Problem 2.37 Solve the following problems for x(t). Compare the values of x (0+) and x (0). For p...
For the following ODE i. Solve for x(t) Compare the values of x(0) and x(0 ii. -) ii Compare the values of x (0+) and x(0) 2%(t) + 30X(t) + 112x(t) = 50(t), x(0-)-x(0-) = 0
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i, where f(t)-〈0 otherwise. (b) z', +x-f(t), x(0) 0, z'(0)=1, where t/2 if 0 t< 6, 3 ift26 f(t)
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i,...
10) 3. Solve the following initial value problems using Laplace transforms. [(a)] (a) x." - 2x + 2x = e..(0) = 0, /'(0) = 1 (b)" - r = 8(t)..(0) = (0) = 0 (20
Problem 5: Solve the following problems using the Laplace transform method: a. 10x= 20 x(0)0, (0) x(0) 0,(0) x(0) 0, (0)2 x(0) 0,(0)3 6ï+24i+24x = 36 b. c. i+9x 36 +10+29x = 58 d.
Solve the following problems: ut(x, t)--uxx (x, t) n(x,t), i, (x, t ) → 0, u(x,0) - e-' u, (x,t) + 2u, (x,)-u(x,t) n(x,t), u(x,0)-f(x), u.(x,0)-g(r) u,, (xs (x,t) 4 a) as|x| → t>0 b) as|x| → 0 u(x,0)-f(x), u.(r,0)-g(x) (Write the answer in the inverse Fourier Transform.) n(x, 0) = f(x)
Solve the following problems: ut(x, t)--uxx (x, t) n(x,t), i, (x, t ) → 0, u(x,0) - e-' u, (x,t) + 2u, (x,)-u(x,t) n(x,t), u(x,0)-f(x), u.(x,0)-g(r) u,, (xs...
Solve the following system of DEs
with initial conditions x (0) = 2, and (0) = 4, x
0
(0) = 0, and
Y
0
(0) = 0 In this problem x = x (t) and y = y (t). Indicate
in order the values of A, B, C, and D (B <D) so that
x (t) = Ae^(Bt) + C e^(Dt)
be the solution x (t).
Answer:8. Resuelva el siguiente sistema de EDs con condiciones iniciales x(0) 2, y(0...
1 point) Solve the nonhomogeneous heat problem
ut=uxx+4sin(2x), 0<x<π,ut=uxx+4sin(2x), 0<x<π,
u(0,t)=0, u(π,t)=0u(0,t)=0, u(π,t)=0
u(x,0)=5sin(5x)u(x,0)=5sin(5x)
u(x,t)=u(x,t)=
Steady State Solution limt→∞u(x,t)=limt→∞u(x,t)=
Please show all work.
(1 point) Solve the nonhomogeneous heat problem Ut = Uxx + 4 sin(2x), 0< x < , u(0,1) = 0, tu(T, t) = 0 u(x,0) = 5 sin(52) u(a,t) Steady State Solution limt u(x, t) = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts...
Peoblem 3: Solve the following problems
Problem 3. Solve the following problems: (a) y+ ty -y-0, y(0)-0, (0) 1. (b) ty"+(1 -2t)-2y0, y(0) 1, y'(0) -2 (c) ty" + (t-1)/-y 0, y(0) 5, lime y(t) 0. t-+00
Problem 3. Solve the following problems: (a) y+ ty -y-0, y(0)-0, (0) 1. (b) ty"+(1 -2t)-2y0, y(0) 1, y'(0) -2 (c) ty" + (t-1)/-y 0, y(0) 5, lime y(t) 0. t-+00
Solve the following problem u(0, t) 0, u(1,t)-0, t> 0 a(x,0) = f(x), 0 < x < 1 lu (x, 0) = 0, 0
Use the Laplace transform to solve initial value problems
3. tx" + 2(t-1)x' - 2x = 2, x(0) = 0.