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 =...