First order differentials

  • #1
solve dy/dx = x(1-x)

I got y = (x^2)/2 - (x^3)/3 + C

however in the solutions they've gotten:

259y0kp.png


where did t come from?
 

Answers and Replies

  • #2
302
0
It came when they integrated dt on the right hand side, 2 steps above where you marked the solution.
 
  • #3
Dick
Science Advisor
Homework Helper
26,258
619
It looks to me like there is a typo in the problem. y disappeared! I think they meant the derivative to be dx/dt, not dy/dx. Your solution to dy/dx=x(1-x) is correct.
 
  • #4
302
0
Oh nice spot!
 
  • #5
315
2
It looks to me like there is a typo in the problem. y disappeared! I think they meant the derivative to be dx/dt, not dy/dx. Your solution to dy/dx=x(1-x) is correct.
Yeah it definitely looks like the problem was supposed to be dx/dt
 
  • #6
thanks guys
 

Related Threads on First order differentials

  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
627
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
1
Views
408
  • Last Post
Replies
2
Views
807
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
5
Views
982
  • Last Post
Replies
2
Views
808
Top