Q22 of 29 Page 9

Solve the differential equation :

[CBSE 2016]

Given:


Re - writing the equation as



Now it is a first order linear differential equation


So, calculating the integrating factor



Formula:




Now the solution of this equation is given by



Applying integration by parts,


Formula:




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Solve the differential equation :

[CBSE 2016]

 21

Solve the differential equation :

[CBSE 2016]

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

 24

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]