Solution Of Differential equations

1. SOLUTIONS OF DIFFERENTIAL EQUATIONS ASAD ABBAS 08-EE-09

2. DIFFERENTIAL EQUATIONS Definition A differential equation is an equation involving derivatives of an unknown function and possibly the function itself as well as the independent variable. Example Definition The order of a differential equation is the highest order of the derivatives of the unknown function appearing in the equation 1 st order equations 2 nd order equation Examples In the simplest cases, equations may be solved by direct integration. Observe that the set of solutions to the above 1 st order equation has 1 parameter, while the solutions to the above 2 nd order equation depend on two parameters.

4. INTERESTING APPLICATIONS OF DIFFERENTIAL EQUATIONS

9. SOLUTIONS OF DIFFERENTIAL EQUATIONS

14. INITIAL CONDITIONS INITIAL VALUE PROBLEM AND BOUNDARY CONDITIONS

19. Solved Problem Exercise 1.1 Page no. 8 Question no. 10

20. Problem: 10 What Happens to DE in Problem 9 if we change the solution to Problem: 9

21. (Diff w.r.t ‘x’) Ans.