Embedded Files
First order differential equation is a mathematical equation that relates a function to its first derivative and no higher order derivatives.
It express the relationship between a variable and its rate of change.
Newton's Law of Cooling
Newton's Law of Cooling
The rate of cooling of an object is proportional to the temperature difference between object (T) and its surrounding (Ts) provided that this difference is not too large.
Where: T(t)= temperature of object at time t.
Ts= temperature of the surrounding.
k= constant
KIRCHHOFF'S LAW
KIRCHHOFF'S LAW
In an electrical circuit having resistance R, current I, inductance and EMF E, the kirchhoff's law states that sum of the voltage drop in an electrical circuit is equal to the total EMP in the circuit.
EULER'S METHOD
EULER'S METHOD
Euler's method is a first order numerical method for approximating solutions to ordinary differential equations.
This method iteratively updates the values based on the derivatives at each step.
Where: xn= is the current x value.
yn= is the current y value.
h= step size.
RUNGE- KUTTA METHOD 4RTH ORDER
RUNGE- KUTTA METHOD 4RTH ORDER
The Runge-Kutta method provides the approximate value of y for given point x.
Only the first order can be solved using the Runge-Kutta method.
Page updated
Google Sites
Report abuse