how to solve it?

2..61 0 55 Question Help { Use the method for solving homogeneous equations to solve the following differential equation. (6x2-y2) dx+ (xy-3x3y_1) dy=0 Ignoring lost solutions, if any, an implicit solution in the form F(x,y) = C is - 62 + In 2 = C, where C is an arbitrary constant. x x (Type an expression using x and y as the variables.) X Try again. d To solve a homogeneous equation % =f(x,y), make the substitution v= % so that d the homogeneous equation has the form _y = G(v). Remember that v = % implies dx dv d that i = v + XE. This substitution transforms the equation into a separable one, dv x - G(v) - v. Solve the equation in v and x and then substitute the original dx_ variables into the solution. Enter your answer in the answer box and then click Check