Form the differential equation of the family of curves, y=a sin (bx+c), Where a and c are parameters.

Equation of the family of curves, y=a sin (bx+c), Where a and c are parameters.

Differentiating the above equation with respect to x on both sides, we have,


(1)



(Substituting equation 1 in this equation)




This is the required differential equation.


1