Recent content by Mike86

Thanks for the replies! :) I have obtained values of: a = 1 and b=2. Only problem is I can't make the connection between the properties of the Laplace Transformations and my tables. I've been playing around and looking for an hour or so but I've been stumped!

Homework Statement Consider the initial value problem: x'' + 2x' + 5x = δ(t - 1); with: x(0) = 0 and x'(0) = 0. Using Laplace transforms, solve the initial value problem for x(t). Homework Equations L[x''] = (s^2)*L[x] - s*x(0) - x'(0) L[x'] = s*L[x] - x(0) L[δ(t - 1)] = e^(-s)...

Any ideas? Still stuck on this one :( Thanks!

Thank you so much for that! The other critical point is at (-1, 1). I totally overlooked that one. I have found an example about non-linear ordinary ODE's and for the point (0,0) they have used the same approach. I have found the Jacobi matrix for (1,1) and (-1,1), being [2, -2; 2, -1] and...

Homework Statement dx/dt = x - y + (x^2) - xy dy/dt = -y + (x^2) - Determine the critical points for the equation, - Determine the linearized system for each critical point and discuss whether it can be used to approximate the behaviour of the non-linear system. What is the type and...