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Find particular solutions of the followi...

Find particular solutions of the following differential equations : (1) ` (x-y^(2)x) dx - (y+x^(2)y) dy = 0 , " when " x =2, y=0`

Text Solution

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The correct Answer is:
` (1+x^(2)) (1-y^(2))=5`
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Knowledge Check

  • Particular solution of the differential equation xy(dy)/(dx)=x^(2)+2y^(2),y(1)=0, is

    A
    `x^(2)+y^(2)+x^(4)=0`
    B
    `x^(2)-y^(2)-x^(4)=0`
    C
    `x^(2)+y^(2)-x^(4)=0`
    D
    ` x^(2)-y^(2)+x^(4)=0`

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