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Deepak Aggarwal (3759)

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This is second time i m posting this question wid a hope of getting answer from the experts.

Solve the following differential equation:

dy / dx = exy

 


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winx (1236)

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hey ........i als need da approach 4 dis question..................

can ny1 help us plzzzzzzzzz..........

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SRIJAN MISHRA (43)

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  Let exy = t , differentiate both side and put exy = t in the derivative.You will get a variable seperable form.


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Deepak Aggarwal (3759)

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Could u solve it fully. Bcoz i am sure its not by dat method.

if we put exy = t

So, exy ( x dy/dx + y ) = dt/dx

or, dy/dx = (1/xt) dt/dx - (1/x) [(logt) / (x)]

So, (1/xt) dt/dx - (1/x) [(logt) / (x)] = t

Do, u really think its a variable separable form??


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edison (8935)

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http://www.askiitians.com/forums/Differential-Calculus/25/6825/Differential-equation.htm


A paradox is an argument that starts with apparently acceptable assumptions and leads by apparently valid deductions to an apparent contradiction. Since logic admits no contradictions, either the apparently acceptable assumptions are not acceptable, or the apparently valid
deductions are not valid, or the apparent contradiction is not a contradiction. A paradox moves us to reexamine the argument until we find out what is wrong.
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