For each family of curves equipotentials compute the

Question

For each family of curves (equipotentials) compute the orthogonal family (flux lines). Sketch both families.

1. x² = c(t + x).

2. x = t c.

3. x = (t + c)3.

4. x = t² + c.

5. x³(t + 1) = c.

6. t = (x - c)².

7. x = ect .

8. x = tan(t + c).

9. t₁/5 + x₁/5 = c.

10. x = c cost.

11. x = cost + c.

12. x = ct².

13. ex - et = c.

14. x³ + t² = c.

15. tan x + tan t = c.