List questions from problem-solving

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Checkers Board Problem

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How many positive integers from set $\{1,2...,10^{30}\}$ can't be represented as 2nd, 3rd, or 5th power of some positive integer?

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Find m. $y=e^{mx},m\in\mathbb R,\frac{d^2y}{dx^2}-3\frac{dy}{dx}-4y=0$

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Special Numbers

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Problem: Using Cauchy's integral formula show...

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Solving linear matrix equations of the form $X = AXA^T + C$

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system of equations with three equations.

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Python numerical solution for a nonlinear second order ODE with two boundary conditions

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Show that the equation $\cos(\sin x)=\sin(\cos x)$ has no real solutions.

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Probability that a stick randomly broken in five places can form a tetrahedron

Published on 05 Apr 2013 - 7:44

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Showing that $f$ is analytic in $\mathbb{R}$

Published on 07 Apr 2013 - 0:55

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Showing that $B_0=1$ and that $\sum^n_{k=0}{{n+1}\choose k}B_k =0$

Published on 07 Apr 2013 - 0:58

List Question

How can I solve this nice rational equation

Checkers Board Problem

How many positive integers from set $\{1,2...,10^{30}\}$ can't be represented as 2nd, 3rd, or 5th power of some positive integer?

Find m. $y=e^{mx},m\in\mathbb R,\frac{d^2y}{dx^2}-3\frac{dy}{dx}-4y=0$

Favourite problem books at university level

Special Numbers

Problem: Using Cauchy's integral formula show...

Chessboard and Catalan numbers

Solving linear matrix equations of the form $X = AXA^T + C$

system of equations with three equations.

Python numerical solution for a nonlinear second order ODE with two boundary conditions

Show that the equation $\cos(\sin x)=\sin(\cos x)$ has no real solutions.

Probability that a stick randomly broken in five places can form a tetrahedron

Showing that $f$ is analytic in $\mathbb{R}$

Showing that $B_0=1$ and that $\sum^n_{k=0}{{n+1}\choose k}B_k =0$

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