Yes, the question states use the power series method to solve the differential equation (1-x^2)y'' - 2xy' + 12y = 0 note that you will have to break off the x^0 and x^1 terms. the general recursion relation will involve only c_k+2 and c_k. one solution is a polynomial (all coefficients beyond a certain point are zero). find that solution exactly (give all nonzero terms) and find the first four nonzero terms of the other solution. your solutions will be in terms arbitrary constants c_0 and c_1.

Which of the following is an easy way to remember the modified “x” tire rotation? a. nondrive wheels straight, cross the drive wheels b. drive wheels straight, cross the nondrive wheels c. drive wheels crossed, nondrive wheels straight d. drive wheels crossed, nondrive wheels crossed

The filament of an incandescent lamp has a temperature of 2000k. calculate the fraction of radiation emitted in the visible light band if the filament is approximated as blackbody

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.