# Separation of variables

• March 11th 2010, 12:30 PM
Cairo
Separation of variables
By the method of separation of variables, solve the equation

$u_{tt}+4u_{t}-u_{xx}=5\sin(2\pi x)$

for $0\leq x\leq1$ with boundary conditions $u(0,\, t)=u(1,\, t)=0$ and initial conditions $u(x,\,0)=u_{t}(x,\,0)=0.$
• March 11th 2010, 01:54 PM
mr fantastic
Quote:

Originally Posted by Cairo
By the method of separation of variables, solve the equation

$u_{tt}+4u_{t}-u_{xx}=5\sin(2\pi x)$

for $0\leq x\leq1$ with boundary conditions $u(0,\, t)=u(1,\, t)=0$ and initial conditions $u(x,\,0)=u_{t}(x,\,0)=0.$

Are you familiar with the method? What have you tried and where do you get stuck?