Recent content by jackalope1234

Homework Statement Evaluate Integral y^2 dx + (xy - x^2) dy over the given path C (0,0) to (2,4) the polygonal path (0,0), (2,0), (2,4) (All one question) Homework Equations integral of h (dot product) dr over C The Attempt at a Solution I realize I have to parametrize the...

-2/4 + or - sqrt(4)i/4 is the answer I got after reviewing those pages. Also wondering if you have a good page on complex differentiation and integrating?

so something like -2/4 + isqrt(4)/4 and -2/4 - isqrt(4)/4 I have a similar problem when I am doing variation of parameter using this same one as I have to use the Wronskian method which I don't know if it would work.

sorry that I misplaced the 2 the equation should read 2m^2 + 2m + 1

can I leave a negative within the squareroot sign and that would give me my m1 and m2? I'm also just worried about this for later on I can see it getting very messing when i Have to differentiate and integrate these for the other questions in my homework.

Homework Statement y'' + 2y' +y = 5e^6x use undetermined coefficients to solve this equation. Homework Equations The Attempt at a Solution what I would normally do is m^2 + 2m + 1 = 0 but then I get stuck I can't find the general equation as this won't factor. I tried...

I assumed "general rule: (ABC)' = A'BC + AB'C + ABC' " would be the method thank you for confirming. thank you for the welcome, maybe this forum will pull me away from starcraft 2 :D.

Homework Statement I need to differentiate uxe^-x in order to do a reduction order question. Homework Equations d/dxf(x)g(x) = f(x)g'(x) + g(x)f'(x) <--- that's the product rule about 2 variable The Attempt at a Solution I would assume y' = -uxe^-x + u'xe^-x I was told...