Show each and every step Show that the differential equatio

**** Show each and every step

Show that the differential equation dy/dx = 3y^2 + x^2/2xy can be transformed into the differential equation xupsilon\' = upsilon_2 + 1/2upsilony the substitution upsilon = y/x (b) Solve for y explicitly if y(1) = 1

Solution

(6+6-96+56)^2 Add all the radicals, since they are all 6. Just focus on the coefficients

(1+1-9+5)^2 Since the coefficients add to -7….

(-76)^2 Since there is no addition or subtraction inside the parenthesis, we can just square everything inside


(-7)^2 * (6)^2 Since the radical and the exponent cancel each other out, you\'re just left with 6.

49*6

294