Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 11 of Exercise 9.4

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11

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

(x3 + x2 + x + 1) dy/dx = 2x2 + x, y = 1 when x = 0

(


Separating variables,



Integrating both sides,



Integrating it partially,






Now comparing the coefficients of


A + B = 2


B + C = 1


A + C = 0


Solving them we will get the values of A,B,C



Putting the values of A,B,C in i)



So,






Then, 2xdx = dt




or,




Or,





Now, we are given that y = 1 when x = 0




So,


C = 1


Putting the value of c in ii)



11

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