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Solve (1-x^(2))(dy)/(dx)+2xy=xsqrt(1-x^(...

Solve `(1-x^(2))(dy)/(dx)+2xy=xsqrt(1-x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(1-x^(2))+c`
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For each of the differential equations given in find a particular solution satisfying the given condition : (1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2)), y=0 when x=1

(dy)/(dx) = (2xy)/(x^(2)-1-2y)