A NEW APPROACH FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS.

A new method for solving ordinary differential equations is suggested. As it is shown the deferential equation can be solved not only by means integration of its differentiation as well. It is shown that the differential equation can be solved not only by integration, but also by differentiation. The developed method is applied for consideration of corresponding equations for the exponential function and trigonometric functions. In the framework of the developed method the simple approach for derivation of Taylor series of a function is demonstrated. Based imminently on the geometric definition the connections between trigonometric functions and their derivatives are obtained as well. The well-known Euler formula is also produced, which establishes a connection between trigonometric functions and exponential function. [ABSTRACT FROM AUTHOR]