The particular solution of the differential equation (2x-2y+3)dx-(x-y+1)dy=0 when x=0, y=1 is

MHT CET 2022 Mathematics question

The particular solution of the differential equation when is

Answer: (D)

. Put , so . Then . Separate: \frac{v+1}{v+2}dv=-dx\Rightarrow\left(1-\frac{1}{v+2}\right)dv=-dx. Integrating: , i.e.

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Question ID VK-093710