
Show all steps in obtaining the analytical solution of dU 6 - 4e-3 with U(0)=0 dt
slove the system eqution: d^3y(t)/dt^3 - 2 d^2y(t)/dt^2 - 5 dy(t)/dt +6 y(t) = 2 d^2u(t)/dt^2 +du(t)/dt +u(t) A) compute the transfer function Y(s)/U(s)? B)Find inverse Laplace for y(t) and x(t)? C) find the final value of the system? D)find the initial value of the system? Please solve clearly with steps.
Find the solution of the differential equation that satisfies the given initial condition. du dt 2u 2t + sec?(6), (0) = -5 U = Vz2+ 2 + tan(t) + 25
Solve the IBVP wave equation. d^2/dt^2=16d^2/dx^2 0<x<pi u(x,0)=sinx du(x,0)/dt=0 u(0,t)=u(pi,t) =0 t>0
Find the solution of the differential equation that satisfies the given initial condition. du dt 2u 2t + sec?(t), u(0) = -5 U = V2 + tan(t) + 25 X
dy Find the general solution of the differential equation: dt 2ty + 4e -ť. What is the integrating factor? u(t) = Use lower case c for the constant in answer below. y(t) =
Problem 6 Show that dq dt Has a solution of L/Ck + k If EO) Eo and q(0) NOTE: This is a relatively long derivation. Show all your steps and recall the rules of exponents.
Starting with an expression for U(S.V), show that m(V) = (dU/dV)T is given by Tt(v)= (dp/dT)V-P.
Find the particular solution of differential equation -t du 2e dt at, initial condition, a 2(0)=1.
3. Consider the following stiff system of autonomous ordinary differential equations du f(u, u) =-3u +3, u(0)2 = ' dt de g(u, v) -2000u - 1000, v(0)-3 Note that 1 u<2 and -4 <v < 3 for all t. (a) Find the Jacobian matrix for the system of equa tions (b) Find the eigenvalues of the Jacobian matrix. (c) In the figure the shaded region shows the region of absolute stability, in the complex h plane, for third order explicit...
help, pls tq.
4. Consider the first order autonomous system d13-1 0)-1. (a) Estimate the solution of the system (1) at t0.2 using two steps of Euler's method with 2v, u(0)0 step-size h 0.1 T1+C2+A1-4 (b) An autonomous system of two first order differential equations can be written as: du dt=f(mu), u(to) = uo, dv dt=g(u, u), u(to) to. The Improved Euler's scheme for the system of two first order equations is tn+1 = tn + h, Use the Improved...