Recent content by FHamster

Homework Statement Calculate the kernel of https://webwork3.math.ucsb.edu/webwork2_files/tmp/equations/f7/04b646ac1797cdf54f4a373ce5ef431.png Since T is a linear transformation on a vector space of functions, your kernel will have a basis of functions. Give a basis for the kernel, you...

Homework Statement Find the steady-state solution having the form https://webwork3.math.ucsb.edu/webwork2_files/tmp/equations/e1/348e8eb8a4ddf62dd06b46276196e71.png for the damped system x'' + x' + x = 2cos(3t) Homework Equations Acos3t + bsin3t The Attempt at a Solution To be...

It was very helpful. Thank you.

weaboonese I mean I derped

derp

Homework Statement y'' + y' = 4t Homework Equations Use Variation of parameters! The Attempt at a Solution So I get homo of: c1 + c2 e^-(t) From there I get a Wronskian of -e^(-t) Then I get variations 2t^2 and -4e^t(t-1) Then get the answer of 2t^2 + 4t - 4 Btu...

Thanks, following some of these guidelines and doing some recalcumacations. I managed to get it right Hamsters are the masterrace.

So the equation is x'' + 10x' + 64x = 0 x(0) = 1 x'(0) = 0 I get general solution of e^(-5t)(c1*cos(6.245t) + c2sin(6.245t) ) From there I get e^(-5t)cos(6.245t)+5e^(-5t)sin(6.245t) but it wrong. What the gerbils am I doing wrong? Thanks