Find the general solution of the differential equation x^2y′′+xy′−y=2x for x> 0 by first showing that the function yp=−12x+x ln(x)is a particular solution for the differential equation.

"you know, playing tennis is healthier than watching a tennis match on television," katya remarked to her couch potato brother. in this sentence, healthier is a/an a. superlative. b. comparative. c. positive form. d. adverb.

Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?

Could someone me with this question i’ve been stuck on it for 20 minutes