Solve the differential equation the product of 1 over 4 times x and dy dx equals y times the square root of the quantity 2 times x squared minus 1.

Question

Solve the differential equation 

 

  

None of these

Answer 1

Variables are separable. dy/y = 4x sqrt(2x² - 1)

Make the substitution u=2x²-1 to get

ln y = (2/3)(2x² -1)^3/2

^{You take it from here.}