3) Using the Method of Variation of Parameter, solve the following linear differential equation y' (1/t)...

Question

Question

3) Using the Method of Variation of Parameter, solve the following linear differential equation y (1/t) y 3cos (2t), t > 0,

Answer 1

Answer #1

y + (1/4) Y = 3 cos (at) Now, ylt (4)y=0 > -- 5 dy - chata * log y -- log t + C [C=constant & logy + logt = 9, g) lay yt el,

let y = f is a solution of -Y! + y = 360$ (34) f (x du d) + + ( 6 ) = 3 cos at > dus - + t = 3 coszt de 3 cosat & do- strosat

General solution of is Y = 60 y = 1 ( 3 (trinst + Car s inst & Iconst & f) A Now Prinzels 1 sprint! 5 3 2 acestei for large &

| (4) < 3 | Y(4) <2

Answer 2

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