This study introduced real life application of first order differential equation. In this paper We basically discussed about different types equation and the solution in field science technology. Further, Newton’s law cooling orthogonal trajectory has been incorporated. Study convective boundary condition it is used for increasing temperature.

in this paper, the numerical algorithms for solving ‘fuzzy ordinary differential equations’ are considered. a scheme based on the 4th order runge-kutta method is discussed in detail and it is followed by a complete error analysis. the algorithm is illustrated by solving some linear and nonlinear fuzzy cauchy problems.

In this paper, we study the concept of generalized differentiability for fuzzy-valued functions on time scales. Usingthe derivative of the product of two functions, we provide solutions to first order linear fuzzy dynamic equations. Wepresent some examples to illustrate our results.