I don't know if you have access to a Diff.Eq. book, but there should be a list of the different things that you can end up with depending on the right hand side.
any good reference? im' in indonesia so it's rather hard to get a good book with the original language (usually they're translated into indonesian and sometimes it's confusing), but shoot anyway...?
Have you solved diffeq's before? If not, I can see how it would seem a bit daunting smile
yes, but not with high order equations and all (d^2q/dt^2 or higher)
a question, what if the right hand side of the equation is not constant, let say it's a function also then what would you do with the 'particular solution'? thanks before..(btw in what year are you in college?)
I hope this helps...
your problem is:
divide 2x^2/(2x^2+1) to acquire 1-(1/2x^2+1)
then: ∫ 1-(1/2x^2+1) dx = ∫dx - ∫(1/2x^2+1) dx, yay..an easier integration...!!
= x-∫(1/2x^2+1) dx, and we know that ∫1/(u^2+a^2) dx = 1/a arc tg u/a
thus: x- (arc tg x√2) or x(1-arc tg √2) + C
guys please CMIIW...
4. A curve has the following equation: y=x³ -12x+7
(i) Find the gradient function ,dy?dx, of the curve. (2 marks)
(ii) Find the coordinates of the points on the curve at which the gradient is zero. (6 marks)
(iii) Describe the nature of the curves turning points. (4 marks)
i) dy/dx = 3x^2 - 12
ii)dy/dx=0, 0=3x^2-12, 3x^2=12
y=2^3 - 12.2 +7
iii) i don't understand the question, sorry..
guys, please correct me if i'm wrong...