Sorry for the late reply, yes I made a bad mistake with respect to the characteristic equation . I got it now though thanks!
Edit: I misunderstood the "hint" on the assignment. Every second order DE of this form, will have that solution given a single root.
Homework Statement
Find the solution to :y''+2y'+y=t
Homework Equations
Suppose y(t)=B1t2+B2t+B3
And I believe, Y(t)=Yh+Yp. That is the solution is equal to the solution to the homogenous equation, plus the particular solution.
The Attempt at a Solution
First Solve the...
I graphed F(x) and it looked to be increasing on a certain interval, however when graphing F'(x) it is certainly negative everywhere it is defined.
So it ok to say the function is decreasing everywhere it is defined?
Homework Statement
F(x)=6/x-(1/1-x)
Find the intervals on which the function is increasing/decreasing?
Homework Equations
F(x)=6/x-(1/1-x)
F'(x)= -6/x^2 -1/(1-x)^2
The Attempt at a Solution
Critical points are x=0 and x=1
Function has a discontinuitiy at 0...