Q24 of 29 Page 9

Find the particular solution of the differential equation , given that y = π/4.

OR


Find the particular solution of the differential equation , given that y = 0 when x = π/3.[CBSE 2018]

Given



ln | = ln |tan y| + ln C


ln | | = ln (C tan y )


= C tan y


Given x = 0, y =


= C tan


1 – 2 = C1


C = – 1


= – tan y {since C = – 1}


+ tan y = 0.


OR



Let P = and Q =


So,


I.F = = = =


Soln. y(I.F) =


y


y


y


Given y = 0 when x =





∴ y { since C = – 2}


y

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22

Solve the differential equation :

[CBSE 2016]

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Solve the differential equation (tan-1x – y)dx = (1 + x2)dy.[CBSE 2017]

 25

Solve the differential equation (x2 – y2) dx + 2xydy = 0.

OR


Find the particular solution of the differential equation , given that y = 0 when x = 1.[CBSE 2018]

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Find the particular solution of the differential equation y ≠ 0 given that x = 0 when [CBSE 2013]