d'y -(2) dy dt? = 2yt dt

Classify the following differential equation as Linear and non-Linear and find the solution.

Suppose 135 small business firms are threatened by bankruptcy. If y is the number bankrupt by time t, then 135 - y is the number not yet bankrupt by time t. The rate of change of y is proportional to the product of y and 135 - y. Let 2010 correspond to t= 0. Assume 20 firms are bankrupt at t= 0. Complete parts a. and b. below. a. Write a differential equation using the given information. Use 0.003 for the constant of proportionality. dy The differential equation is dt

Part A. Identify if the following statement or equations are accurate, if they are not, apply necessary correction. You are then to classify if it belongs to either Exact or Linear Differential Equation. Write E for Exact and L for Linear 1. D (x.y)dx + E (x.y)dy 0 Ans 2. Ans: dy 3. el Plxlax Ans 4. y+P()y = Q00 Ans 5. P(x.y)dx- p) Ans