Recent content by alexis36

Homework Statement I have this equation: integrate: dN/(4-2N) Homework Equations The Attempt at a Solution I am understanding that the dN part just goes away and comes one on the top of the fraction. Then on the bottom, I am still left with 4-2N. I am simply saying that it is...

So partial fractions is the way to go I think.. I have A/(x-3) + B/(x-2) = )A(x-2)+B(x-3))/(x-2)(x-3) Ive solved for A and B and I got 1 for each of them. Now I need to go and integrate 1/(x-2) and 1/(x-3) right? and set that equal to (t+c) and then solve the autonomous equation as i...

Okay.. I've solved the question up to a certain point. (I've decided that it's do-able without partial practions..) however; now I am stuck on an integration: i might find the integral of 1/(x^2-5x+6) and now I am not sure if i use substituion, integration by parts, or bring the bottom...

thank you!

Homework Statement I am asked to find all the values of "b" for which the following system has a nontrivial (i.e non-zero solution). Homework Equations bx1 - bx3 = 0 x1 + (b+1)x2 + 2x3 = 0 bx1 + (2b+2) x2 = 0 The Attempt at a Solution I know that I am needing to solve for the...

Homework Statement Integrate the following: Homework Equations tln(t)dt The Attempt at a Solution if i do intergration by parts: u=t u'=1 v'=ln(t) v=1/x and then use the formule, would that give me a correct answer? Is there a simpler way?

Homework Statement Integration of 1/(x^2-5x+6) Homework Equations The Attempt at a Solution I know i cannot do ln|x^2-5x+6| I've tried some form of substitution or intergration by parts, and they don't work. Should I factor the bottom?

Homework Statement The question is discussing the growth rate of a tumor as it decreases in size (called the Gompertz equation: I am needing so SOLVE THE SEPERABLE DIFFERENTIAL EQUATION. Homework Equations dx/dt = f(t)g(x) =(e^-t)(x(t)) x(o)=1 The Attempt at a Solution 1. I...