Find the length of the curve
1) x=2sin t+2t, y=2cos t, 0≤t≤pi
2) x=6 cos t,...
Find the length of the curve
1) x=2sin t+2t, y=2cos t, 0≤t≤pi
2) x=6 cos t, y=6 sin t, 0≤t≤pi
3) x=7sin t- 7t cos t, y=7cos t+ 7 t sin t, 0≤t≤pi/4
Solve the BVP for the wave equation
∂^2u/∂t^2(x,t)=∂^2u/∂x^2(x,t), 0 < x < pi, t
> 0
u(0,t)=0,...
Solve the BVP for the wave equation
∂^2u/∂t^2(x,t)=∂^2u/∂x^2(x,t), 0 < x < pi, t
> 0
u(0,t)=0, u(pi,t)=0, ? > 0,
u(0,t)=0, u(pi,t)=0, t>0,
u(x,0)= sin(x)cos(x), ut(x,0)=sin(x), 0 < x < pi
Solve the below boundary value equation
1. Ut=2uxx o<x<pi 0<t
2. u(0,t) = ux(pi,t) 0<t
3....
Solve the below boundary value equation
1. Ut=2uxx o<x<pi 0<t
2. u(0,t) = ux(pi,t) 0<t
3. u(x,0) = 1-2x 0<x<pi
Solve the wave equation:
utt = c2uxx, 0<x<pi, t>0
u(0,t)=0, u(pi,t)=0, t>0
u(x,0) = sinx, ut(x,0)...
Solve the wave equation:
utt = c2uxx, 0<x<pi, t>0
u(0,t)=0, u(pi,t)=0, t>0
u(x,0) = sinx, ut(x,0) = sin2x, 0<x<pi