Midterm I Practice (2) Fall 2008 - Math 107 Calculus II Spring 2008 Midterm I Practice Exam II Solutions Solutions 1(a Find the general solution to the

Midterm I Practice (2) Fall 2008 - Math 107 Calculus II...

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Math 107: Calculus II, Spring 2008: Midterm I Practice Exam II Solutions Solutions 1.(a) Find the general solution to the following separable differential equationdxdt=tx-t.(b) Find the specific solution to the differential equation from part (a) that hasx(0) =-1.(Write your answers in the formx(t) =. . ..) 1
2. The giant panda population at timet(measured in years) is given by the functionP(t)(measured in thousands – i.e.P= 1means there are 1000 pandas).This functionsatisfies the following autonomous differential equationdPdt= (P-2)(10-P).(a) What are the equilibrium solutions to this differential equation?(b) Use the first derivative test to find the stability of the equilibrium solutions.(c) Sketch the solutions to this differential equation.

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