Solve the equation ut = uxx with the boundary conditions u(x,0) = 3 sin (nπx) and u(0,t)=0=u(1,t) where 0

\(∑_{n=1}^∞ \) e-n2 π2 t cos(nπx)

\(3∑_{n=1}^∞ \) e-n2 π2 t cos⁡(nπx)

\(∑_{n=1}^∞ \) e-n2 π2 t sin⁡(nπx)

\(3∑_{n=1}^∞ \) e-n2 π2 t sin⁡(nπx)

\(∑_{n=1}^∞ \) e-n2 π2 t cos(nπx)

Solve the equation ut = uxx with the boundary conditions u(x,0) = 3 s

1.	Solve the equation ut = uxx with the boundary conditions u(x,0) = 3 sin (nπx) and u(0,t)=0=u(1,t) where 0
A.	\(3∑_{n=1}^∞ \) e-n2 π2 t cos⁡(nπx)
B.	\(∑_{n=1}^∞ \) e-n2 π2 t sin⁡(nπx)
C.	\(3∑_{n=1}^∞ \) e-n2 π2 t sin⁡(nπx)
D.	\(∑_{n=1}^∞ \) e-n2 π2 t cos(nπx)
Answer» D. \(∑_{n=1}^∞ \) e-n2 π2 t cos(nπx)