Find the particular solution to the differential equation

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Questions

1. Find the particular solution to the differential equation dy dx = xy + x which satisfies y = 3 when x = 0. Show your work.

2. A population of bacteria undergoes exponential growth. If at noon, there are 1000 bacteria, and there are 2000 by 2pm, when does the number of bacteria reach 8000? Show your work and simplify your answer.

Reference no: EM132196804

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