Need step by step how it works. Solve th following using laplace transtorms (u=ult,x) ul0,x) =...
Find the frqeuncy response and impulse response of the system with the output y(t) for the next input x(t) Please, Solve (a) and (c) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult) x)e u(t), ()eu(te ult)
2. Solve for u(x,t) using Laplace transform (13.5.5) a(x,0) /ar f(x). = 2. Solve for u(x,t) using Laplace transform (13.5.5) a(x,0) /ar f(x). =
3. Solve the following integral equations using Laplace transforms. (a) (t)= te! - 2e x(u)e"du (b) y(t) 1 - sinht +(1+T)y(t - T)dT. netions 3. Solve the following integral equations using Laplace transforms. (a) (t)= te! - 2e x(u)e"du (b) y(t) 1 - sinht +(1+T)y(t - T)dT. netions
2. Solve the following partial differential equation using Laplace transform. Express the solution of u in terms of t&x. alu at2 02u c2 2x2 u(x,0) = 0 u(0,t) = f(t) ou = 0 == Ot=0 lim u(x, t) = 0
(1 point) This problem is concerned with using Laplace transforms to solve PDEs. Given du ди -(x, t) + x -(x, t) = x, x > 0, t> 0 дt дх u(0,t) = 0 t > 0, u(x,0) = 0, x > 0. Find the Laplace transform of u(x, t) which we denote by U(x, s) U(x, s) The find the solution u(x, t) (Note that your answer may require the Heaviside function, i.e., unit step function. In webwork this...
Please show how to solve b) step by step. please to include the parameter u(t) FIGURE 2.23 2.18 Find state-space equations to describe the pendulum systems in Fig. 2.24. The systems are useful to model one- or two-link robotic manipulators. If e, 81, and O2 are very small can you consider the two systems as linear? m 1 " m2 ult) - mg (a) FIGURE 2.24
5) Use the method of Laplace transforms to the solve the following boundary value problem IC: u(x, 0) 2 in the following way: a) Apply the Laplace transform in the variable of t to obtain the initial value problem b) Show that U =-+ cie'sz +cge-Vsz s the general solution to the above equation and solve for the constants c and c2 to obtain that c) By taking a power series about the origin and using the identities, sinh iz-...
Solve the following initial boundary value problem using Laplace transform.$$ \begin{aligned} u_{t} &=u_{x x}+t e^{-\pi^{2} t} \sin (\pi x), & 0<x<1, t="">0 \\ u(0, t)=0, & u(1, t)=0, & t>0 & \\ u(x, 0) &=\sin (2 \pi x) & & \end{aligned} $$
Please help me solve this problem step by step Consider the following signals: X(t) = e-4u(t). h(t) = e3t (ult – 2) – uſt – 8)). (a) Sketch h(t) and x(t). (b) Determine y(t) = h(t) * x(t). (c) Answer the following questions about the function y(t) you found on the previous page: (i) Is y(t) guaranteed to be equal to zero for any values of t? If so, which values of t? (ii) What does y(t) look like as...
Shavon Clarke 1235) y'' (t) +23y' (t)+120y (t)-o and y(0)#5 and y' (0)-0. The first step in solving this DEQ using the Laplace Transform procedure is to take the Laplace Transform of the DEQ. Determine the Laplace Transform of this DEO. The second step in the Laplace Transform procedure is to solve for Y (s). Determine Y ()(As+B/(s2+Ds+E). Show all the algebraic steps along the way. ans:4 Shavon Clarke * EXAM INSTRUCTIONS BELOW ** Shavon Clarke 1235) y'' (t) +23y'...