Mathematics
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unit 1991
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question
3
Solve the differential equation. $y^\prime = y^2+\frac{1}{x^4}$, $y=\frac{1}{x^2}\text{ctg}(\frac{1}{x}+c) - \frac{1}{x}$ and $y(+\infty)=0$
Sep 21, 2021
question
3
Solve $(y+1)dx+(x+1)dy=0$
Dec 12, 2021
question
3
Show that $f_n(x)=x^n(1−x^n)$ is not monotone
Jan 29
question
2
Prove or disprove convergence of $\int_0^1 \frac{dx}{x-sinx}$
Feb 14
question
2
Find equation of the plane that this $x=\frac{1+t}{1-t}, y=\frac{1}{1-t^2}, z=\frac{1}{1+t}$ curve lies
Mar 25
question
2
Near point $(0,0)$ find taylor formula for $f(x,y)=\ln(1+x+y)$
Apr 25
question
2
Using polar coordinates find area of $(x^2+y^2)^3=x^4+y^4$
May 18
question
2
Explore convergence of $\sum_{n=3}^{\infty}\frac{1}{n\ln n(\ln\ln n)^\alpha}$
Nov 15, 2021
question
2
Why Z={0,1,-1,2,-2,..} space as (R,usual topology) subspace has infinitely many connected components?
Jan 3
question
2
$\mathbb{R}^2 \setminus C$ subspace has two connected components where $C$ is a circle.
Jan 4

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