My Math Forum Solve the Linear ODE of first order first degree

 Differential Equations Ordinary and Partial Differential Equations Math Forum

August 10th, 2019, 09:48 PM   #1
Senior Member

Joined: Nov 2015

Posts: 236
Thanks: 2

Solve the Linear ODE of first order first degree

Hi all,

Attaching the question.

Thanks a lot for your help.
Attached Images
 1st order°ree ODE.jpg (25.7 KB, 5 views)

 August 10th, 2019, 10:57 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 Your title describes the equation incorrectly. Multiply the equation by 3cos(x²), then you can integrate to get solution (B).
 August 10th, 2019, 11:12 PM #3 Senior Member   Joined: Nov 2015 From: hyderabad Posts: 236 Thanks: 2 Hi, Yes, later I understood it's not Linear D.E. It is a Non-exact D.E. Can you tell me how did you come up with the integrating factor ? Please help me to classify the type of ODE! Thank you.
 August 10th, 2019, 11:28 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 As you know, it's a non-linear ODE of first order and first degree, and is non-exact. I found an integrating factor by inspection.
 August 10th, 2019, 11:31 PM #5 Senior Member   Joined: Nov 2015 From: hyderabad Posts: 236 Thanks: 2 Understood. Thanks for the help. I have problem in solving/integrating trig functions. Can you let me know any books to refer to improve myself? Thanks in advance.
 August 10th, 2019, 11:59 PM #6 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 Any book on trigonometry will help to some extent by making you more familiar with trigonometric functions. Unfortunately, integration in general (not just where trigonometric functions are involved) uses a wide variety of techniques and can be tricky. I don't know of a textbook that deals with integration of trigonometric functions in detail. However, you would probably find it useful to read various worked examples that can be found online.
 August 11th, 2019, 12:12 AM #7 Senior Member   Joined: Nov 2015 From: hyderabad Posts: 236 Thanks: 2 Thanks a ton for your help. I solved it. I will work on more problems to get familiarized with different sorts. Have a nice day

 Tags degree, linear, ode, order, solve

« Solve DE | - »

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Addez123 Calculus 0 May 5th, 2017 06:13 PM leoteo Differential Equations 0 January 21st, 2015 10:00 PM r-soy Calculus 2 February 4th, 2013 10:34 AM panky Calculus 3 November 28th, 2011 11:47 PM reggea07 Applied Math 9 May 15th, 2011 12:05 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top