Numerically Solving non-linear differential equation
显示 更早的评论
I want to solve the following ode numerically:
with initial conditions and time span as needed.
3 个评论
Jan
2020-12-21
Okay. What is your question? What have you tried so far and what is your problem?
An ODE must define the deriviative of the function for a specific point and time uniquely.
James Tursa
2020-12-21
编辑：James Tursa
2020-12-21
is this really dy/dt raised to the 4th power as you have written? Or is it really supposed to be the 4th derivative of y? Same question for the squared term. What physical system does this represent?
John D'Errico
2020-12-21
I'd suggest before people run in at full tilt to solve the problem, that you get some confirmation as to the real ODE. Is this a 4th order ODE, or is that the 4th power of the first derivative?
回答（1 个）
Alan Stevens
2020-12-21
I guess you could treat the equation as a quadratic in (dy/dt)^2, solve for that, then take the square root to get an expression for dy/dt in terms of y. You could then define the function
dydt = @(t,y) sqrt((-1+sqrt(1+4/y))/2);
and use ode45 to solve it, once you have set an initial value for y and a time span.
类别
在 帮助中心 和 File Exchange 中查找有关 Ordinary Differential Equations 的更多信息
2020-12-20
2020-12-21
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Translated by 
