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Q12 of 76 Page 931

Find the general solution of each of the following differential equations:
(1 – x²) dy + xy (1 – y) dx = 0

Integrating on both the sides,

LHS:

Let

⇒

Comparing coefficients in both the sides,

A = - 1, B = 1

RHS:

Multiply and divide 2

Therefore the solution of the given differential equation is

-

=

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