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So lution Exiatence Uniqueness theorern - Consides IVP the y" + blt y' t 9(41y = glt| y(40) =y, , gue) are and bound ed On open interval Contrining to, then teore exists exactly One 20lution y 41 07 equation valid on (t f3) (t -5) y" e 3ty' + 4y= 2 y'r31= -1 y(31= 0 t +5 t +-3 Bince 8. lution longest (-3, 5) interval in olid Theretore valid Theorem- Abel'e to the equation two solutions are 9, aud Y y"+ bltiy'f qlt)y =0 W(4,4)=c Blt da Then (42- 2) y" - (t-1) H+1) (+ 12) y' f (t+2) y = 0 Here yll - (t-1) (491) (t 12) ť²-1 (t+2) y' + (t-1)(t f1) (t +2) t²-1 dt ce %3D WlYs,Y2) =Ce 124 W(Y,4,) = ce" REDMI NOTE 5 PRO
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