# Search results

1. ### Complex Eigenvalues

Homework Statement Apply the eigenvalue method to find a general solution of the given system. x_1' = 5x_1 - 9x_2 x_2' = 2x_1 - x_2 Homework Equations (A-λI)v=0 The Attempt at a Solution x_1' = 5x_1 - 9x_2 x_2' = 2x_1 - x_2 \left[ \begin{array}{cc} 5-λ & -9\\ 2 & -1-λ...
2. ### Matrices and Linear Systems

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...
3. ### Find a general solution of the differential equation

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...
4. ### Diff Eq- Nonhomogeneous Equations

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...
5. ### Programs Spring Classes (Freshman Math Major): Too much?

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...
6. ### Solving Trig Integrals help!

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...
7. ### Programs New Math Major scheduling help!

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?
8. ### Weird Integral Problem

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.
9. ### Calculators TI 89 Problem

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?
10. ### Calculus 2 and 3

Hey, I'm wondering if any one knows of great self-study books on Calc 2 and 3 that give many examples and questions. Thanks
11. ### Calculus 2 and 3

Hey, does any one know good books that make it easy to self-teach Calc 2 and 3? Thanks
12. ### Programs Math Major or Physics Major?

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...
13. ### SUNY Stony Brook

Can any one give some first hand experience or knowledge of the undergrad physics program? How is the program?
14. ### Hydrostatic Equilibrium in General Relativity

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...
15. ### Hydrostatic Equilibrium in General Relativity

What am I doing wrong?
16. ### Illinois Institute of Technology Undergrad Physics Program questions

Hey, I was wondering if any one on this forum has gone to Illinois Tech for Physics, or has visited there. How's the physics program there?