Go to  www.hawkeslearning.com and take your test.  The passw…

Go to  www.hawkeslearning.com and take your test.  The password you will need to access the test on Hawkes is “184737”. It will open in a new window.  When you finish the test on Hawkes, come back to the Canvas page and answer Question 1. This will stop the test and close Proctorio. 

Consider the boundary value problem  { t u t = u…

Consider the boundary value problem  { t u t = u x x + 2 u , 0 0 u ( π , t ) = 0 , t > 0 . {“version”:”1.1″,”math”:”\left\{\begin{aligned} t u_t &= u_{xx} + 2u, \quad 0 < x < \pi,\ t > 0 \\ u(0,t) &=0,\quad t > 0 \\ u(\pi,t) &= 0,\quad t > 0 .\end{aligned} \right.”} Part (a) [10 pts]: Use separation of variables to find ALL the nonzero solutions to the problem and write them in the corresponding answer box in the Solution Sheet. Show that there are an infinite number of solutions from part (a) that also satisfy the initial condition u(x,0)=0, 0