How Do You Solve Complex Hyperbolic and Trigonometric Systems of Equations?

[marika]

Please, have a look on this weird system of equations:

a*(sinh(x)-sin(x))+b*(cosh(x)-cos(x))=c*(sinh(y)+sin(y))+d*(cosh(y)+cos(y))

b*(sinh(x)+sin(x))+a*(cosh(x)-cos(x))=-d*(sinh(y)-sin(y))-c*(cosh(y)+cos(y))

a*(sinh(x)+sin(x))+b*(cosh(x)+cos(x))=c*(sinh(y)-sin(y))+d*(cosh(y)-cos(y))

b*(sinh(x)-sin(x))+a*(cosh(x)+cos(x))+d*(sinh(y)+sin(y))+c*(cosh(y)-cos(y))+r*t*[ a*(sinh(x)-sin(x))+b*(cosh(x)-cos(x))]=0

Does anyone knows how to find a, b, c, d?
x, y, r, t are defined variables.

I will be very grateful for any hints!

 

[lippyka]

Unfortunately, the system of equations you have provided is not solvable. There are not enough equations to determine the values of a, b, c and d. You will need to add more equations with known variables in order to solve the system.