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in Differential equations by (15 points)
edited by

Let a curve \( y=f(x), f(x) \geq 0 \forall x \in R \) has property that for every point \( P \) on the curve, length of subnormal is equal to abscissa of \( P \). If \( f(1)=3 \), then \( f(4) \) is equal to

(A) \( -2 \sqrt{6} \) 

(B) \( 2 \sqrt{6} \) 

(C) \( 3 \sqrt{5} \) 

(D) none of these

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1 Answer

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by (41.0k points)

The correct option is (b) 2√6

According to the question

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