Question: Solve the logistic IVP y' = ky (l - y), y(0) = y0. By means of the change of variable z = y/( l -
Solve the logistic IVP
y' = ky (l - y), y(0) = y0.
By means of the change of variable z = y/( l - y). Solve the resulting DE in z = z(t) and then re-substitute to obtain y(t). (Your result should be equation (10) with L = 1)
Step by Step Solution
★★★★★
3.34 Rating (166 Votes )
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
y ky l y Letting z y1y yields Substituting for dydt from the origina... View full answer
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
Document Format (1 attachment)
947-M-L-A-L-S (4640).docx
120 KBs Word File
