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Mechanics Notes: Chapter 4,12 and 9 Mechanics Notes: Chapter 4,12 and 9

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  #71  
Old Sunday, August 17, 2014
waqas izhar's Avatar
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flip it on its head i.e. dx/dy and then it becomes bernoulli i think
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  #72  
Old Monday, August 18, 2014
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Quote:
Originally Posted by waqas izhar View Post
flip it on its head i.e. dx/dy and then it becomes bernoulli i think
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.
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  #73  
Old Monday, August 18, 2014
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Originally Posted by engr sarakhan View Post
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.
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.
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  #74  
Old Monday, August 18, 2014
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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).
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Old Monday, August 18, 2014
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Yeah. It is linear and not Bernouli.
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Old Saturday, February 02, 2019
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Can anyone here help me out with applied mathematics?? I need it’s notes
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