Homework Statement
Question: 18. Show that every 2 x 2 stochastic matrix has at least one steady-state vector. Any such matrix can be written as
P = |1-a b |
| a 1-b |
where a and b are constants between 0 and 1. (There are two linearly independent steady-state...
Not sure if this is "beyond" Calculus but the prereq for the class was Calc II so I thought i'd post here.
Homework Statement
Could a set of n vectors in Rm span all of Rm?
Homework Equations
None
The Attempt at a Solution
Hmm really stuck at this one. I think that it should be...
Repost with attachment ><
1. Homework Statement
dy/dt + ty/(1+t^2) = t/(1+t^2)^1/2 y(1) = 2
Need to solve this initial value problem. The equation is a 1st order ODE
2. Homework Equations
3. The Attempt at a Solution
I've attached my solution to the problem. Just...
Homework Statement
dy/dt + ty/(1+t^2) = t/(1+t^2)^1/2 y(1) = 2
Need to solve this initial value problem. The equation is a 1st order ODE
Homework Equations
The Attempt at a Solution
I've attached my solution to the problem. Just wondering if anyone can check my work. I...
Thats where i am running into some problems defender. I solved for y' and i got 2t+e^(t^2) was wondering if someone can check that. But also do I have to solve the integral in y before I can plug it back into the original DE? Those are the step that I am taking so far but I am having trouble...
Oh my bad here is the problem:
Verify that each given function is a solution of the differential equation. So I was assuming to solve for y' and plug it into the initial equation and check to see if the condition equals 1.
Help with Integration :(
Ok guys I've been trying to solve this problem for a couple of days but no luck :( Please help me out! I think I have part of it done.
I've added the problem as an attachment wasn't sure how to type it up properly. But when i solve for y' i get the answer 2t+e^(t^2)...