Q. 175.0( 1 Vote )

# Solve the followi

Answer :

We have given We can write it as, Now, The equation is in the form of a linear differential equation as When we compare the equation with the linear equation , we get   Let x2 - 1 = t then 2xdx = dt   When substituting the value of t , we get

I.F = x2 - 1 + C

Now, The general solution for a linear equation is    Hence, This the required solution of given differential equation.

OR

Re - writing the equation as   Now separating variable x on one side and variable y on another side, we have Multiplying and dividing the numerator of LHS by x Assuming 1+y2 = t2 and 1+x2 = v2

Differentiating we get,

ydy = tdt

xdx = vdv

Substituting these values in above differential equation Integrating both sides Adding 1 and subtracting 1 to the numerator of RHS We know that, Therefore, Substituting t and v in above equation Rate this question :

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