- #1
piano.lisa
- 34
- 0
I have to find the orthogonal trajectory to the family of circles tangents to the x-axis.
I eventually found that the derivative of the orthogonal trajectory would be:
[tex]\frac{dy}{dx}= \frac{-x^2 + y^2}{2xy} [/tex]
But how do i find the equation for "y" explicitly? (ps. This is not an assignment problem. I'm simply solving problems to get ready for my test)
ps#2: I recently discovered that this may be a solvable differential equation. Perhaps Bernoulli?
I eventually found that the derivative of the orthogonal trajectory would be:
[tex]\frac{dy}{dx}= \frac{-x^2 + y^2}{2xy} [/tex]
But how do i find the equation for "y" explicitly? (ps. This is not an assignment problem. I'm simply solving problems to get ready for my test)
ps#2: I recently discovered that this may be a solvable differential equation. Perhaps Bernoulli?