Form the differential equation from the given relation :
`y = A sin x + B cos x + x sin x`

Form the differential equation from the given relation : xy = ae^x + be^-x + x^2

Form the differential equation from the given relation : y^2-2ay+x^2 = a^2

Form the differential equation from the given relation : (x - c)^2 + y^2 = 16

Form the differential equation from the given relation : frac(x^2)(4+K)+frac(y^2)(9+K) = 1

Find the derivate of y = e^(x sin x) .

Write the order of the differential equation representing the family of curve given by y=a sin(x+b) , where a and b arbitrary constants.

Differentiate : sin2x w.r.t x^2

Find the derivative of : y = cos{2 sin^-1(cos x)}