How to show the solution for $\dot{x}(t)=-cx^2(t)+\frac{x^2(t)}{1+x^2(t)}$ is bounded?
110693
How to show the maximal interval for $\dot{x}(t)=-cx^2(t)+\frac{x^2(t)}{1+x^2(t)}$ is $[0,\infty)$?
82286
Derivation of asymptotic solution of $\tan(x) = x$.
83692
Finding the interval where a solution is certain to exist for the equation $y' + (\tan t)y = \sin t$
96388
Prove $\sin(x)\tan(x) > x^2$ for $x \in ( \,0, \frac{\pi}{2}) \,$
142360
How to show $x_1,x_2, \dots ,x_n \geq 0 $ and $ x_1 + x_2 + \dots + x_n \leq \frac{1}{2} \implies (1-x_1)(1-x_2) \cdots (1-x_n) \geq \frac{1}{2}$
67158
Solve $y'-\int_0^xy(t)dt=2$
34790
Find $f(1)$ from equation $\int_{0}^{x}f(t)dt = x+\int_{x}^{1}tf(t)dt$
145152
How to prove that $\frac{x^2}{yz+2}+\frac{y^2}{zx+2}+\frac{z^2}{xy+2}\geq \frac{x+y+z}{3}$ holds for any $(x,y,z)\in[1,2]^3$
85529
When is $F(x)=x^a\sin(x^{-b})$ with $F(0)=0$ of bounded variation on $[0,1]$?
55173
Solve for $\lim_{x \rightarrow \infty} \frac{x^{\ln(x)}}{(\ln(x))^x}$
71465
solution of $y' = \exp \left(-\frac yx\right) + \frac yx$
61262
Is $\cot(z)-\frac1z$ bounded on a given circle?
52620
Solve the pde $u_t(x,t)=u_{xx}(x,t)-bu(x,t)+q(t)$ for $u(x,t)$
105693
How do I solve this PDE?
26113
Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula
131120
Proving an integral equation.
93365
Solutions of $\arctan x = 1 - x$. Proofs?