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Math
Obtain a solution of the wave equation
∂^2u(x,t)/∂t^2=16(∂^2u(x,t)/∂x^2)
for 0≤ x ≤ π and t > ,0 and the following boundary and initial conditions:
u(0,t)=u(π,t)=0,
u(x,0)=x(π-x) and ∂u(x,0)/∂t=0
∂^2u(x,t)/∂t^2=16(∂^2u(x,t)/∂x^2)
for 0≤ x ≤ π and t > ,0 and the following boundary and initial conditions:
u(0,t)=u(π,t)=0,
u(x,0)=x(π-x) and ∂u(x,0)/∂t=0
Math
Reduce the following PDE to a set of three ODEs by the method of separation of
variables (1/r)(∂/∂r)(r(∂V/∂r)+(1/r^2)(∂^2V/∂θ^2)+(∂^2V/∂z^2)+(k^2)V=0
variables (1/r)(∂/∂r)(r(∂V/∂r)+(1/r^2)(∂^2V/∂θ^2)+(∂^2V/∂z^2)+(k^2)V=0
Q. How to cover a patch(patch of sphere)?
Solve the partial differential equation
(D+D'-1)(D+2D'-3)z=4+3x+6y
(D+D'-1)(D+2D'-3)z=4+3x+6y
Solve the PDE
1.(D^2+D-1)z=4e^(x+y) cos(x+y)
1.(D^2+D-1)z=4e^(x+y) cos(x+y)
Obtain the Fourier series for the following periodic function which has a period of 2π: f(x)=x^2 for−π≤x≤π
Define surface.
Q. The unit sphere S^2 defined by
σ(θ,φ) =(cosθcosφ,cosθsinφ,sinθ)
σ͂(θ,φ) =(-cosθcosφ,-sinθ,-cosθsinφ)
σ(θ,φ) =(cosθcosφ,cosθsinφ,sinθ)
σ͂(θ,φ) =(-cosθcosφ,-sinθ,-cosθsinφ)
The total cost of two calculators and four math sets is R 440.00. If a calculator
costs R 40 more than a math set, what is the cost of each?
costs R 40 more than a math set, what is the cost of each?
Solve the PDE
1.(D^2+D-1)z=4e^(x+y) cos(x+y)
2.(D+D'-1)(D+2D'-3)z=4+3x+6y
1.(D^2+D-1)z=4e^(x+y) cos(x+y)
2.(D+D'-1)(D+2D'-3)z=4+3x+6y
