1. Describe and solve each first-order equation. (a) xy'=xy+3y (c) dy_2ty+2t dt 1+t (e) (1+x) y'+y=cos...

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1. Describe and solve each first-order equation. (a) x²y'=xy²+3y² (c) dy_2ty+2t dt 1+t² (e) (1+x) y'+y=cos x (b) y'+3y=3t²e-³t (d) y'=x²-2xy+y² (f) y'-y=-e' sint, y(0)=-1 1. Describe and solve each first-order equation. (a) x²y'=xy²+3y² (c) dy_2ty+2t dt 1+t² (e) (1+x) y'+y=cos x (b) y'+3y=3t²e-³t (d) y'=x²-2xy+y² (f) y'-y=-e' sint, y(0)=-1