Stability inquiry of $x(t) = 0.1e^{-t} + 0.1e^t - 0.1\sin(2t) + 0.1e^3 (\sin(2(t-3)) + e^{-t+3}-e^{t-3})\times H(t-3)$
107620
Determining stability of the differential equation
52857
Behaviour of $\frac{x^{3} y}{x^{6} + y^{2}}$ around origin
99918
The $100$th derivative of $(x^2 + 1)/(x^3 - x)$
66082
Using $\sqrt{1-t}\leq 1-\frac t2$ to show that $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots2n}\geq\frac1{2\sqrt n}$
81258
Evaluation of $\int_{-\infty}^\infty \frac{\sin(at)}t\ dt$
131570
Solve differential equation, $x'=x^2-2t^{-2}$
9587
If $f(t) = 1+ \frac{1}{2} +\frac{1}{3}+....+\frac{1}{t}$, find $\sum^n_{r=1} (2r+1)f(r)$ in terms of $f(n)$
111705
Why does $\frac{1+t}{(1-t)^3}=\sum_{n=0}^{\infty}(1+n)^2t^n$
3424
Use taylor series to arrive at the expression f'(x)=1/h[-3*f(x)/2+2f(x+h)-f(x+2h)/2]
49511
Do we have $\lim_{h\to 0^+}\int_0^\infty|f(t+h)-f(t)|dt=0$?
33010
Roots of $ x^{13} - e^{-x} + x - sin(x) = 0$
110693
How to show the maximal interval for $\dot{x}(t)=-cx^2(t)+\frac{x^2(t)}{1+x^2(t)}$ is $[0,\infty)$?
147684
Prove that $\sin \theta=\frac{3 \sin \alpha+\sin^3 \alpha}{1+3\sin^2 \alpha}$ using given condition
72872
Number of zeroes of solution to $y''(x)+e^{x^2}y(x)=0$ in $[0,3π]$
53224
$e^{-x}f(x)=2+ \int_0^x\sqrt{t^4+1}dt$ function for finding the inverse
13789
solve $T(n)=T(n-1)+T(\frac{n}{2})+n$
30697
Solution of a Riccati ODE