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Mathematics · 2022

JEE Main · 27 July 2022, Shift 1 · Q10

Let y=y_1(x) and y=y_2(x) be two distinct solutions of the differential equation (d y)/(d x)=x+y, with y_1(0)=0 and y_2(0)=1 respectively. Then, the…

Let $\displaystyle y=y_1(x)$ and $\displaystyle y=y_2(x)$ be two distinct solutions of the differential equation $\displaystyle \frac{d y}{d x}=x+y$, with $\displaystyle y_1(0)=0$ and $\displaystyle y_2(0)=1$ respectively. Then, the number of points of intersection of $\displaystyle y=y_1(x)$ and $\displaystyle y=y_2(x)$ is
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