How to write the following nonlinear ODE as a linear ODE by quasilinearization technique? y''(x)=y^3(x)-y(x)y'(x), y(1)=1/2, y(2)=1/3?

How to write the following nonlinear ODE as a linear ODE by quasilinearization technique? y''(x)=y^3(x)-y(x)y'(x),    1 less than x less than 2         y(1)=1/2,  y(2)=1/3?

11 April 2016 1,940 3 View