 Hi and welcome to the session. Let us discuss the following question. Question says, the general solution of the differential equation y dx minus x dy upon y is equal to 0 is a, x y is equal to c, b, x is equal to cy square, c, y is equal to cx, d, y is equal to cx square. We have to choose the correct answer from a, b, c and d. Let us now start with the solution. Now given differential equation is y dx minus x dy upon y is equal to 0. Now multiplying both the sides of this equation by y we get y dx minus x dy is equal to 0. Now adding x dy on both the sides of this equation we get y dx is equal to x dy. Now let us name this equation as equation 1. Now separating the variables in equation 1 we get dy upon y is equal to dx upon x. Now integrating both the sides of this equation we get integral of dy upon y is equal to integral of dx upon x. Now using this formula of integration we get integral of dy upon y is equal to log y and integral of dx upon x is equal to log x plus log c where log c represents the constant of integration. Now using this law of logarithms in right hand side of this equation we get log y is equal to log x multiplied by c. Now applying this law of logarithms on both the sides of this equation we get y is equal to xc or we can write it as y is equal to cx. So the general solution of the given differential equation is y is equal to cx. So correct answer is c. This is our required answer. This completes the session. Take care and have a nice day.