Which of the followings is the correct classification of the differential equation (32")3 + 2xx' –...
thanks for help please quickly 2. Which of the followings is the correct classification of the differential equation (2)3 + 2r:' - 1tx = 0. a) 3rd order, 2nd degree, linear, ODE b) and order, 3rd degree, non-linear, ODE c) 2nd order, 3rd degree, non-linear, PDE d) 2nd order, 3rd degree, linear, PDE e) 3rd order, 2nd degree, non-linear, ODE de
Determine the order and linearity of the differential equation: I do 3 (Copy) + y = 0. dx ) (A) First order and linear (B) Third order and linear (C) Fourth order and linear (D) First order and nonlinear (E) Third order and nonlinear (F) Fourth order and nonlinear
(3 points) For the partial differential equation –7824 au aray - 7 - 9 – 7u = 0 the discriminant is ar2 The PDE is (check all that apply) A. hyperbolic B. parabolic c. elliptic D. separable E. inseparable
Engineering Mathematics 1 Page 3 of 10 2. Consider the nonhomogeneous ordinary differential equation ry" 2(r (x - 2)y 1, (2) r> 0. (a) Use the substitution y(x) = u(x)/x to show that the associated homogeneous equation ry" 2(r (x - 2)y 0 transforms into a linear constant-coefficient ODE for u(r) (b) Solve the linear constant-coefficient ODE obtained in Part (a) for u(x). Hence show that yeand y2= are solutions of the associated homogeneous ODE of equation (2). (c) Use...
3) Start with the non-linear force equations and rewrite this as three(3) first-order Ordinary Differential Equations (ODE) or (u, d, w
(1 point) It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved...
please make sure u solve in clear steps and 100% correct 4. (21 pts) Laplace Transforms of ODE-A mechanical system has the following 2nd order differential equation describing its position x(t): d+x(e) – 4 dx(t) + 4x(t) = 0. The initial conditions are: x'= 3.9m/s and x(@) = 2.1m a. (3 pts) Convert the differential equation into the s-domain. Substitute in the initial conditions as needed XCS/ dt2dt
The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's equation of order n d. Bessel's equation of order 1/16 e. Legendre's equation of order 1/4 The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's...
32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with the initial condition g(-12 ,then lim slx) =-1, then lim g(x) is (B) -2 (C) 0 (D) 2 (E) 3 32 111 8. Shown above is a slope field for the differential equation d dy 2 4 v2 If y - g(r) is the solution to the differential equation with...
1. Classify each ordinary differential equation as to order (1st, 2nd, etc) and type (linear/nonlinear). a) y' + 2y + 3y = 0 b) y" + 2yy + 3y = 0 c) y" + 2y' + 3xy - 4e" y sin 3