y +4y' +4y=e-t Solve for the general solution. -21 -21 y=C+ce- +2te -2t -2t y=Ce+ Cte...
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y" +4y' +4y=e-²t Solve for the general solution. -21 -21 y=C₁е¯²¹+c₂e-²¹ +2te -2t -2t y=C₁e¯²¹+ C₂te v=c₁e²¹+c₂e-²1 -20 -21 y=C₁е-²¹ +₂te¯²¹ +2t²e-²1 -21 y=c₁e + C₂te 4 ܐ -21 + -21 1 -t²e-2t y" +4y' +4y=e-²t Solve for the general solution. -21 -21 y=C₁е¯²¹+c₂e-²¹ +2te -2t -2t y=C₁e¯²¹+ C₂te v=c₁e²¹+c₂e-²1 -20 -21 y=C₁е-²¹ +₂te¯²¹ +2t²e-²1 -21 y=c₁e + C₂te 4 ܐ -21 + -21 1 -t²e-2t
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