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Mathematics · 2023

JEE Main · 13 April 2023, Shift 1 · Q14

Let y=y_1(x) and y=y_2(x) be the solution curves of the differential equation (d y)/(d x)=y+7 with initial conditions y_1(0)=0 and y_2(0)=1…

Let $\displaystyle y=y_1(x)$ and $\displaystyle y=y_2(x)$ be the solution curves of the differential equation $\displaystyle \frac{d y}{d x}=y+7$ with initial conditions $\displaystyle y_1(0)=0$ and $\displaystyle y_2(0)=1$ respectively. Then the curves $\displaystyle y=y_1(x)$ and $\displaystyle y=y_2(x)$ intersect at
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