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The first order nonlinear ODE d phi(t)/d t + sin phi(t)=B+A cos(omega t),(A,B,omega are real constants) is investigated. Its general solution is derivedin the case of the choice of parameters ensuring the phase-lock mode. It isrepresented in terms of Floquet solution of double confluent Heun equation.

General solution of overdamped Josephson junction equation in the case of phase-lock