一阶线性齐次微分方程的通解与特解公式

举例说明：(x-2)*dy/dx=y2*(x-2)^3 解： ∵(x-2)*dy/dx=y2*(x-2)³ (x-2)dy=[y2*(x-2)³]dx (x-2)dy-ydx=2*(x-2)³dx [(x-2)dy-ydx]/(x-2)²=2*(x-2)dx d[y/(x-2)]=d[(x-2)²] y/(x-2)=(x-2)²C(C是积分常数) y=(x-2)³C(x-2)...