Solve the differential equation y^ prime (t)=2y^ 2 t-18t given y(0) = 6 using the separation of variables technique.

5. (8 points) Evaluate x tan r dr. 6. (8 points) Solve the differential equation y'(t) = 2yet - 18t given y(0) = 6 using the separation of variables technique. 7. (10 points) A projectile is launched into the air with initial velocity vo m/s from ground at an angle of 0 relative to horizontal. The coordinates of the projectile, (r, y), relative to the launch point (that is, the launch point is