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1. Using Integrable Combinations, find the particular solution to the given differential equation. xdy = 7x'dx + ydx, x =2 when y=5 Answer: /5 2. Using Separation of Variables, find the general solution to the given differential equation. y'edx + 4dy = y'dy 3. Solve the following Differential Equation using Laplace Transform. y" + 4y' -5y =0 y(0) = 3 y'(0) = 2 Answer: 4. Solve the following Differential equation using Laplace Transform. y"+ 4y =7 y(0) = 5 y'(0) = 3