Verify that y = –x – 1 is a solution of the differential equation (y – x)dy – (y2 – x2)dx = 0.

The differential equation is and the function to be proven as the solution is

y = – x – 1, now we need to find the value of .


= –1


Putting the values in equation,


–1 = –x –1 +x


As, L.H.S = R.H.S. the equation is satisfied, so hence this function is the solution of the differential equation.


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