this is from differential
equations. if someone can do the whole sheet except for question 10
if you could do two to of them, I would greatly appreciate it.
thank you in advance.
this is from differential equations. if someone can do the whole sheet except for question 10...
DIFFERENTIAL EQUATIONS / Linear Algebra
Only people that are proficient in DIFFERENTIAL EQUATIONS should
even attempt to solve. No beginners or amateurs allowed.
Please write clearly and legibly. No sloppy Handwriting. I must
be able to clearly and easily read your solution and answer.
Circle final answer.
7.10.6 Question Help Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y' denote differentiation with respect to t. x(0) = 0 X' - 3x-9y =...
Please answer parts c-d only.
4. In lab 4 we consider the differential equation y" 2yywyF(t) for different forcing terms F(t). In this problem we analyze this equation further using Laplace transforms 0, t<1 (a) Consider y" + y, +40y-1(t), where I(t)- t < 2. Find 1 1, 0. t>2 the forward transform Y-E(y) if y(0)-y(0)-0 (b) Solve y" + y, + 40y-1, y(0) = y'(0) = 0, using Laplace transforms Notice how the value of Y (s) you obtain...
DIFFERENTIAL EQUATIONS / Linear Algebra
Only people that are proficient in DIFFERENTIAL EQUATIONS should
even attempt to solve. No beginners or amateurs allowed.
Please write clearly and legibly. No sloppy Handwriting. I must
be able to clearly and easily read your solution and answer.
Circle final answer.
7.10.4 Question Help Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y' denote differentiation with respect to t x' - 6x + 2y = sint...
a) Find the general solution of the differential equation Y'(B) + 2y(s) = (1)3 8>0. b) Find the inverse Laplace transform y(t) = --!{Y(s)}, where Y(s) is the solution of part (a). c) Use Laplace transforms to find the solution of the initial value problem ty"(t) – ty' (t) + y(t) = te", y(0) = 0, y(0) = 1, fort > 0. You may use the above results if you find them helpful. (Correct solutions obtained without Laplace transform methods...
Use the method of Laplace transforms to find a general solution to the differential equation below by assuming that a and bare arbitrary constants. y'' + 2y' + 2y = 1, y(0) = a, y' (O) = b Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 1 (Type an exact answer in terms of e.)
(1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: y-y={o. ist 1, 031<1. y(0) = 0 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation obtained by taking the Laplace transform of the initial value problem (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y) = (1 point) Consider the initial value problem O +6y=...
please please please answer all! its very appreciated!
Solve the initial value problem below using the method of Laplace transforms. y'' + 4y' - 12y = 0, y(0) = 2, y' (O) = 36 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 0 (Type an exact answer in terms of e.) Solve the initial value problem below using the method of Laplace transforms. y'' - 8y'...
Differential Equations Project - must be completed in Maple 2018 program NEED ALL PARTS OF THE PROJECT (A - F) In this Maple lab you learn the Maple commands for computing Laplace transforms and inverse Laplace transforms, and using them to solve initial value problems. A. Quite simply, the calling sequence for taking the Laplace transform of a function f(t) and expressing it as a function of a new variable s is laplace(f(t),t,s) . The command for computing the inverse...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" - 25y = g(t), y(0) = 1, y'(0) = 4, where g(t)= [ t, t>2 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) (Type an exact answer in terms of e.)
Consider the following integral equation, so called because the
unknown dependent variable y appears within an
integral:
t
∫
0
sin[5(t − w)] y(w) dw
= 5t2
This equation is defined for t ≥ 0.
(a)
Use convolution and Laplace transforms to find the Laplace
transform of the solution.
(b)
Obtain the solution y(t).
Consider the following integral equation, so called because the unknown dependent variable y appears within an integral: Ś sin sin[5(t – w)] y(w) dw = 5t2...