pasmith's latest activity

One can always resort to the Newton-Raphson method to solve ##\mathbf{f}(\mathbf{x}) = \nabla L = 0## by iteration, where each step...

If $$L = (y_1(x_1) - y_2(x_2))^2 + (x_1 - x_2)^2$$ then the partial derivatives are $$\begin{split} \frac{\partial L}{\partial x_1} &=...

This question seems poorly designed, in that part (i) has absolutely nothing to do with part (ii).

Thinking about it more closely, we want ##c_1y_1 + c_2y_2## to be a particular solution. But we're happy if it's only determined up to a...

I think you have an error in the algebra. Substituting the ansatz and condition into the ODE, we should find $$\begin{split}...