Detailed explanations with answers will be appreciated!
Detailed explanations with answers will be appreciated! Problem 2. Solve the variational problem 10- 16r - 8r with the initial condition (0)0 and in each case of the terminal condition: Problem...
Please help me solve this problem, a detailed presentation of each step would be greatly appreciated! 1. Find the cost minimizing amount of L and K to produce 60 units of output when w=1 and r=2 2. Using the results from question 1, if the price of Q is $10/unit, calculate your profits froproducing 60 units.
convert boundary condition problem to initial condition problem and solve with using classical R-K 4. ff" +2f" = 0 with the boundary conditions n = 0 f = f' = 0 n + f' = 1
Solve the initial value problems and classify the equilibrium point initial condition O) 2 y(0) 1 dt 1) with the initial condition dt
1. Solve the Cauchy problem (2.1)-(2.2) for the following initial condition a) $(x) = 1 if |2<1 and $(x) = 0 if |z| > 1. b) p(x) = e-x, x > 0; $(x) = 0, x < 0. with the heat, or diffusion, equation on the real line. That is, we We begin with the hea sider the initial value problem Ut = kuxx, XER, t > 0, u(x,0) = 0(2), XER. (2.1) (2.2)
Can someone solve this for me along with detailed explanations? 0 1/3 1 Let A= 1/3 1 0 1/3 Numerically verify that each initial state vector x T0.561 has the given steady-state vector x. T0.46 0.34 0.44 0.2 0 0.28 0.455 0.37 0.545 1 0.35 0 Aao Ax1 = = A 1 A4xo ASx 0 1/3 1 Let A= 1/3 1 0 1/3 Numerically verify that each initial state vector x T0.561 has the given steady-state vector x. T0.46 0.34...
Problem 2. (a) Solve the initial value problem I y' + 2y = g(t), 1 y(0) = 0, where where | 1 if t < 1, g(t) = { 10 if t > 1 (t) = { for all t. Is this solution unique for all time? Is it unique for any time? Does this contradict the existence and uniqueness theorem? Explain. (b) If the initial condition y(0) = 0 were replaced with y(1) = 0, would there necessarily be...
if whoever answers this could be detailed with explanations please! 1 -3 -2 -5 -14 -6-3-8 -21 2 8.(15 pts. total) M= is row equivalent to -2 6 1 4 5 -9 -2-7 -14 + (1-3 0-1 0 0 0 2 7 2 Pivels L 0 0 0 0 0 0 0 0 0 0 (a) Find k and/ so that Nul Mc R and Col Mc R (b) Without calculations, list rank M and dim Nul M. (c) Find...
3. Solve y" + 2ay' +y -sin(t) with initial condition y(0) -y'(0)0 for all values of a 2 0. Plot the amplitude of oscillations as a function of w for α-1/2 W1 3. Solve y" + 2ay' +y -sin(t) with initial condition y(0) -y'(0)0 for all values of a 2 0. Plot the amplitude of oscillations as a function of w for α-1/2 W1
x = x 2 e-t, with the initial condition X (0)-1 (solve with Separation of Variables method)
Problem 2.7.26. Solve the parabolic problem ubject to the nonhomogeneous boundary conditions u(t,0)-1 and u(t,1)or 0 and the initial condition u(0,x)(x for xE(0,1) for some given function f:(0,1) R. Problem 2.7.26. Solve the parabolic problem ubject to the nonhomogeneous boundary conditions u(t,0)-1 and u(t,1)or 0 and the initial condition u(0,x)(x for xE(0,1) for some given function f:(0,1) R.