Q. 224.8( 4 Votes )

# Solve the differe

Answer :

Given equation: On-rearranging the term, we get,   Now, this is a homogenous differential equation of order 1.

Let y = vx and Therefore,   Integrating both sides, we get, Now, we know that, and Therefore,  Putting the value of y, we get, At x = 1, y = 0, C = 1

Hence,  OR

Given Equation: Dividing the whole equation by (1 + x2), we get, Now, this is a linear equation of the form, We know that the solution of this equation is given by, Where Therefore, for a given equation, Let 1 + x2 = t

Differentiating both sides, we get,

2x dx = dt

Therefore,  The solution of the equation:   At x = 0, y = 0

Therefore,  Hence,  Rate this question :

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