Recent content by Totalderiv

Any one?

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...

Any one?

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...

So it would be; y=zx y'= z+xz' z+xz' =\frac {1-z}{1+z} How do I isolate the z's and x's in order to integrate?

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...

This has been said many times on this forum, but math is extremely interesting when you move past Calculus. However, math becomes extremely difficult to understand if you don't train yourself to get out of the "computational" mode that high school and basic college math courses teach you. Once...

Try using the identity: \int \frac {du}{a^2 + u^2} = \frac{1}{a}arctan\frac{u}{a} +c

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...

The only way you could prove that you have the knowledge is to test out of the course via CLEP, AP, or DSST. But, these are only limited to high school and basic college courses. Colleges won't let you test out of a higher-level course because you proclaim that you self-studied it.

With this logic you're going to be living just above the poverty line in any of those countries. You must account for the cost of living standards, goods, and services when you move to another country. Self-study isn't worth anything to an university or a college if you can't prove that you...

The vector of \left|u \times v\right| = \left|\begin{array}{cc}i & j & k\\u_1 & u_2 & u_3\\v_1 & v_2 &v_3\end{array}\right|Then substitute in u for i,j,k because you're trying to prove that the vector \left|u \times v\right| is orthogonal to both u and v. Then simplify and distribute.

Before you start studying Calculus you may want to brush up on Algebra, Geometry, and Trigonometry because your knowledge in these classes will be important when you take Calculus. Not to be harsh, but if you got a B- in Algebra then you may want to rethink this decision because you're far from...

A nice trick for these types of problems would be to divide everything by x; \lim_{x\rightarrow\infty} \frac{x/x}{(x/x)-(9/x)} Then simplify and you should be able to figure it out from there

Did you feel like you were rushing through the exam? Try to slow down when reading the questions and prepare yourself with sample questions the night before. In my math classes it seems like I'm the only one who is not anxious or nervous at all on the day of mid-terms/finals, try to relax...