Question:

Show that the substitution z = 1/y² into the differential

Last updated: 8/10/2022

Show that the substitution z = 1/y² into the differential

Show that the substitution z = 1/y² into the differential equation dy/dx+y = xy³ transforms the differential equation dz/dx - 2z = -2x Hence, find the solution of the differential equation satisfying the condition y = √2 when x = 0. Give your answer in the form y = f(x).