English: Now in the old variables u(x,t) what happens if you rewrite c₁, u(x,t) = c₁(x+ct) + c₂(x−ct) so this is your general solution of the wave equation in the old variables the partial differential equation is this one, so this is your wave equation whose general solution is simply two arbitrary functions each function takes, one function takes x + ct as a ordinate other function takes x − ct ok.
Telugu: ఇప్పుడు పాత వేరియబుల్స్‌ u(x,t)లో మీరు c₁, u(x,t) = c₁(x+ct) + c₂(x−ct)ని తిరిగి వ్రాస్తే ఏమి జరుగుతుంది.