Question: Solve each of the following initial-value problems x 2 y'' + 3xy' + x 2 =x, y(1)=2, y'(1)=1 y'+(1/3)y = 1/3(1-2x)y 4 siny(dy/dx) = cos

Solve each of the following initial-value problems

  1. x2y'' + 3xy' + x2=x, y(1)=2, y'(1)=1
  2. y'+(1/3)y = 1/3(1-2x)y4
  3. siny(dy/dx) = cos y(1-xcosy), Hint: substitute v=1/cosy

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