Develop python program to solve this problem.

Derive the 3rd and 4th order Runge-Kutta equations to show how to obtain the coefficients and develop programs using the methods to solve the following problem For heat convection of an object that the heat convection coefficient varies with temperature, the governing equation can be expressed as dT + (a + bT)T = 0 dt Let To = 100 a = 1 b = 0.03 Find the temperature of the object from 0