I'm a beginner in stochastic processes and I want to solve the following stochastic equation:
$$X_t = 1 + \int_0^t X_s \sigma_s\, dB_s,$$
where $B_s$ is a standard Brownian motion. I want to apply Ito's formula and it gives me:
$$d X_t = X_t \sigma_s\, dB_t.$$
Is it a proper way to start solving it? How should I continue the calculation to solve this equation?