Solveeit Logo

Question

Mathematics Question on Derivatives

(x2+1)2dy+(y(2x3+x)2)dx=0,y(0)=0,(x^2 + 1)2dy + (y(2x^3 + x) – 2)dx = 0, y(0) = 0, then y(2) is equal to

A

25tan12\frac{2}5 tan^{-1}2

B

35tan12\frac{3}5 tan^{-1}2

C

25tan13\frac{2}5 tan^{-1}3

D

35tan13\frac{3}5 tan^{-1}3

Answer

25tan12\frac{2}5 tan^{-1}2

Explanation

Solution

The Correct answer is option(A) : 25tan12\frac{2}5 tan^{-1}2