# Math Help - Separation of variables

1. ## 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 $u(x,\,0)=u_{t}(x,\,0)=0.$

2. 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?