Show that the transformation 2 = ln x transforms the differential equation 2 x ²³y" + Axy' + By=0 for x>0 with constants A and B, into a differential equation with constant coefficients.

solve the differential equation: eyy'+ [2t / (1+ey)] = 3 / (1+ey). Please show all the steps and hand write it if you can.

Solve the differential equation  xy^2y' =x+1

Find a differential equation for y=c1e^9t +c2e^-4t. O y"+5y +16y=0 O y"-5y'-16y=0 Oy"+5y'+36y=0 Oy"-5y'-36y=0