Nonhomogeneous second order equations and variation of parameters. | [1] p.175-186 |
| 11 | Higher order linear equations: Exisrence and uniqueness theorem, Linear dependence and indipendence, Wronskian. Distinct and complex roots of the characteristic equations. | [1] p.209-220 |
| 12 | Repeated roots of the characteristic equations and reduction of order. | [1] p.220-226 |
| 13 | Nonhomogeneous higher order equations and method of undetermined coefficients. | [1] p.226-231 |
| 14 | Nonhomogeneous higher order equations and variation of parameters. for sustainable engineering. | [1] p.226-231 |