Transform the differential equation Therefore Y = into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). 0-0 +²7 +3 + 7 + 4 s+8 Taking the inverse Laplace transform we get 2y" +22y" - 98y' - 1078y: y(0) = 0 y (0) = 0 y" (0) = 1 -8t = 6e-

Transform the differential equation Therefore Y = into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). 0-0 +²7 +3 + 7 + 4 s+8 Taking the inverse Laplace transform we get 2y" +22y" - 98y' - 1078y: y(0) = 0 y (0) = 0 y" (0) = 1 -8t = 6e-

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...

See similar textbooks

Similar questions

YOUR TURN Find dy/dx if y=5x2-6x-2.
YOUR TURN Suppose x are y are both functions of t and x3+2xy+y2=1. If x=1, y=2, and dxdt=6, then find dydt.
Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be described by the differential equation dPdR=4DRP2 where D is the density of the plants in an area. Source: Ecology. Given the initial condition P(0)=1, find a formula for P in term of R.
Use the total differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the differences in the two results to 4decimal places. (2.9320.942)13
Transform the differential equation into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). 0-0 Therefore Y - +3 8+1 9y" + 14"-81y - 126y=5e-t y(0) = 0 /(0) = 0 y" (0) = 1 Taking the inverse Laplace transform we get
(2s-8.4) find the inverse transform of s2+0.4s–0.21
Transform the differential equation 5y" + 17y/" - 80/ – 272y = 2e y(0) = 0 /(0) = 0 /(0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s). Therefore Y 14 Taking the inverse Laplace transform we get
·00 Find the Fourier Transform of x(t) = e-t² and solve e-t² dt
Find Fourier transform, magnitude, phase of a one-sided exponential function: x(t) = e-2t
Typo for the first equation of 2.1. the real equation is: y'(t) = (0.5 + sint)y/5 *this is not a graded assignment*.
Find Fourier transform for the following functions:x(t)=3+(sin2wt)2
pls solve the inverse laplace transform of this function. you can use the table of laplace transformations in answering this 1/ (s3 +2s)