Search & Filtering
Solution of second dimentional heat equation in cylindrical cordinates in neumann and mixed boundary conditions?
Solution of second dimensional heat equation in cylindrical cordinates with dririchlet boundary conditions?
Solution of 1 dimensional heat equation in cylindrical coordinates with Neumann boundary condition?
y^3tdy+1/2y^4dt=0
Equation in which M(x,y) and N(x,y) are Linear but not Homogeneous
Find the general solution of the following:
1.) (2x+3y-1)dx-4(x+1)dy=0
2.) (x-4y-3)dx-(x-6y-5)dy=0
(𝑡 +2)^2 𝑦′′ + (𝑡+2) 𝑦′ + 𝑦=0
Is y+P(x)y=Q(x)yn a linear equation for integral value of n. Justify your answer.
Find the value of b for which the equation
(ye^2xy+x)dx +bxe^ 2xy dy= 0
How is a BVP different from IVP?
Q.(a): Construct the solution of the heat equation using separation of variables method:
u_xx=4u_t , 0<x<40, t>0
u(0, t)=0, u(40, t)=0, t>0
u(x,0)= x, 0 less than or equal x less than or equal 20, u(x,0)=40-x, 20 less than or equal x less than or equal 40
(b): Find the steady-state solution of the heat equation u_xx=4u_t , 0<x<40, t>0 that satisfies the Bcs:
u(0, t)=10 , u(40, t)=40
(c): Plot u versus x for several values of t.
(d): Plot u versus t for several values of x.
(e): Determine how much time must elapse before the temperature at x=40 comes within 1 centigrade of its steady state.smi
