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Write the differential equation repre...

Write the differential equation representing the family of curves `y=m x ,` where m is an arbitrary constant.

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  13. Solve the differential equation (1+x)(1+y^(2))dx+(1+y)(1+x^(2))dy =0...

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  14. (a) Solve :(i) (dy)/(dx)=1+x+y+xy (ii) xyy'=1+x+y+xy.

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  16. sqrt(1+x^2+y^2+x^2y^2)+x y \ (dy)/(dx)=0

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