Unique Solution

Consider the system of linear equations: $Ax = b$, where $A$ is an $n \times n$ matrix, and $x$ and $b$ are $n$-dimensional column vectors. Suppose this system of equations has a u...

Consider the differential equation $(t^2-81)\frac{dy}{dt}+5t y = \sin(t)$ with $y(1) = 2\pi$. There exists a unique solution for this differential equation when $t$ belongs to the...