(x^(3)+x^(2)+x+1)(dy)/(dx^(2))=2x^(2)+x;...

(x^(3)+x^(2)+x+1)(dy)/(dx^(2))=2x^(2)+x;y=1" when "x=0

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(x^(3)+x^(2)+x+1)(dy)/(dx)=2x^(2)+x;y=1 when x=0

Solve (x^(3)+x^(2)+x+1)(dy)/(dx) =2x^(2)+x, " given that " y=1 " when " x =0.

x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

x(x^(2)-1)(dy)/(dx)=1;y=0 when x=2

x(x-1)(dy)/(dx)-(x-2)y=x^(3)(2x-1)

2xy + y^(2) - 2x^(2)(dy)/(dx) = 0, y = 2 when x = 1

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