Form the differential equation, if `y^(2)=4a(x+a),` where a is arbitary constant.

Form the differential equation of family of curves y=mx where m is arbitrary constant.

Write the differential equation representing the curve y^(2) = 4ax , where a is an arbitrary constant.

The order of the differential equation obtained by eliminating arbitrary constants in the family of curves c_(1)y=(c_(2)+c_(3))e^(x-c_(4)) is

The differential equation of the family of parabolas y^2=4ax , where a is parameter is :

The differential equation of the family of parabolas y^(2)=4ax where a is parameter is

Solve the differential equation x(dy)/(dx)+2y=xlogx .

The differential equation of the family of curves y^(2) = 4a(x+a) is

A real valued functio f(x) satisfies the functional equation f(x-y)=f(y)-f(a-x)f(a+y) where a is given constant and f(0) =1 f(2a-x) is equal to