Question: Solve this showing all steps and all work please don't use AI 3. Consider the ODE ay + by + cy = f(x). (a) Suppose

Solve this showing all steps and all work please don't use AI 3. Consider the ODE ay + by + cy = f(x). (a) Suppose a = 1, b = 0, and c = 0, and f (x) = ln |x|. Solve this ODE. (b) Identify yp in the general solution you gave in part (a). Find two other particular solutions to the same ODE. (c) Suppose a = 1, b = 0, and c > 0, and f (x) = ln |x|. Solve this ODE. (d) Identify yp in the general solution you gave in part (c). Find two other particular solutions to the same ODE. (e) Using your previous work, describe how you might use the annihilator/undetermined coefficients method for ODE's like in parts (a) and (b). If possible, provide an example and solve it using this process

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