清空筛选条件
清空筛选条件

Solution of nonlinear ordinary differential equation of second order

1 次查看（过去 30 天）
manish jain
manish jain 2023-11-6
回答： Bhumi Desai 2023-11-10
Can anyone let me hownto solve nonlinear ordinary differential equation mathematically, numerically and graphically using matlab. The differential equation is: y" = A (x^4) and y(0) = y(1) = 1
  1 个评论
Dyuman Joshi
Dyuman Joshi 2023-11-6
Do you mind showing how to solve a Differential equation graphically?
Also, did you search on this forum or on the internet for similar questions asked before?

请先登录，再进行评论。

请先登录，再回答此问题。

回答（2 个）

Torsten
Torsten 2023-11-6
编辑：Torsten 2023-11-7
I suggest you integrate the equation
y" = A (x^4)
twice with respect to x and adjust the two free constants from the integration such that the two boundary conditions
y(0) = y(1) = 1
are satisfied.
No MATLAB is required.
Bhumi Desai
Bhumi Desai 2023-11-10
A = 1; % Assumed
syms y(x)
Dy = diff(y);
ode = diff(y,x, 2) == A*(x^4);
cond1 = y(0) == 1;
cond2 = y(1) == 1;
conds = [cond1 cond2];
ySol(x) = dsolve(ode,conds);
ySol = simplify(ySol)

类别

在 Help Center 和 File Exchange 中查找有关 Linear Algebra 的更多信息

标签

产品


版本

R2012b

Community Treasure Hunt

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

Start Hunting!

Translated by