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All solutions to the differential equation y-2y0 should

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Please be very careful with writing down all calculations step by step and also explain all conclusions and results thoroughlyin words using mathematical language:

1. All solutions to the differential equation y'-2y=0 should also be solutions to the differential equation y''-ay'+ay=0. Determine the constant a such that this is true.

2. Determine if the inverse applies for this value of a, that is, if all solutions to y''-ay'+ay=0 are solutions to y'-2y=0.

Reference no: EM13583213

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