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Apr 13, 2017 at 12:55 history edited CommunityBot
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Oct 29, 2015 at 9:22 history edited Artes CC BY-SA 3.0
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S Oct 28, 2015 at 15:06 history suggested Fabian Rost CC BY-SA 3.0
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Aug 28, 2014 at 17:11 history edited Artes CC BY-SA 3.0
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Aug 22, 2014 at 13:14 comment added Artes @StephenLuttrell This is a useful observation however the problem that DSolve yields generic solutions remains.
Aug 22, 2014 at 13:10 comment added Stephen Luttrell You get the special solution $e^x$ by taking the limit $c \rightarrow \infty$ of the general solution $e^x+\frac{1}{c-x}$.
Aug 22, 2014 at 12:55 history edited Artes CC BY-SA 3.0
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Aug 22, 2014 at 12:08 vote accept LCFactorization
Aug 22, 2014 at 11:46 history edited Artes CC BY-SA 3.0
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Aug 22, 2014 at 10:56 comment added LCFactorization I mean since $y(x)=e^x$ is a special solution to the ODE, then the ODE with initial condition is not incompatible and the current solving approach DSolve uses may be inappropriate.
Aug 22, 2014 at 10:50 comment added LCFactorization Can we know how the DSolve works? Is the general solution, $y(x)=e^x+\dfrac{1}{c-x}$, correct? Since $y(x)=e^x$ is obviously a special solution to the ODE, which can be easily verified.
Aug 22, 2014 at 10:26 history answered Artes CC BY-SA 3.0