Integrating Factor Method Problem

  • Thread starter bdh2991
  • Start date
  • #1
103
0

Homework Statement



Find the general solution of the given differential equation cosxy'+(sinx)y=1



The Attempt at a Solution



I divided everything by cosx and got : y'+(tanx)y=secx

then after doing e to the integral of tanx i got : ∫d/dx[secx*y]=∫secx

after integrating and simplifying i got y= ln|secx+tanx|/secx + Ccosx

the answer in the book is y= sinx + Ccosx

the weakest part of my math is simplifying (or algebra) what did i do wrong or what do i need to do?
 

Answers and Replies

  • #2
vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
15,089
1,669
When you multiplied by the integrating factor, you forgot to do it to the righthand side of the equation.
 

Related Threads on Integrating Factor Method Problem

  • Last Post
Replies
9
Views
1K
  • Last Post
Replies
7
Views
7K
Replies
5
Views
2K
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
383
Replies
0
Views
2K
Replies
1
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
12
Views
1K
Top