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wweaoomm The motion of a particle is modelled by: 'U% + 4x = 0 where x is the displacement of the particle in m from its starting point, and v is the velocity of the particle in m/s The following data was obtained: When the displacement of the particle was 1m, the velocity of the particle was 4m/s Solving this differential equation with the information available you get: v"2:C]-Ux"2 What is C, the constant of integration, when you solve the following differential equation using the data provided: @ _ )10:1: dm 30L with y = 300 when x = 0. Answer: Solve the following ordinary differential equation: dT 2n In(n) . dn O A. T = n^2 In(n) - 1/2 n^2 + C O B. T = 2 + C O C. T = n^2 In(n) + 1/2 n^2 + C O D. T = n^2 In(n) - 2n + C O E. T= n In(n) + n + C O F. T = 1/2 n^2 (n In(n) - n) + CWhen you solve the following differential equation by integration: dw = 16 sin(2m), dm you get a solution of w x/ 8 cos(2m)+C 8 cos(2m)+C 8 sin(2m)+C 8 sin(2m)+C 32 cos(2m)+C 32 cos(2m)+C Consider the following differential equation: You are given the following data: When you solve this differential equation you get: What is the constant A