Q. 12

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

x(x^{2} – 1) dy/dx = 1; y = 0 when x = 0

Answer :

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,

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PREVIOUSFor 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 = 0NEXTFor each of the differential equations in question, find a particular solution satisfying the given condition:cos dy/dx = a; y = 2 when x = 0

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