13, 16, 19 show work plzz In Problems 13 through 20, a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions. 13. y(3)+2y???y??2y=0;y(0)=1,y?(0)=2,y??(0)=0; y1?=ex,y2?=e?x,y3?=e?2x 14. y(3)?6y??+11y??6y=0;y(0)=0,y?(0)=0, y??(0)=3;y1?=ex,y2?=e2x,

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13, 16, 19 show work plzz In Problems 13 through 20, a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions. 13. y(3)+2y???y??2y=0;y(0)=1,y?(0)=2,y??(0)=0; y1?=ex,y2?=e?x,y3?=e?2x 14. y(3)?6y??+11y??6y=0;y(0)=0,y?(0)=0, y??(0)=3;y1?=ex,y2?=e2x,y3?=e3x 15. y(3)?3y??+3y??y=0;y(0)=2,y?(0)=0,y??(0)=0; y1?=ex,y2?=xex,y3?=x2ex 16. y(3)?5y??+8y??4y=0;y(0)=1,y?(0)=4,y??(0)=0; y1?=ex,y2?=e2x,y3?=xe2x 17. y(3)+9y?=0;y(0)=3,y?(0)=?1,y??(0)=2;y1?=1, y2?=cos3x,y3?=sin3x 18. y(3)?3y??+4y??2y=0;y(0)=1,y?(0)=0,y??(0)=0; y1?=ex,y2?=excosx,y3?=exsinx. 19. x3y(3)?3x2y??+6xy??6y=0;y(1)=6,y?(1)=14, y??(1)=22;y1?=x,y2?=x2,y3?=x3

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