Further Pure Mathematics 4PM1 / Differentiation / 1.521.52: Show that4PM1/1/November/2025 — Question 6 · 8 marksMark as done · Save for latery=e4xcos3xy = \mathrm{e}^{4x} \mathrm{cos} 3xy=e4xcos3xShow thatd2ydx2+Ay=BdydxwhereAandB are integers to be found.\frac{\mathrm{d}^{2}y}{\mathrm{d}x^2} + Ay = B \frac{\mathrm{d}y}{\mathrm{d}x} \quad \mathrm{where} A \mathrm{and} B \text{ are integers to be found.}dx2d2y+Ay=BdxdywhereAandB are integers to be found.(8)▸ Mark scheme← 1.45: 4PM1/1/June/2025 — Question 71.53: 4PM1/1/November/2025 — Question 9 →