Question

Let y = y(x) be the solution of the differential equation (x – x³)dy = (y + yx² – 3x⁴ )dx, x > 2. If y(3) = 3, then y(4) is equal to : 

(1) 4 

(2) 12 

(3) 8 

(4) 16

Answer 1

(x – x³ )dy = (y + yx² – 3x⁴ )dx 

\(\Rightarrow\) xdy – ydx = (yx² – 3x⁴ )dx + x³ dy