Maren Morris, 25, has accomplished a rare feat â making waves without an easily grasped message. If anything, she writes songs about experiences that are difficult to explain, like the fleeting surge of confidence you have before leaving the house for a big night.
Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state temperature distribution. A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two.
Example: Solve the differential equation: dy/dx = y + 1, y(0) = 1 The general solution is: y = c*e^x - 1 for any real constant c. The particular solution you are interested in is the one where y(0) = 1, that is, c*e^0 - 1 = 1, that is, c = 2, that is: y = 2*e^x - 1 - Doctor Rob, The Math Forum http://mathforum.org/dr.math/