How can I simplify this implicit equation to an explicit equation:
Tan[5 y/12] - (7 y/((x)^2 + (y)^2 - (3.5)^2)) == 0
i.e: $y=f(x)$ where $y$ is a explicit function of $x$
How can I simplify this implicit equation to an explicit equation:
Tan[5 y/12] - (7 y/((x)^2 + (y)^2 - (3.5)^2)) == 0
i.e: $y=f(x)$ where $y$ is a explicit function of $x$
You can try with Solve
, it will not give you $y(x)$ for that function, but you can get $x(y)$
Solve[-((7 y)/(-12.25 + x^2 + y^2)) + Tan[(5 y)/12] == 0, x]
{{x -> -0.5 Sqrt[49. - 4. y^2 + 28. y Cot[0.416667 y]]}, {x -> 0.5 Sqrt[49. - 4. y^2 + 28. y Cot[0.416667 y]]}}
Plot[Evaluate[x /. %], {y, -2 Pi, 2 Pi}]
InverseFunction
to the solutions.
$\endgroup$
Oct 26, 2014 at 21:13