Solving Functional Differential Eqns

graph TB A[Solving Functional Differential Equations] B[Understand the Problem] C[Identify the Type of Equation] D[Choose Appropriate Method] E[Solve the Equation] F[Verify the Solution] A --> B A --> C A --> D A --> E A --> F C -->|Ordinary| G[Ordinary Differential Equations] C -->|Partial| H[Partial Differential Equations] D -->|Separation of Variables| I[Separation of Variables] D -->|Laplace Transforms| J[Laplace Transforms] D -->|Fourier Series| K[Fourier Series] E --> L[Find General Solution] E --> M[Find Particular Solution] F --> N[Substitute Solution] F --> O[Check if Equation is Satisfied]