I have a problem understanding how to define a linear or non-linear Differential equation. These are my answers to the questions, however, my teacher'...

I am working on a homework problem that asks the following: "Find an expression for the general term of each of the series below. Use $n$ as your index, a...

I need to find a CFG where the word length $|w|$ is odd. Plus there must be a $0$ in the middle. In a previous exercise I had to specify a CFG only for od...

System of the equations: Equation 1: $$-360 = -6x + x^2 - 40y + y^2 - 20z + z^2$$ Equation 2: $$-600 = -40x + x^2 - 30y + y^2 - 100z + z^2$$ Equation 3: $...

I was trying to find papers and articles about non-contractive continuous projections on $\ell_1(S)$ where $S$ is an arbitrary set. If it is not studied y...

I'm reading a Calculus book for my own edification and at the beginning the pre-calculus introduction has the problem, $3x+y=7$ They talk about solvi...

I am having trouble proving the Cauchy-Binet Theorem. I jotted down how far I got in the proof, but I just find myself stuck. Any guidance would be greatl...

I've been trying to integrate that function, but it looks like I'm missing something, so can any one please show me how to integrate $e^\sqrt{x}...

Let $s>1, s\in\mathbb{R}$, and let $f$ be a function defined by $$f(x)=\frac{ln(x)}{x^s}, x>0$$ Determine the monotone intervals of $f$. I note that...

I'm trying to calculate the distance of a certain point of an ellipse to the centre of that ellipse: The blue things are known: The lengths of the ho...