Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronic Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Register Log in

Method of undetermined coefficients

Status
Not open for further replies.

sky_tm

Junior Member level 1
Joined
Feb 15, 2006
Messages
15
Helped
0
Reputation
0
Reaction score
0
Trophy points
1,281
Activity points
1,262
\[\frac{{d^2 y}}{{dx^2 }} - \frac{{dy}}{{dx}} + 6y = 36x + 50\sin x\]
find particular solution of the differential equation which satisfies the
initial conditions
\[y = 0,\frac{{dy}}{{dx}} = 0,x = 0\]
 

v_c

Advanced Member level 2
Joined
Oct 11, 2005
Messages
514
Helped
113
Reputation
226
Reaction score
37
Trophy points
1,308
Location
Chicago, IL, USA
Activity points
8,229
I am attaching the solution in the pdf file. I used the open source tool called Maxima
( http://maxima.sourceforge.net/ ) to do the analysis. The blue lines are the inputs and the black lines are the outputs. The first blue line solves the differential equation and since it is a second order differential equation two unknown constants (%k1 and %k2) appear in the first black line. The second blue line applies the initial conditions to the solution and the results appear right after that.

Hope this helps you out.

Best regards,
v_c[/img]
 

Status
Not open for further replies.
Toggle Sidebar

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Top