Differential Equation: 1st-Order in Time, 2nd-Order in Space

saravanan13
Messages
52
Reaction score
0
what is the order of differential equation which contains first order in time and second order in space derivative?
 
Physics news on Phys.org
it will be the order of the highest derivative (doesn't matter in respect to what variable).
In your case, it's a second order pde
 
Although it would also be perfectly acceptable to say "The differential equation is of second order in x and first order in t".
 
It is a more specific classification

But in respect to how you solve the PDE, it's only important what's the highest order.

In this matter, how would you classify u_{xt}+blabla=0, first order in time and space, or second-order in both?
 

Similar threads

I Number of solutions to the order of the equation
Replies
2
Views
2K
A Applying the Laplace transform to solve Differential equations
Replies
5
Views
3K
A FEM basis polynomial order and the differential equation order
Replies
1
Views
2K
I Question about the general solution to Hooke's law
Replies
3
Views
2K
I Drawing Direction Fields for Higher Order ODEs
Replies
6
Views
3K
I Vector space for solutions of differential equations
Replies
4
Views
3K
A Solution to a differential equation with variable coefficients
Replies
6
Views
2K
I How do I solve this first order second degree differential equation?
Replies
7
Views
4K
I When is an ODE (numerically) reversible in time?
Replies
4
Views
2K
I Solving Differential Equation Using Reduction of Order
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top