Solve the following differential equation : x² dy + y(x + y) dx = 0
A bacteria sample of certain number of bacteria is observed to grow exponentially in a given amount of time. Using exponential growth model, the rate of growth of this sample of bacteria is calculated. The differential equation representing the growth of bacteria is given as : dP/dt = kP, where P is the population of bacteria at any time 't'. Based on the above information, answer the following questions :
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