⑩天掌 Teaching Plan on Advanced Mathematics o 将和y代入原方程得(x)2)=g(x) 积分得x)=gxa+c 阶线性非齐次微分方程的通解为: y=[2(r)e JP(x)d dx+cle P(x)dx P(x)de =Ce P(x)d +e -P(x)dx o(xre dx 对应齐次 方程通解 非齐次方程特解 tianjin polytechnic dmivendityTianjin Polytechnic University Teaching Plan on Advanced Mathematics 将y和y代入原方程得 ( ) ( ) , ( ) u x Q x e dx C P x dx +  =  ( ) ( ), ( ) u x e Q x P x dx =   − 积分得 一阶线性非齐次微分方程的通解为:  +  = −  P x d x P x d x y Q x e dx C e ( ) ( ) [ ( ) ] Ce e Q x e dx P x d x P x d x P x d x    +  =  − ( ) − ( ) ( ) ( ) 对应齐次 方程通解 非齐次方程特解