Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 12 of Exercise 9.4

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12

For each of the differential equations in question, find a particular solution satisfying the given condition:

x(x2 – 1) dy/dx = 1; y = 0 when x = 0


Separating variables,



Or,



Integrating both sides,



Now let,




Or



Now comparing the values of A,B,C


A + B + C = 0


B-C = 0


A = -1


Solving these we will get that


Now putting the values of A,B,C in ii)



Now integrating it,





Now we are given that




Or,





Now putting the value of


Then,




12

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