设一阶线性微分方程dy/dx=P(x)y+Q(x)(P(x),Q(x)是已知的连续函数),则它的通解为()
A.y=e-∫P(x)dx(C+∫Q(x)e∫P(x)dxdx) B.y=e-∫P(x)dx(C+∫Q(x)e-∫P(x)dxdx) C.y=e∫P(x)dx(C+∫Q(x)e∫P(x)dxdx) D.y=e∫P(x)dx(C+∫Q(x)e-∫P(x)dxdx)正确答案D
设一阶线性微分方程dy/dx=P(x)y+Q(x)(P(x),Q(x)是已知的连续函数),则它的通解为()
A.y=e-∫P(x)dx(C+∫Q(x)e∫P(x)dxdx) B.y=e-∫P(x)dx(C+∫Q(x)e-∫P(x)dxdx) C.y=e∫P(x)dx(C+∫Q(x)e∫P(x)dxdx) D.y=e∫P(x)dx(C+∫Q(x)e-∫P(x)dxdx)正确答案D