Given the heat conduction problem in the rod as follows: t and there is heat flow from ➤ Length of the rod is equal 5 and heat conductivity coefficient is equal 50. The left hand end of the rod kept with the temperature equal the right hand end equal sint. 10 17x At initial time temperature of the rod was as -3sin +8 sin There is the heat source inside of the rod expressed by the function -10 sint+ tsin- -4t+ Π.Χ 2 (x-5)²x² 25 + 10' cost. Your task followings: 1. Specify the problem as mathematical model. 2. Find the solution of the problem. 3. Draw the graph of the temperature at the time t = 10. 4. Draw the graph of the temperature at point x=3 in the time interval 0 <t<10.