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Find the value of the number LaTeX: a a such that the families of curves LaTeX: y=\left(x+c\right)^{-1} y = ( x + c ) − 1 and LaTeX: y\:=\:a\le​ft(x\:+\:k​\right)^{\​frac{1}{3}​} y = a ( x + k ) 1 3 are orthogonal trajectories.

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Mauricio Alvarez
Mauricio Alvarez on 14 Sep 2020
Answered: Pranav Verma on 17 Sep 2020
Find the value of the number a such that the families of curves y=(x+c)−1and y=a(x+k)13 are orthogonal trajectories.
im trying to write htis on matlab to have it solved can you help me

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Pranav Verma
Pranav Verma on 17 Sep 2020
Hi Mauricio,
As per my understanding, you intend to solve the above mentioned system of equations pertaining to the specified condition of trajectories being orthogonal. I'd suggest using the diff and solve function in MATLAB for achieving the above task.
Please refer to syms documentation also to use diff and solve.
Also refer to the below discussions on the same lines:
Thanks

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