Solve three challenging differential geometry problems in this detailed tutorial. Explore the rational parametrization of the cissoid, parametrize the conic x^2-4xy-2y^2=3, and find the evolute of the curve y=x^n for a general n. Follow along as the instructor provides step-by-step solutions, offering valuable insights into problem-solving techniques in differential geometry. Note that while there is a minor error in a diagram placement around the 14-minute mark, it does not affect the algebraic discussion. Gain a deeper understanding of these complex concepts and enhance your problem-solving skills in differential geometry through this comprehensive walkthrough.