" 30."(dy)/(dx)=tan^(-1)x

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(dy)/(dx)=tan^(2)x

(dy)/(dx)=1+x tan(y-x)

Find (dy)/(dx) if (tan^(-1)x)^(2) .

(1)/(x)(dy)/(dx)=tan^(-1)x,x!=0

Solve (1+x^(2))(dy)/(dx)=x+tan^(-1)x

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

Solve: (1+x^2)(dy)/(dx) = y+tan^(-1)x

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)