# GATE Mechanical 2014 Set 4 | Question: 3

The solution of the initial value problem $\dfrac{dy}{dx}=-2xy$ ; $y(0)=2$ is

1. $1+e^{{-x}^2}$
2. $2e^{{-x}^2}$
3. $1+e^{{x}^2}$
4. $2e^{{x}^2}$

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