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ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.
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Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
A differential equation is a tool to certains carrers to find and solve all kinds of problems, in my case i'm a civil engineer and i use this tool to solve problems in the area of hidraulics, and in the area of structures. The differencial ecuations have all kinds of uses in the area of engieneering and in other fields too
It is a field of math that uses calculus, specifically, differential calc, to study geometry. Some of the commonly studied topics in differential geometry are the study of curves and surfaces in 3d