Is the Highlighted Portion a Mistake and Where Does the PI Go?

  • Thread starter Thread starter Turion
  • Start date Start date
  • Tags Tags
    Mistake
Turion
Messages
145
Reaction score
2
The highlighted in yellow is a mistake, right? I might be going insane.

Where does the PI go?
 

Attachments

  • Selection_001.png
    Selection_001.png
    17.9 KB · Views: 490
Physics news on Phys.org
\cos(4(t+\pi)) = \cos(4t+4\pi) = \cos(4t)
 
Remember, sin and cos are periodic functions with period 2k*pi, k = integer.
 
@Office_Shredder: Opps. Nice catch.

@SteamKing: Isn't the period 2pi/k where k is the coefficient of t?
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

A Solve the heat equation having Dirichlet boundary conditions
Replies
3
Views
3K
Did my textbook make a mistake when writing these units?
Replies
5
Views
740
Where Did I Go Wrong in Solving for the Boat's Entry Time?
Replies
8
Views
1K
A Green's function for Stokes equation
Replies
1
Views
2K
A How to get a converging solution for a second order PDE?
Replies
3
Views
2K
B Solving equations but getting an identity - what mistakes were made?
Replies
4
Views
814
How to Factor Vapor Retarders into Relative Humidity & thus Mold Risk
Replies
3
Views
1K
Most probable velocity from Maxwell-Boltzmann distribution
Replies
5
Views
146
I Where is the mistake in this derivation of Length Contraction?
Replies
9
Views
964
A Unraveling the Confusion: Mistakes in Solving PDEs in Spherical Coordinates?
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top