discuss symmetry in differential equations

Part I: Introduce differential equations. What is a differential equation? How are differential equations used in mathematics, science, and engineering to solve problems?

Part II: Define symmetry in differential equations. Discuss how symmetry is used to solve certain types of differential equations. Part III: Solve two differential equations using symmetry methods. Present a clear analysis of your solutions.

Part IV: Make some concluding remarks about the importance of symmetric methods in the solution of differential equations.

Please do not copy. And reference is needed.