This research presents an effective approach for resolving nonlinear differential equations with mixed derivatives, focusing on the Ito problem. Unlike traditional methods that require decomposing or transforming the problem into a system of differential equations, our proposed approach directly tackles the problem’s complexity while ensuring computational efficiency and precision.    The Ito equation, recognized for its importance in simulating many physical and stochastic phenomena, poses considerable challenges owing to its nonlinearity and mixed-derivative terms. Our methodology uses this technique, which decomposes the mixed derivative to derive partial solutions for the other derivative of the equation, then leads to partial solutions for the equation itself, ultimately representing the entire or approximate solution to the equation. This approach guarantees reliable, accurate solutions while preserving the structural integrity of the original equation.