Q. 14

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

Answer :

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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