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" 15."quad 2xy+y^(2)-2x^(2)(dy)/(dx)=0;y...

" 15."quad 2xy+y^(2)-2x^(2)(dy)/(dx)=0;y=2" यदि "x=1

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

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

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

x^(2)dy+(x^(2)-xy+y^(2))dx=0

(3xy+y^(2))dx+(x^(2)+xy)dy=0

(x^(2)-2xy-y^(2))dx-(x+y)^(2)dy=0

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

(dy)/(dx)=(x^(2)-y^(2))/(xy)

y^2dx+(x^2-xy+y^2)dy=0