Let y_1(x) and y_2(x) be two solutions of the differential equation dy dx =x. If y_1(0)=0 and y_2(0)=4, then what is the number of points of intersection of the curves y_1(x) and y_2(x)?

NDA 2024 Mathematics question

Let and be two solutions of the differential equation . If and , then what is the number of points of intersection of the curves and ?

Answer: (A)

The general solution is . With : ; with : $ =

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Question ID VK-029842