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From MathHelpWiki

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 given)

I will be very grateful for any hints!