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Solve (x^(2)+y^(2))dx=2xydy...

Solve `(x^(2)+y^(2))dx=2xydy`

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Solve the following differential equations (i) (dy)/(dx) = (x^(2)+y^(2))/(2x^(2)) (ii) y^(2)dx + (x^(2) - xy)dy = 0 (iii) (dy)/(dx) = ((x+y)^(2))/(2x^(2)) (iv) (dy)/(dx) = (x-y)/(x+y) (v) (x^(2) + y^(2)) dy = 2xydx (vi) (x^(2) - y^(2))dx - xydy = 0

Solve (1= xy + x^(2)y^(2))dx + (x^(3)y - x^(2))dy = 0

Knowledge Check

  • The solution of (x^(2)+y^(2))dx=2xydy is

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