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From: James Burns on 23 Apr 2010 10:33
Dan Cass wrote:
>>>y'=y - (x^2)/y
>>>
>>>What wouold be the easier way to solve this?
>>
>>Consider
>>
>>>it a Bernoulli
>>>equation?
>>
>>By far the easiest way is to put it in Maple
>>or other CAS...
>>
>>dsolve( diff(y(x),x)=y(x)-x^2/y(x),y(x));
>> 2 1/2
>> y(x) = 1/2 (2 + 4 x + 4 x + 4 exp(2 x) _C1) ,
>>
>>2
>>2
>> 2 1/2
>> y(x) = -1/2 (2 + 4 x + 4 x + 4 exp(2 x) _C1)
>
>
> This makes no sense unless you view as plain text...

In Maple, if you select the answer (or any part of the answer),
the typable version of the selection appears in an
text input slot (I don't know what that's called).

The answer above gives us:
y(x) = 1/2*sqrt(2+4*exp(2*x)*_C1+4*x^2+4*x), y(x) =
-1/2*sqrt(2+4*exp(2*x)*_C1+4*x^2+4*x)

which is not much improved. But, the addition of whitespace
gives us:
y(x) = 1/2*sqrt( 2 + 4*exp( 2*x )*_C1 + 4*x^2 + 4*x ),
y(x) = -1/2*sqrt( 2 + 4*exp( 2*x )*_C1 + 4*x^2 + 4*x )

Jim Burns

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