How do I solve this differential equation?
It is not homogenous, or linear first order, so what can I do?
$(x+2y+7)~dy=(x+2y-1)~dx$
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Hint: Set $u=x+2y-1$ and so $du=dx+2dy$ and so $$(u+8)\left(\frac{du-dx}{2}\right)=udx$$
Mikasa
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Great hint, Babak! – amWhy Apr 27 '13 at 01:14
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@amWhy: Thanks Amy. I t was soooooo simple. – Mikasa Apr 27 '13 at 04:48
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;-) Glad to see you before my heading to bed! I'll sleep better now! – amWhy Apr 27 '13 at 04:49
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Me too Amy, I know, I should wait till you be back here. I am working on relations in a semigroup right now. They don't obey me Amy. I am so angry of these blind creatures. – Mikasa Apr 27 '13 at 04:51
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1I love your descriptions! Keep at it...don't let those nasty creatures get the best of you ;-) – amWhy Apr 27 '13 at 04:52
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@amWhy: Have a look at my poor deleted answer. http://math.stackexchange.com/q/374122/8581 – Mikasa Apr 27 '13 at 10:44