This article is "I decided to carry out a series of fun right in the classroom inverted to universal calculus" https://www.cnblogs.com/KSongKing/p/11893313.html Lecture 9 where:
As it can be seen from the differential equations and algorithms integral derivative difficulties calculus occurs in the following situations:
1 denominator polynomial
2 with the case of the root
Case 3 micro component and the amount of credit-related
Group 4 differential equation, note that equation, is set
5 is a combination of the above circumstances
For micro-component integral quantity and refers to one such dimer simple harmonic motion of celestial mechanics ...... n-body motion. Simple harmonic motion is the spring oscillator, vibrator pellets acceleration a is the second derivative of displacement x, micro component, a and a spring force F related, F = kx, F and x are related, x is a second order integration, x is the amount of credit, thus, a and x are interrelated, which is related to the micro component and the amount of credit situation. Of course, the simple harmonic motion differential equation is solvable, but the differential and integral than simply limit the issue more complicated. Because the micro-component integral quantity and interrelated, the method can not be solved by simple integral or differential.
Differential simple harmonic motion: d²x / dt² = - kx / m, x is a displacement, k is the spring constant, m is the mass of the transducer pellets, k and m are constants, x, t is a variable, t is from variable
Twice integrating the equation can be obtained on both sides of the left x, but this should be integrated twice to the right of the equation, the right side of the equation containing x, as a function of x and t are unknown, which itself is required to take the solution of differential equations made it impossible to start the integral equation right. So with a simple differential or integral method alone can not solve the differential equations, it requires some skill.
n-body motion of celestial mechanics, and a simple harmonic motion similar objects (particles) is the second derivative of acceleration a displacement of attractive force F and a related, and location of the attractive force F, the position (displacement) is a second order integrator, Therefore, a and a position related to each other, which is related to the amount of credit and the micro-component.