验证函数是否是所给微分方程的解,若是,指出是特解还是通解(其中C为任意常数):
dy/dx+y=x,y=e-x+x-1;
dy/dx=-e-x+1,则 dy/dx+y=-e-x+1+ex+x-1 =x 故y=e-x-1是dy/dx+y=x的解,且是特解.
验证函数是否是所给微分方程的解,若是,指出是特解还是通解(其中C为任意常数):
dy/dx+y=x,y=e-x+x-1;
dy/dx=-e-x+1,则 dy/dx+y=-e-x+1+ex+x-1 =x 故y=e-x-1是dy/dx+y=x的解,且是特解.