積分方程通解公式
2025-11-30
舉例說明:(x-2)*dy/dx=y 2*(x-2)^3 解: ∵(x-2)*dy/dx=y 2*(x-2)3 (x-2)dy=[y 2*(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)2 C (C是積分常數(shù)) y=(x-2)3 C(x-2)...
2025-11-30
舉例說明:(x-2)*dy/dx=y 2*(x-2)^3 解: ∵(x-2)*dy/dx=y 2*(x-2)3 (x-2)dy=[y 2*(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)2 C (C是積分常數(shù)) y=(x-2)3 C(x-2)...