Describe in a general way equilibrium equations to find reaction in supports . Denote necessary intervals...
1.Describe in a general way equilibrium equations to find reactions in supports. Denote neccessary interva ls by corresponding characters. 21 1P
1.Describe in a general way equilibrium equations to find reactions in supports. Denote neccessary interva ls by corresponding characters. 21
1P
Find the general solution of the system of equations and
describe the behavior of the solution as t→∞:
1. Find the general solution of the system of equations and describe the behavior of the solution as t → 00: 2 (a) x (+1)=(x = (* =3)* (c) x' = х -1
Find the general solutions (implicitly if necessary, explicitly if convenient) of the separable differential equations. dy/dx = ysinx
Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2 ... to denote arbitrary constants as necessary. y"(t) = sin6t + 20e b) (5 points) Solve the following separable differential equation for the given initial condition. y')= (1) = 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y't) + 7y - 3,y(0) - 1 d) (2 points) State the equilibrium solution and whether it is stable...
1. For the following systems of differential equations: (i) Find the general solution. (ii) Plot the phaseportrait and characterize the equilibrium. (iii) Choose an initial condition x(0) in the phase plane, and sketch the components r(t) and y(t) of the corresponding solution x(t) vs t, in two additional plots. (a) x' = G =)
1. For the following systems of differential equations: (i) Find the general solution. (ii) Plot the phaseportrait and characterize the equilibrium. (iii) Choose an initial condition x(0) in the phase plane, and sketch the components z(t) and y(t) of the corresponding solution x(t) vs t, in two additional plots. *(*= 1) = x (0)
Show all necessary equations or conversion factors. c. Write a reaction equation that corresponds to the following equilibrium expression: K = [PH3] [F2]3 / [HF]3[PF3]
a) (3 points) Find the general solution to the equation. Use C, G.C.. to denote arbitrary constants as necessary y"(.) - 45e + sint b) (5 points) Solve the following separable differential equation for the given initial condition In (1) 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition y' .9 -3, y(0- 1 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y'(t) + 9 =...
Find the general solution to the system of linear differential equations X'=AX. The independent variable is t. The eigenvalues and the corresponding eigenvectors are provided for you. x1' = 12x1 - 8x2 x2 = -4X1 + 8x2 The eigenvalues are 11 = 16 and 12 = 4 . The corresponding eigenvectors are: K1 = K2= Step 1. Find the nonsingular matrix P that diagonalizes A, and find the diagonal matrix D: p = 11 Step 2. Find the general solution...
Differential Equations
Find a general solution of the system x'(t)=Ax(t) for the given matrix A. 8 13 5 -8 x(t) (Use parentheses to clearly denote the argument of each function.)