Meromorphic functions sharing two small functions with its derivative

In this paper, we find all the forms of meromorphic functions f(z) that share the value 0 CM∗, and share b(z) IM∗ with g(z)=a1(z)f(z)+a2(z)f′(z). And a1(z), a2(z) and b(z) (a2(z),b(z)≢0) be small functions with respect to f(z). As an application, we show that some of nonlinear differential equations have no transcendental meromorphic solution.