Q13 of 26 Page 1

Solve the differential equation :

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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11

Find :

12

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OR


Evaluate:

14

Solve the differential equation :

 15

Ishan wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by Using matrices, find the dimensions of the plot. Also, give a reason why he wants to donate the plot for a school.