Calculate values for a variable of an implicit function

Hi,

I am new at Matlab and I'm trying to extract values of variable y in the given implicit function when I feed it with different values for the parameters : f , r , a.

For example f=0.2 r=0.41 a=0.08

The function is : a=atan(-f*y/(f^2+(1-r)^2-y^2/4)) .

I tried the fzero but it doesn't work probably because I'm not using it correctly.

I would really appreciate any kind of help.

Thanks in advance.

PS.

Answer 1

[Devineni Aslesha]

Hi Plato

To calculate the values for a variable of an implicit function, use the below code.

f=0.2;
r=0.41;
a=0.08;
syms y
eqn = a - atan(-f*y/(f^2+(1-r)^2-y^2/4)) == 0;
yVal = vpasolve(eqn,y);

For more information, refer the following link.

https://www.mathworks.com/help/symbolic/vpasolve.html