C[y1(x)-y2(x)]
y1(x)+C[y1(x)-y2(x)]
C[y1(x)+y2(x)]
y1(x)+C[y1(x)+y2(x)]
如果从变量y1,y2到x1,x2的线性变换是,则变量x1,x2到变量y1,y2的线性变换是:
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已知y1(x)和y2(x)是方程y''+p(x)y'+Q(x)y=0的两个线性无关的特解, Y1(x)和Y2 (x)分别是方程y''+p(x)y'+Q(x)y=R1(x)和y''+p(x)y'+Q(x)y=R2(x)的特解。那么方程y''+p(x)y'+Q(x)y=R1(x)y+R2(x)的通解应是: A. c1y1+c2y2B. c1Y1(x)+c2Y2(x) C. c1y1+c2y2+Y1(x) D. c1y1+c2y2+Y1(x)+Y2(x)
设非齐次线性微分方程y´+P(x)y=Q(x)有两个不同的解析:y1(x)与y2(x),C为任意常数,则该方程的通解是( ).A.C[(y1(x)-y2(x)] B.y1(x)+C[(y1(x)-y2(x)] C.C[(y1(x)+y2(x)] D.y1(x)+C[(y1(x)+y2(x)]
A、 y1=x,y2=ex B、 y1=e-x,y2=ex C、 y1=e-x,y2=xe-x D、 y1=ex,y2=xex
设非齐次线性微分方程y′+P(x)y=Q(x)有两个不同的解y1(x),y2(x),C为任意常数,则该方程通解是( )。A.C[y1(x)-y2(x)] B.y1(x)+C[y1(x)-y2(x)] C.C[y1(x)+y2(x)] D.y1(x)+C[y1(x)+y2(x)]
已知y1(X)与y2(x)是方程:y" + P(x)y'+Q(x)y = 0的两个线性无关的特解,y1(x)和y2(x)分别是方程y"+P(x)y'+Q(x)y=R1(x)和y"+p(x)+Q(x)y=R2(x)的特解。那么方程y"+p(x)y'+Q(x)y=R1(x)+R2(x)的通解应是: A. c1y1+c2y2 B. c1Y1(x) +c2Y2 (x) C. c1y1+c2y2 +Y1(x) D. c1y1+c2y2 +Y1 (x) +Y2 (x)
若y1(x)是线性非齐次方程y '+ p(x)= Q(x)的解,y1(x)是对应的齐次方程y'+p(x)y=0的解,则下列函数中哪一个是y '+ p(x)y= Q(x)的解? A. y=cy1(x)+y2(x) B. y=y1(x)+c2y2(x) C. y=c[y1 (x)+y2(x)] D.y=c1y(x)-y2(x)