Question

If the solution curve of the differential equation (2x – 10y³) dy + ydx = 0, passes through the points (0,1) and (2, β), then β is a root of the equation :

(1) y⁵ – 2y – 2 = 0 

(2) 2y⁵ – 2y – 1 = 0 

(3) 2y⁵ – y² – 2 = 0 

(4) y⁵ – y² – 1 = 0

Answer 1

Option : (4) y⁵ – y² – 1 = 0

(2x – 10y³) dy + ydx = 0