solve the following initial value problem (ode):
a) y" + 4y = -2 , y(pi/8) = 1/2 , y'(pi/8) = 2
b)5y" + y' = -6x , y(0) = 0 , y'(0) = -10
c) 2y" + 3y' - 2y = 14x^2 - 4x - 11 , y(0) =0 , y'(0) = 0
show all steps.

Sal is tiling his entryway. the floor plan is drawn on a unit grid. each unit length represents 1 foot. tile costs $1.35 per square foot. how much will sal pay to tile his entryway? round your answer to the nearest cent.

You are measuring the dimensions of the floor in your bedroom because you are planning to buy new carpet. which unit of measure is the most appropriate to use in this situation?

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years