Use the method for solving homogeneous equations to solve the following differential equation.dtdx?=6tx6x2+t4t2+x2??

Start by expressing the equation in the formdtdx?=F(tx?),F(tx?)=??, Then, continue to solve and express in form F(t, x) = C.

Please don't skip any steps, I've tried to solve this multiple times and am getting stuck in some place

sx + + 4 + 2 + x2 61 x. 6 x + t V y t 2 + 2 2 + 2 4 + / 2 1 2 I 6 = F ( R Let x= Not. DI - V+ tar at .v+tdy = 6v2 +,/ 4+ v2 6 V - 6v 2 6 V . = ) - dv Vv 2 + y 6 V . = ) fv dv de Vv 2+ 4 t . 3 6 d /v = 1+ ( 3 / ) 2 7 6vay = logt 80 Vv zty + logc x2 = 10ge + log @ (WITH " = 1 ( logte )