Find the general solution of the following first order linear ODEs: 1 (a) y' + ½/y = 3 cos(2t), t > 0 (b) ty' - y = t²et, t> 0 Find the particular solution of the following equations and initial conditions: (c) y' (t) - 2y(t) = (t + 2)², y(1) = 18 (d) y' - 3y = 3t+ 2e², y(0) = yo

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A: y'=xy3(1+x2)-12  dydx=xy3(1+x2)-12given  y(0)=1∫xndx=xn+1n+1+c