For the equation y = c1*m sin( c2*xt - c3*mt + 2*c4*x ).The dimension of c1 is:
"y = c_1m sin( c_2xt - c_3mt + 2c_4x )"
As "c_1,c_2,c_3 \\text{ and } c_4" are constant so They are dimmensionless.i.e. "[M^oL^oT^o]"
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