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Consider the differential equation: y'' = y' + y a) derive the characteristic polynomial for the...

Consider the differential equation: y'' = y' + y

a) derive the characteristic polynomial for the differential equation

b) write the general form of the solution to the differential equation

c) using the general solution, solve the initial value problem: y(0) = 0, y'(0) = 1

d) Using only the information provided in the description of the initial value problem, make an educated guess as to what the value of y''(0) is and explain how you made your guess

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