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The solutions to the last quiz of math 106, section b. The quiz covered the topic of differential equations and included two problems. Problem 1 asked for the equilibrium solution and an explicit solution given initial conditions. Problem 2 required finding the solution given a different initial condition. These problems can be useful for students preparing for exams or reviewing material.
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Name Last Quiz! Math 106, section B April 7, 2004
= 3y − 6?
(b) Solve the differential equation in part (a) if y = 3 when x = 0. Here and in problem 2, write your final answer in the form y = some function of x if possible.
dy dx
= 3(x^2 + 1)(y^2 + 1) if y = 0 when x = 0.