Need help with differential equation problem--the snowplow problem.?

This is a famous problem. A girl from Alaska I used to like asked me in email over a decade ago. I asked one of our math professors to solve it, then I emailed her back to impress, lol. Here is a similar one with full solution, note step 2 there: a href="http://course1.winona.edu/ksuman/Courses/Fall%202009/Calculus%20II/Notes/Section%209.3/Snow%20Plow%20Problem.pdf" rel="nofollow"http://course1.winona.edu/ksuman/Courses…/a