Question

The function y = ax + 2a² is a solution of the differential equations

(a) 2(y’)² + xy’ + y = 0

(b) 2(y’)² − xy’ + y = 0

(c) 2(y’)² + xy’ − y = 0

(d) none of these​

Answer 1

Answer:

So by the above process the option is 4

Answer 2

The correct answer is option(d) none of these

we have y=cx-c²

On differentiating w.r.t x we get  y'=c

On putting this value in the equation we get ,

                                  y=x(y')-(y')²

                         ⇒(y')²-xy'+y=0

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