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# The equation of the curve passing through

Question:

The equation of the curve passing through the origin and satisfying the differential equation $\left(1+x^{2}\right) \frac{d y}{d x}+2 x y=4 x^{2}$ is :

1. $\left(1+x^{2}\right) y=x^{3}$

2. $3\left(1+x^{2}\right) y=4 x^{3}$

3. $3\left(1+x^{2}\right) y=2 x^{3}$

4. $\left(1+x^{2}\right) y=3 x^{3}$

Correct Option: , 2

Solution: