Last Quiz Solutions for Math 106, Section B - Differential Equations, Exercises of Calculus

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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2012/2013

Uploaded on 03/16/2013

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Name Last Quiz!
Math 106, section B April 7, 2004
1. (a) What is the equilibrium solution of the differential equation dy
dx = 3y6?
(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 xif possible.
2. Solve the differential equation dy
dx = 3(x2+ 1)(y2+ 1) if y= 0 when x= 0.

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Name Last Quiz! Math 106, section B April 7, 2004

  1. (a) What is the equilibrium solution of the differential equation dy dx

= 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.

  1. Solve the differential equation

dy dx

= 3(x^2 + 1)(y^2 + 1) if y = 0 when x = 0.