MCQEasyJEE Main 2023 · 13 April, Shift 1Linear Differential Equations

Mathematics Question from JEE Main 2023 · 13 April, Shift 1

Let y=y1(x)y = y_1(x) and y=y2(x)y = y_2(x) be the solution curves of the differential equation dydx=y+7\frac{dy}{dx} = y + 7 with initial conditions y1(0)=0y_1(0) = 0 and y2(0)=1y_2(0) = 1 respectively. Then the curves y=y1(x)y = y_1(x) and y=y2(x)y = y_2(x) intersect at:

  • A

    no point

  • B

    infinite number of points

  • C

    one point

  • D

    two points

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