Homework Statement
Write the given system in the form x'=P(t)x + f(t)
x'=-3y , y'=3x
Homework Equations
x'=P(t)x + f(t)
x(t)=c_1x_1(t)+c_2x_2(t)+...+c_nx_n(t)
The Attempt at a Solution
I have no idea how to start this since my teacher never covered this in our notes and the book...
Homework Statement
Find a general solution of the differential equation.
(x+y)y' = x-y
Homework Equations
v=x+y
y=v-x
y'=v'-1
The Attempt at a Solution
So if I plug this back into the original equation;
v(v'-1)= x-y
How do I convert v=x+y into x-y so that I have only v's...
Homework Statement
Find a particular solution of the given equation.
y^''' + 4y^' = 3x-1
Homework Equations
r^3 + 4r = 0
r = 0, r = 2i, r = -2i
The Attempt at a Solution
y(x) = Ax-B
y^'(x) = A
y^''(x) = 0
y^'''(x) = 0
The answer is:
y(x)=(3/8)x^2 - (1/4)x
But I'm not...
Hey I'm currently a freshman math major and just registered for my spring classes. When I went to my adviser, she thought I was insane for taking three math classes at one time. Am I insane?
Schedule:
-College Calculus 3
-Introduction to Differential Equations
-Introduction to Linear...
Homework Statement
\int cos^6(x)
Homework Equations
1 = sin^2(x) + cos^2(x)
The Attempt at a Solution
\int cos(x) * cos^5(x)
\int cos(x) * (cos^2(x))^3
\int cos(x) * (1-sin^2(x))^3
This is where I got lost, we just started this topic and I have a lot of homework to do...
Hey I'm currently headed off to University at Buffalo this fall for math and I'm stuck on scheduling. So far I know I'm talking Calculus II, but I'm not sure what else to take. What classes should I take as a freshman math major?
Homework Statement
\int (x+8)/(x+4)
Homework Equations
N/a
The Attempt at a Solution
I tried to split the problem which resulted in:
\int x/(x+4) + \int 8/(x+4)
But now I'm stuck,and this is a bonus question on my AP Calculus homework.
I just bought a brand new TI89 and the second I turn it on I go to Home. I press F1 to go to tools and the Open and New functions are fuzzy. It won't allow me to use those functions either. This is happening all over the place as I looked throughout the calculator.
Any ideas?
Hey I'm sort of in a predicament at the moment, since I'm not sure what to major in. Physics has always been my passion as well as math. But, my current Physics class (high school) is making me wonder if I can put up with doing everything the professors way. I'm having a hard time with my...
Homework Statement
Finding the TOV equation of Hydrostatic Equilibrium in General Relativity
Homework Equations
The Attempt at a Solution
For the above questions, I've scanned in my work...so that might help instead of typing it on the computer...
Hello,
I'm currently a junior in high school looking for the best undergrad physics program based off of my grades. Just to give you an idea:
GPA:
Unweighted: 3.3-3.5
Weighted:Not sure
Extracurriculars: Did some research with Physics teacher, and some research with Math teacher...
Background info: Hello PhysicsForums, I'm currently a high school student in calculus and physics. I've been teaching myself Astrophysics by using the books Stellar Structure and Evolution by Springer-Verlag and Principles of Stellar Evolution and Nucleosynthesis by Clayton. I realize these are...
Hello, I need some help figuring out my college plan as an undergraduate. I'm looking at applying to Ohio State University, University of Arizona, and Penn State University. I'm looking to do astrophysics, but most of them don't have it,so I'm looking to double major as physics and astronomy...
Need some help deciding!!
Hello, I need some help figuring out my college plan as an undergraduate. I'm looking at applying to OSU, University of Michigan, University of Maryland, and University of Chicago. I'm looking to do astrophysics, but most of them don't have it. Would it be easier to...