Program Description: Purpose ofproblem is to calculate the dependence of the number of critical points on the parameter h of the differential equation d x d t = 1 10 x ( 10 − x ) − h and then construct the bifurcation diagram. Summary introduction: Problem will use the separation of the variable for differential equation d y d x = f ( x ) g ( y ) and the integral of x − 1 can be calculated as ∫ 1 x d x = ln | x | + c where c is called the constant of integration.

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Chapter 2.2, Problem 19P

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Program Description:Purpose ofproblem is to calculate the dependence of the number of critical points on the parameter h of the differential equation dxdt=110x(10−x)−h and then construct the bifurcation diagram.

Summary introduction:

Problem will use the separation of the variable for differential equation dydx=f(x)g(y) and the integral of x−1 can be calculated as ∫1xdx=ln|x|+c where c is called the constant of integration.

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