Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics 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.

solving differential equations help

Status
Not open for further replies.

engr_joni_ee

Advanced Member level 3
Joined
Nov 3, 2018
Messages
726
Helped
2
Reputation
4
Reaction score
4
Trophy points
18
Activity points
6,042
I need help in solving differential equations

Code:
1- xy' - y = x^2

2- y' -y/x = x sinx
 
3- y' -3x^2 y = (4 x e ^(x^3))/sqrt(1+(x^2))

4- y'-y/x = x cos x
 

they are all first order linear ordinary differential equations
there are a variety of methods used, which may be found on the internet

you can check the answers with wolfram alpha:
go to the wolfram alpha website and type something like find y for xy' - y = x^2
enter and wait. it will give you the solution but won't tell you how to do it.
 

I need help in solving differential equations

Code:
1- xy' - y = x^2

2- y' -y/x = x sinx
 
3- y' -3x^2 y = (4 x e ^(x^3))/sqrt(1+(x^2))

4- y'-y/x = x cos x


Hint:
Code:
xy' - y = x^2 (y/x)'
and
Code:
y' -3x^2 y = (y e^(-x^3))' e^(x^3)



Then
Code:
1- x^2 (y/x)' = x^2  -----> solve  (y/x)' = 1

2- x (y/x)' = x sinx   -----> solve  (y/x)' = sinx

3- (y e^(-x^3))' e^(x^3) = (4 x e ^(x^3))/sqrt(1+(x^2)) -----> solve  (y e^(-x^3))' = (4 x)/sqrt(1+(x^2))
 
4- x (y/x)' = x cosx  -----> solve  (y/x)' = cosx

All are easy to integrate.
 

Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top