91Ó°ÊÓ

Sketch the family of curves given by the equation \(\frac{\mathrm{d} y}{\mathrm{~d} x}=4 x\) and determine the equation of one of these curves which passes through the point \((2,3)\)

The bending moment \(M\) of a beam is given by \(\frac{\mathrm{d} M}{\mathrm{~d} x}=-w(l-x)\), where \(w\) and \(x\) are constants. Determine \(M\) in terms of \(x\) given: \(M=\frac{1}{2} w l^{2}\) when \(x=0\)