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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`

Answer

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

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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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    Find the particular solution of the following differential equation: (dy)/(dx)=1+x^(2)+y^(2)+x^(2)y^(2), given that y=1 when x=0.

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