fsolve Practice

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The complex$-$number notation of the vector loop equation for four$-$bar crank$-$rocker linkages is given below.

$a{e}^{j{}_2}+b{e}^{j{}_3}-c{e}^{j{}_4}-d{e}^{j{}_1}=0$

The input of this equation is ${}_2,$ and the value of ${}_1=0$ is constant. The goal is to compute the two uknowns $({}_3$ and ${}_4).$

To generate the two equations needed to solve for the two unknowns, we need to set the "real" and "imaginary" components of the equation above to zero. To do that analytically, we use Euler's identity equation