题目 Problem Find the particular solution of the differential equation d2ydx2−2dydx+y=4cosx,\frac{\mathrm{d}^2y}{\mathrm{d}x^2}-2\frac{\mathrm{d}y}{\mathrm{d}x}+y=4\cos x,dx2d2y−2dxdy+y=4cosx, given that, when x=0x=0x=0, y=−4y=-4y=−4 and dydx=3\frac{\mathrm{d}y}{\mathrm{d}x}=3dxdy=3. [11] 题目中文翻译 求微分方程 d2ydx2−2dydx+y=4cosx\frac{\mathrm{d}^2y}{\mathrm{d}x^2}-2\frac{\mathrm{d}y}{\mathrm{d}x}+y=4\cos xdx2d2y−2dxdy+y=4cosx 的特解，已知当 x=0x=0x=0 时，y=−4y=-4y=−4 且 dydx=3\frac{\mathrm{d}y}{\mathrm{d}x}=3dxdy=3。 解答
