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Q42 of 76 Page 931

Solve the differential equation (x² – yx²)
dy + (y² + x²y²) dx = 0, given that y = 1 when x = 1.

⇒

For y=1,x=1, we have,

⇒

⇒ 1

Hence, the required solution is:

⇒

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Find the particular solution of the differential equation given that y = 0 when x = 0.

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Find the particular solution of the differential equation given that y = 1 when x = 0.