3.52: Curve from second derivative involving cosine

A curve is such that $\dfrac{\mathrm{d}^{2}y}{\mathrm{d}x^{2}} = \mathrm{cos}\left(4x - \dfrac{\pi}{4}\right)$. Given that $\dfrac{\mathrm{d}y}{\mathrm{d}x} = \dfrac{3}{4}$ at the point $\left(\dfrac{3\pi}{16},\ \dfrac{\pi}{4}\right)$ on the curve, find the equation of the curve.