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...

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=c₁e^2t, y= 3/4 C₁e^2t + C₂e^-2t by using diffieq method d/dx(ye^2t) = 3C₁e^2t....., but the right answer is

x=4c₁e^2t, y= 3C₁e^2t + 5C₂e^-2t , z= -6C₁e^2t -2C₂e^-2t+C3e^3t

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

Expert Solution

Colby Messinger answered 11 months ago

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