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Differential Equations 22. Solve each of the following systems of equations. (c) (D-2)x=0; -3x+(D+2)y=0; -2y+(D-3)z=0 I got x=c1e2t,...

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Advance Math

Differential Equations

22. Solve each of the following systems of equations.

(c) (D-2)x=0; -3x+(D+2)y=0; -2y+(D-3)z=0

I got x=c1e2t, y= 3/4C1e2t + C2e-2t by usingdiffieq method d/dx(ye2t) =3C1e2t....., but the right answer is

x=4c1e2t, y= 3C1e2t+ 5C2e-2t , z= -6C1e2t-2C2e-2t+C3e3t

I want to know where 4 came from, and please do not use matrixsystem.

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