In this project, I studied the Elzaki substitution method for solving nth order linear partial differ-ential equations involving mixed derivatives. This method will play an important role to find ex-act solutions of partial differential equations involving mixed partial derivatives with less com-putation. The results obtained by the proposed method (Elzaki substitution method) tells that the method can be used for solution of the linear higherorder initial value problems involving mixed partial derivatives. Illustrative examples presented to demonstrate the effectiveness, efficiency and applicability of the method.