Trouble with this differential equation

AI Thread Summary
To solve the differential equation (x+1)f'(x) - xf(x) + c = 0, it can be rewritten as y' - x/(x + 1) = -c/(x + 1). An integrating factor is necessary for this approach, which helps simplify the equation. Examples of using integrating factors in similar equations can enhance understanding. This method is suitable for more advanced calculus rather than precalculus topics.
matteo86bo
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Hi!
can you help me to solve this differential equation?

<br /> <br /> (x+1)f^{\prime}(x)-xf(x)+c=0<br /> <br />

c is a constant
 
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matteo86bo said:
Hi!
can you help me to solve this differential equation?

<br /> <br /> (x+1)f^{\prime}(x)-xf(x)+c=0<br /> <br />

c is a constant
Rewrite the equation as y' - x/(x + 1) = -c/(x + 1) and find an integrating factor. Your text should have some examples of this technique.

BTW, this is NOT a precalculus question.
 

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