How can i make a code to find y of y''=y*y' ?

1 次查看(过去 30 天)
(sorry about my english skill)
i want to know how can i make a ode code.
if i have y'=2y then i can make a code like
[T,Y] = ode45(@(t,y) 2*y,[0 1],1); plot(T,Y);
but if i have y''=y*y' , i can't make a code
help me (T_T)

采纳的回答

Roger Stafford
Roger Stafford 2016-6-10
编辑:Roger Stafford 2016-6-11
To solve your equation numerically using one of the ode functions, you set it up as two simultaneous differential equations:
dy(1) = y(2)
dy(2) = y(1)*y(2)
See:
http://www.mathworks.com/help/matlab/ref/ode45.html
for some examples of this.
However, it should be noted that the ordinary methods of calculus can be used to solve this particular differential equation. Its solutions are:
y = 2*a*tan(a*t+b)
y = -2/(t+b)
y = -2*a*coth(a*t+b)
y = b
y = -2*a*tanh(a*t+b)
where a and b are arbitrary constants. (Corrected twice)
  1 个评论
Roger Stafford
Roger Stafford 2016-6-10
编辑:Roger Stafford 2016-6-11
I have added two more solution formulas involving the hyperbolic cotangent function and a reciprocal formula.

请先登录,再进行评论。

更多回答(0 个)

类别

Help CenterFile Exchange 中查找有关 Ordinary Differential Equations 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by