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[12: Write an example of a rstorder differential equations and solve it using: 5 points 1 Separation of variables, 2 integrating factor. 3 Exact solution.

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[12: Write an example of a rstorder differential equations and solve it using: 5 points 1 Separation of variables, 2 integrating factor. 3 Exact solution. and 4 Substitution method. Note: If your example can be solved in one ortwo methods and cannot be solved bvthe other methods. Optional: write another example and solve it using the method that could not be used to solve vourfirst example. You should show me whvyour first example cannot be solved using any ofthe methods above. The second question in the final exam is: Solve the given differential equation. a- Analyze the DE and visualize the solution {write the general final solution: b Solve the DE and find the complementarvsolution c Solve the DE and find the particular solution 0.3: {5 points: 1- Write an example of a secondorder differential equations with IVP {initial value problem]. 2- Write an example of a secondorder differential equations with BVP (boundary value problem}. 3- Solve your example in 1 using Green's Function 4- Solve your example in 2 using Green's Function The third question in the nal is: Solve the given differential equation using Green's Function. 1 Find W6) 2- Find G(x,t). 3- Find fa] 4-Find yp(x)

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