Recent content by andrewdavid

Ok I got -3s/((s-3)^2)+4 + 20/((s-3)^2)+4) after completing the square and splitting up the fraction.

I figured it out, thanks a lot for your help, I was just being dumb.

I have this laplace transform that I need to solve: y''-6y'+13y=0 y'(0)=2 y(0)=-3 I figured out my Y(s)=(-3s+20)/(s^2-6s+12). All I need to do is take the inverse laplace of this but I can't figure it. I know I need to split it into two fractions, but after that I'm lost. I'd appreciate...

I got my homogenous equation x''+(w^2)x=0 but I can't find my roots with that w^2 in there.

(d^2x/dt^2)+(w^2)x=Fsin(wt), x(0)=0,x'(0)=0 Hope that's readable. First part is second derivative of x with respect to t. w is a constant and F is a constant. I need to find a solution to this using method of undetermined coeffecients and I'm confused with all the different variables. Anyone...

I have x(t)=t(1-t) and y(t)=t(1-t^2). As t goes from 0 to 1 in forms a loop and I need to know the point where the tangent line is vertical. I know this must be easy but I'm clueless right now. Any help?

Hi, I'm doing a project which involves parametric curves that I have to present to a class. Basically, I'm completely exercises and I know that most computer-aided design works with parametric curves, specifically Bezier curves. For the project, I'd like to draw something in CAD or whatever and...

I have this intial value problem: y''-4y'-5y=0, y(1)=0, y'(1)=2. My AUX equation is r^2-4r-5=0. I factor and get r=5, r=-1 and my equation becomes y(x)=C1e^(5x)+C2e^(-1x) (C1 and C2 are constants). I took the derivative of y(x) and then tried to use my initial value's to solve for C1 and C2. I...

I have this population differential equation dP/dt=k1(P)-k2(P) where k1 and k2 are proportionality constants. I need to integrate and analyze where k1>k2, k1=k2, and k1<k2. Trouble is, I don't think I'm integrating this right. I get P=e^(t+C)(k1-k2). I know this should be easy but I don't think...

Here is the differential equation I have: dy/dx=x(1-y^2)^(1/2) . I'm supposed to find a singular solution to that equation but I'm really not sure how to figure it out. I can separate and integrate it, but then what is the singular solution?