Challenging:How to Solve 2 Non-Linear ODEs?

  • Thread starter Thread starter Aloosh
  • Start date Start date
  • Tags Tags
    Non-linear Odes
Aloosh
Messages
1
Reaction score
0
How to solve two nonlinear ODEs with boundary conditions?

Here is the Q:
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    20.6 KB · Views: 484
Physics news on Phys.org
your equations are linear, with constant coefficients
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

I When is an ODE (numerically) reversible in time?
Replies
4
Views
2K
I How to do Magnus expansion for time-dependent companion matrix?
Replies
7
Views
2K
I Question about solving linear first order non-homogeneous ODEs
Replies
3
Views
3K
I Converting Second Order ODE to Hypergeometric Function
Replies
7
Views
3K
A Green's function for Sturm-Louiville ODE
Replies
3
Views
2K
I Can we solve a non-autonomous diffeq via Taylor series?
Replies
5
Views
2K
I Non-linear ODE: initial conditions
Replies
4
Views
2K
A Seeking advice about solving an ODE
Replies
3
Views
3K
A Identifying and solving a pair of ODE's
Replies
6
Views
2K
I ODE with non-exact solution: closed-form, non-iterative approximations
Replies
3
Views
3K

Hot Threads

Recent Insights

Back
Top