Homework Statement
Is this a subspace of R^4, (2x+3y, x, 0 , 1) . Give reasons
Homework Equations
The Attempt at a Solution
I am completely stuck at this one
Thanks for your reply, but i am still confused? what to do you mean when you ask " What are x" and y" in this case". So let me get this straight, when you prove it the way you did, as long as the form doesn't change then that means it's a subset. For the basis, are both of those columns form...
Homework Statement
consider R^4. Let V be the set of vectors in the form ( 2x+3y, x, 0 , -x+2x) is this a subspace
of R^4 and why? find a basis if it's possible
Homework Equations
The Attempt at a Solution
I know that the set must work under scalar multiplication and vector...
Ho chiro,
I used separtion of variable to get: dx/x(x-100)=dt/10000
integrated both side, used PFD for left side:
1/100 ln(x-100)-1/100 ln(x)= 1/10000 *t +c
now what? how do i solve this for x?
This has been posted before but i didn't understand the answer
Suppose the number x(t) (with t in months) of alligators in a swamp satisfies the differential equation
dp/dt = 0.0001x^2 - 0.01x
(a) If there are initially 25 alligators in the swamp, solve this differential equation to...