1. Consider the following ODE, where k is constant: dy = kx3y - x2 dy dx dx Prove that this ODE is separable. Find its general solution.2. Suppose a certain viral endemic has infected 10% of a population containing 1 million total people. 60 days later, the number of active infections doubles. Assuming logistic growth, how many active infections will there be after a total of 90 days have passed