Solution of this differential equation

ecpietscheck
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Whatsup guys,
im new in this forum so be easy on me...
I've been banging my head against a wall lately...
i have come up across a differential equation i haven't been able to resolve...
does any of you know any way of resolving this equation??
a(x) needs to be differentiable for any x belonging to the real numbers
cheers guys!

(both of them are the same, the only difference is that the first one is without the integration procedure done, and the second is with both sides already integrated)
 

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ecpietscheck said:
Whatsup guys,
im new in this forum so be easy on me...
I've been banging my head against a wall lately...
i have come up across a differential equation i haven't been able to resolve...
does any of you know any way of resolving this equation??
a(x) needs to be differentiable for any x belonging to the real numbers
cheers guys!

(the equation is attached to this very post)
You have two equations in the attachment. What's your question? Are you asking how the second equation results from the first?

BTW, is this a homework problem?
 
mark, thanks for replying
in fact, both of them are the same equation, the only thing is that the first one is without integrating, and the second one is when the equation is already integrated

and no, it is not homework, its a research I am doing...
 
The second equation is not equivalent to the first. You handled the left hand side incorrectly. Incidentally, is there some sort of value for "a" given at some value of x.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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