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safwatonline
Joined: 19 Nov 2005
Posts: 1357
Helped: 161
Location: EGYPT
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 11 May 2008 20:13 differential |
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| lets say z=dy/dx and m=dy/dt can i say that m=zdx/dt given that z is a function of time.
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RFCMOS
Joined: 05 May 2005
Posts: 146
Helped: 19
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| 11 May 2008 21:02 Re: differential |
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Hi,
You should consider practical examples to answer your question.
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safwatonline
Joined: 19 Nov 2005
Posts: 1357
Helped: 161
Location: EGYPT
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| 11 May 2008 21:16 differential |
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well, the practical example is the original problem 
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kalyanram
Joined: 03 Jan 2005
Posts: 228
Helped: 94
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| 12 May 2008 16:34 Re: differential |
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No, its valid only when the domain of the functions are preserved during the transformation.
Lets consider an example X = a sin ωt and Y = b cos ωt then Z = dY/dX
= -b/a tan ωt, now the function Z is defined for all values of t except when t is 2nΠ ± Π/2 but the function M = dY/dt = -b sin ωt is defined for all values of t.
However we observe that M = Z . dX/dt = -b/a tan ωt * a cos ωt, would hold good if we can ensure that the domain of t is restricted to all real values except 2nΠ ± Π/2.
~Kalyan.
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Sayem Ahmed
Joined: 07 Apr 2008
Posts: 49
Helped: 3
Location: Dhaka,Bangladesh
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| 12 May 2008 18:17 Re: differential |
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| NICE EXAMPLE.
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