Register to reply

Differential equation family of curves

by gaobo9109
Tags: curves, differential, equation, family
Share this thread:
gaobo9109
#1
Oct1-11, 01:05 AM
P: 66
1. The problem statement, all variables and given/known data
The general solution to a differential equation is given by y = 3xln(x)+cx+2. Find the equation of the locus where stationary points of solution curve lies.


2. Relevant equations



3. The attempt at a solution
After I differentiate the equation, i get dy/dx = 3ln(x)+3+c. But how do i continue from here?
Phys.Org News Partner Science news on Phys.org
New model helps explain how provisions promote or reduce wildlife disease
Stress can make hard-working mongooses less likely to help in the future
Grammatical habits in written English reveal linguistic features of non-native speakers' languages

Register to reply

Related Discussions
Differential Equation - Explicit 2-Parameter family of solutions Calculus & Beyond Homework 4
Family of Curves Calculus 3
Envelope of family of curves Calculus & Beyond Homework 14
Find a family of solutions to the differential equation, did he just swear at me? Calculus & Beyond Homework 2
Find a function F(x,y) whose level curves are solutions to the differential equation Calculus & Beyond Homework 7