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November 21st, 2011, 02:29 PM   #11
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Re: differential equation

I know I'm asking for much, but this is the last one I'm asking you guys to help me with
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November 21st, 2011, 02:31 PM   #12
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Re: differential equation

For the one you uploaded the image of your working:

We are given:



Separate variables:







Convert from exponential to logarithmic form:

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November 21st, 2011, 05:52 PM   #13
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Re: differential equation

Quote:
Originally Posted by BonTrust
I know I'm asking for much, but this is the last one I'm asking you guys to help me with
We are given:



Divide through by :



Separate variables:







The solution can then be given implicitly by:

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November 21st, 2011, 10:46 PM   #14
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Re: differential equation

Quote:
Originally Posted by MarkFL
Quote:
Originally Posted by BonTrust
I know I'm asking for much, but this is the last one I'm asking you guys to help me with
We are given:



Divide through by :



Separate variables:







The solution can then be given implicitly by:

I thought the pattern was to separate the y at the end, to get something like y = x...+c, not another equation:/ I'm confused.
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November 21st, 2011, 10:55 PM   #15
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Re: differential equation

Sometimes, you get an implicit relationship between the dependent and independent variables, rather than an explicit one. With this one, we could solve for x, to get x as a function of y...
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November 22nd, 2011, 03:43 AM   #16
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There was nothing in the original equation to suggest that y was the dependent variable and x the independent variable.
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