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1d
comment Differential equation $(x^2y^2-1)dy+2xy^3dx=0$
Problem didnt define what is t. However looking at it again it seems that this is a way to solve the resulting Linear ODE ?(after using $ X=x^2$ ) Setting $t=y^3$ ?
1d
comment Differential equation $(x^2y^2-1)dy+2xy^3dx=0$
Seems a nice solution. But I have two questions. Why it requires $y=t^n$ ? Also why in mathematica I got that result ?
1d
comment How to solve the differential equation $(x^{2}t(x)^{2n} - 1)nt(x)^{n-1}dt + 2xt(x)^{3n}dx = 0$
Original problem had y and required to use $t=y^n$
Dec
14
comment Area within $x=0$ $y=x$ and $e^{-x}$
sorry it was correct it seems it should be +1 .
Dec
14
comment Area within $x=0$ $y=x$ and $e^{-x}$
yes starting from x=0
Dec
14
comment Area within $x=0$ $y=x$ and $e^{-x}$
x=0 fixed .....
Dec
14
comment $y=e^{-x}$ and $y=x$ point of intersection
Amzoti no. I am studying definite integrals and need to find the intersection point in order to find the area starting from x=0
Dec
8
comment Evaluate $\int\sqrt[5]{\frac{x+5}{x-5}}\,\mathrm dx$
Could you explain how the last one could be solved ?
Dec
1
comment Roots of $x^4 -6x^3 +x^2+10x +1=0$
how did you get f(x) ?
Dec
1
comment Roots of $x^4 -6x^3 +x^2+10x +1=0$
thanks I was confused with Rolle theorem
Nov
28
comment Point of inflection and third derivative
Well what has confused me in first place was its example where it finds f''(2)=0 for a point so they check the third f'''(2)=6 and since its !=0 it states that it is a inflection point . But this doesnt have any relation with the statement...
Nov
28
comment Point of inflection and third derivative
So are you 100% sure that book is wrong?
Nov
25
comment Compute limit $\lim_{n\rightarrow\infty}\frac{1*3*5*…*(2n-1) }{ 2*4*6*…*(2n)}=0$
the one in the body
Nov
10
comment $ \sum_1^\infty (-1)^n \left(1 + \frac{2}{n^2}\right)^{n^2} $ series diverge
@BrianM.Scott yes.However according to what I know we cant tell for sure about Series. (only in case sequence limit is zero
Nov
10
comment $ \sum_1^\infty (-1)^n \left(1 + \frac{2}{n^2}\right)^{n^2} $ series diverge
I know the limit is $e^2$ But how does this help
Nov
10
comment Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
its a dupe ,.,,
Nov
10
comment Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
why the second sum results to $\frac{1}{u!}$ ?
Nov
10
comment Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
I have tried this but cant get any further.
Sep
9
comment Solve this differential equation $xy'(x)=y(ln(x)-ln(y))$
yes I did a mistake . So then I just have to solve the equation. When I find g(x) its a bit tricky to get y(x). Thanks
Sep
9
comment Solve this differential equation $xy'(x)=y(ln(x)-ln(y))$
I come to a dead end. $g'(x)=lnx/x -e^{g(x)}/x$