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January 20th, 2014, 10:12 PM  #1 
Senior Member Joined: Sep 2012 Posts: 112 Thanks: 0  complementary function & particular integral of a diff. equ.
Q. Find the complementary function & the particular integral of the following equation: dy/dx = 2 I don't know how to calculate complementary function and particular integral of this problem. Please help. 
January 21st, 2014, 12:02 AM  #2 
Senior Member Joined: Aug 2011 Posts: 334 Thanks: 8  Re: complementary function & particular integral of a diff.
dy/dx = 2 A particular solution is y=2x which is the result of a particular integal of 2*dx The related homogeneous equation is dy/dx=0 which solutions are y=C , any constant. The general solution is y=2x+C Obviously, the undefined integration leads directly to the general solution. 
January 21st, 2014, 03:01 AM  #3  
Senior Member Joined: Sep 2012 Posts: 112 Thanks: 0  Re: complementary function & particular integral of a diff. Quote:
In case of linear differential equation with constant coefficient i.e. (dy/dx) + ay = b, the complementary function and the particular integral= b/a Here a, b and A are constants. I did understand the way you calculated the complementary function. But I couldn't understand how you calculated the particular integral. Could you please explain step by step?  
January 24th, 2014, 09:54 PM  #4 
Senior Member Joined: Sep 2012 Posts: 112 Thanks: 0  Re: complementary function & particular integral of a diff.
ok, now I understand how you calculated the particular integral. Thanks a lot! My problem is solved now.


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complementary, diff, equ, function, integral 
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