Question

In: Advanced Math

u=sinatsinbx Show that this function u is a solution of the partial differential equation u_tt =...

u=sinatsinbx

Show that this function u is a solution of the partial differential equation u_tt = c ^ 2*u_xx and find the appropriate c.

Solutions

Expert Solution


Related Solutions

Consider the following one-dimensional partial differentiation wave equation. Produce the solution u(x, t) of this equation....
Consider the following one-dimensional partial differentiation wave equation. Produce the solution u(x, t) of this equation. 4Uxx = Utt 0 < x 0 Boundary Conditions: u (0, t) = u (2π, t) = 0, Initial Conditions a shown below: consider g(x)= 0 in both cases. (a) u (x, 0) = f(x) = 3sin 2x +3 sin7x , 0 < x <2π (b) u (x, 0) = x +2, 0 < x <2π
a. tan ^ -1(y/x) Show that the function u(x,y)define classical solution to the 2-dimentional Laplace equation...
a. tan ^ -1(y/x) Show that the function u(x,y)define classical solution to the 2-dimentional Laplace equation Uxx+Uyy =0 b. e ^ -(x-2t)^2 Show that the function u(t,x) is a  solution to wave equation
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order...
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order to find y2(x) x2y'' − xy' + 17y = 0 ;   y1=xsin(4In(x))
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order...
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). x2y'' − xy' + 26y = 0; y1 = x sin(5 ln(x)).......................................
How do you solve this? Find the general solution of the given differential equation Show all...
How do you solve this? Find the general solution of the given differential equation Show all steps y''-5y'-6y=10tsin(3t)
Solve the partial differential equation by Laplace transformu_x (x,t)+u_t (x,t)=e^3t given that u(x,o)=0 , u(o,t)=e^3t
Solve the partial differential equation by Laplace transformu_x (x,t)+u_t (x,t)=e^3t given that u(x,o)=0 , u(o,t)=e^3t
What differential equation is the one-dimensional potential equation? What is the form of the solution of...
What differential equation is the one-dimensional potential equation? What is the form of the solution of the one-dimensional Dirichlet problem? The one-dimensional Neumann problem?
I need a partial differential EQUATION to govern the pressure change for a steady state fluid...
I need a partial differential EQUATION to govern the pressure change for a steady state fluid inside a horizontal pipe. please, make some clarafication if possible. thanks.
y'=√2x+y+1 general solution of differential equation
y'=√2x+y+1 general solution of differential equation
Find the power series solution of the differential equation using the FROBENIUS METHOD xy"+y'+4xy=0 Show all...
Find the power series solution of the differential equation using the FROBENIUS METHOD xy"+y'+4xy=0 Show all of the steps.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT