Please show all work the laplace Gansform 121 Galue the differential equation using dy ty=est dt
2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1 2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1
Solve the system of differential equations using Laplace transformation dx dy dt - x = 0, + y = 1, x(0) = -1, y(0) = 1. dt You may use the attached Laplace Table (Click on here to open the table) Paragraph В І
Find the time constant t of the following differential equation: a(dy/dt)+by+cx=e(dx/dt)+f(dy/dt)+g, of the given that x is the inout, y is the output, and a through g are constants. 13, Find the time constant τ from the following differential equation, dt dt given that x is the input, y is the output and, a through g are constants. It is known that for a first-order instrument with differential equation a time constant r- alao dy the 13, Find the time...
dy + ty 3ty2. Use Bernouli's Equation to solve dt 1.
Differential Equation Show all work. Don't use shortcuts. 4. Solve the following problem using the Laplace transform method y,, + y, + y = sin t, y(0) = 1, y,(0) = 0.
xtra points: Solve the following differential equation with initial condi- tion by using the Laplace transform method 3 y(0) =-1 dy dt (0) = 2
Please show all work if possible, thanks! Show that the system of differential equations is Hamiltonian, and find a Hamiltonian function H(x,y). You may assume that H(0,0) = 0. 3y2 - 2.c dx dt dy dt 6x2 + 2y
Laplace transfer functions and ODE? 1) Here is a differential equation. Please find the Laplace transfer function C(s)/R(s). Note that Initial conditions are zero. ***answer provided, please show work ANS: 2) Here is a Laplace transfer function. Please find the corresponding ODE. ANS: dct) 9, ... - 4 20rc and²c(t) , - dt2 CE) 2 dct) dr(t) . - + 20r(t) + 5 - 2- d+3 dt dt² 57년 5월 S P(s) = C(9) = 52+4 R(S) (s*+1) dic tur...
Please show all work . Differential equation
6) a) Solve the following differential equation using the Laplace transform method. dy = 1.87ylt) + 4.05 y0) = 1 You may need the expression, 1.05 4.05 s(s - 1.87) 1.87(s - 1.87) 4.05 1.87s [8 marks] b) Solve the following differential equation using the Laplace transform method. dºy + 2.61X + 6.55y(t) = 0 y(0) = 1, y'(0) = 1 2. You may need the expression, s +1 +2.61 52 +2.615 +6.55 *2.01.2015 - | 1+2,61 (8+2.01) + ((6.55-...