1. Other
  2. Other
  3. 6 determine whether the relation 12tanr 2y 7...

Question: 6 determine whether the relation 12tanr 2y 7...

Question details

6. Determine whether the relation. 12-tan(r + 2y) = 7, is an implicit solution to the differential equation + sin(+2y)0 7. Verify that ry cy*1, where c is an arbitrary non-zero constant, are implicit dyy2 d 3ry-4 solutions to- 8. Check that the function f(z) = cı sin(4x) + c2 cos(41) is a solution to 0 for any constants cl and c2. Determine the values of c1 and c2 so that the conditions +16y dz2 y(T/8) 2, y(3T/8)2 are satisfied. 9. Determine whether the Existence and Uniqueness Theorem implies that the initial value problem (1-1)dr + ln(y+1)-er. V4-y, y(2) = 3 has a unique solution. 10. Determine whether the Existence and Uniqueness Theorem implies that the initial value problem dy-624VE + sin(2x)-tan(3y), y(0) 0 has a unique solution. dr (For 9. and 10. you should be detailing ALL continuity/discontinuity of F and OF/ay.)

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution