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-   -   Mechanics Notes: Chapter 4,12 and 9 (http://www.cssforum.com.pk/css-optional-subjects/group-ii/applied-mathematics/93695-mechanics-notes-chapter-4-12-9-a.html)

waqas izhar Sunday, August 17, 2014 09:50 PM

flip it on its head i.e. dx/dy and then it becomes bernoulli i think

engr sarakhan Monday, August 18, 2014 04:50 AM

[QUOTE=waqas izhar;747802]flip it on its head i.e. dx/dy and then it becomes bernoulli i think[/QUOTE]

No brother still it becomes dx/dy = x + y^2 . While the standard form of bernouli's equation is dy/dx+p(x)y=y^n. If we work out on the above equation to try to make it bernouli, the end result will be dx/dy -x =y^2. Notice the 2nd term on Right hand side is only -x here y is missing.
The paper of CE 2014 was a pathetic one. And i pray that this time it be in its limit.
Try some other method if u could.

Roshnain Swati Monday, August 18, 2014 08:02 AM

[QUOTE=engr sarakhan;747844]No brother still it becomes dx/dy = x + y^2 . While the standard form of bernouli's equation is dy/dx+p(x)y=y^n. If we work out on the above equation to try to make it bernouli, the end result will be dx/dy -x =y^2. Notice the 2nd term on Right hand side is only -x here y is missing.
The paper of CE 2014 was a pathetic one. And i pray that this time it be in its limit.
Try some other method if u could.[/QUOTE]

But the equation you have dx/dy -x =y^2 is a Bernaouli in the variable x rather than y. Here the meanings for x and y are interchanged and we solve for x and not for y.

waqas izhar Monday, August 18, 2014 08:08 AM

the form dx/dy is linear in variable x. it isn't bernoulli but it is linear with y as independent variable. its integrating factor is exp(-y).

Roshnain Swati Monday, August 18, 2014 10:12 AM

Yeah. It is linear and not Bernouli.

Raheel Mughal Saturday, February 02, 2019 05:19 AM

Can anyone here help me out with applied mathematics?? I need it’s notes


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