Recent content by wowmaths

Homework Statement Find an integrating factor for the first order linear differential equation \frac{dy}{dx} - \frac{y}{x} = xe^{2x} and hence find its general solution Homework Equations The Attempt at a Solution I found the integrating factor which is e^{-lnx} = x^{-1} and...

Thanks a lot for the welcome and the help. Greatly appreciated. Just a question: For both the equations: fx = 27*y*x^2 + 3*y^3 -16*y = 0 and fy = 9*x^3 + 9*x*y^2 - 16*x = 0 Am I supposed to solve both equations simultaneously to find the stationary points? I tried using a calculator...

Homework Statement f(x,y) = xy(9x^2 + 3y^2 -16) Find the critical points of the function and their nature (local maximum, local minimum or saddle) Homework Equations The Attempt at a Solution I have partially differentiated the equation into: fx = 27yx^2* + 3y^3 -16y fy =...