y'-2/x*y=x^3y'-y/x=2xsin2x
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y''-2/x*y=x^3y''-y/x=2xsin2xy''-2/x*y=x^3y''-y/x=2xsin2xy''-2/x*y=x^3y''-y/x=2xsin2x使用一阶非齐次线性方程公式:y=e^(∫2/
y'-2/x*y=x^3y'-y/x=2xsin2x
y'-2/x*y=x^3
y'-y/x=2xsin2x
y'-2/x*y=x^3y'-y/x=2xsin2x
使用一阶非齐次线性方程公式:
y=e^(∫2/xdx)(c+∫e^(-∫2/xdx)x^3dx
=x^2(c+∫xdx)
=1/2x^4+cx^2
y=e^(∫1/xdx)(c+∫e^(-∫1/xdx)2xsin2xdx
=x(c+∫sin2xdx)
=-1/2xcos2x+cx
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