若y=(1+x^2)u(x)是y'-2y/(1+x)=(x+1)^2的通解,求u(x)?

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若y=(1+x^2)u(x)是y''-2y/(1+x)=(x+1)^2的通解,求u(x)?若y=(1+x^2)u(x)是y''-2y/(1+x)=(x+1)^2的通解,求u(x)?若y=(1+x^2)u(

若y=(1+x^2)u(x)是y'-2y/(1+x)=(x+1)^2的通解,求u(x)?
若y=(1+x^2)u(x)是y'-2y/(1+x)=(x+1)^2的通解,求u(x)?

若y=(1+x^2)u(x)是y'-2y/(1+x)=(x+1)^2的通解,求u(x)?
1o9

将y=[(x+1) ]u(x)代入方程可得:(x+1)u'(x)=(x+1) 因此u(x)=1/3(x+1) +C