23 Solution of this Diophantine Equation 18 Suppose $y$, Does $\frac{dy}{dy}$ have meaning when we derive it with respect to itself? 11 Solve the functional equation $\frac{f(x)}{f(y)}=f\left( \frac{x-y}{f(y)} \right)$ 7 Evaluate $\lim_{x\to 0} \frac{5^x-3^x}{x}$ 6 How to integrate $\int \frac{v}{g-kv}dv$

### Reputation (2,683)

 +10 Prove that every path-component is an open set. +10 Does there exists a non-decreasing function which is also nowhere continuous? +10 Solution of this Diophantine Equation +10 Evaluating a double integral that arises in computing the solid angle subtended by an equilateral triangle

### Questions (36)

 6 Cofinite\discrete subspace of a T1 space? 5 Intuition behind $i^{i}$. 4 Locus of image of point in a line. 4 A map can be open, closed and continuous indepently. [duplicate] 4 Coupled differential equation arising in flow line.

### Tags (88)

 52 calculus × 25 21 derivatives × 6 23 prime-numbers × 2 16 integration × 11 23 diophantine-equations 14 functional-equations × 2 23 elementary-number-theory 10 algebra-precalculus × 7 21 limits × 10 9 trigonometry × 4

### Bookmarks (99)

 119 Why is negative times negative = positive? 110 How to find solutions of linear Diophantine ax + by = c? 80 Probability density function vs. probability mass function 71 “Where” exactly are complex numbers used “in the real world”? 65 A map is continuous if and only if for every set, the image of closure is contained in the closure of image