Solve: dy/dx=(x+2y-3)/(2x+y-3)|| Homogeneous Differential Equation || Seperable ODE

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In this video, we will solve the ODE dy/dx=(x+2y-3)/(2x+y-3) . This is a first-order linear differential equation. First we will make the substitution X=x-1, Y=y-1. After the substitution the given ode will become homogeneous differential equation. Then again we make a substitution Y=vX and convert the equation into a seperable differential equation. Here, we try to provide a step-by-step solution of the given problem.

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Please I don't understand integration of 2/1-v^2...please solve partial method and solve DE

samuelbekele