In problem use the Laplace transform to solve the given initial-value problem. y' + 4y = e
Question:
In problem use the Laplace transform to solve the given initial-value problem.
y' + 4y = e4t, y(0) = 2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (11 reviews)
Solution Given y 4y e 4t and y02 Now Lft sFs f0 So Ly sYs y0 sYs 2 Ly Ys Le at 1s...View the full answer
Answered By
Ankita Samal
I have completed my graduation from Sambalpur University with Honors in Mathematics. I used to be a sincere student during my education days and always tried to get my concepts clear from my teachers.
I have been working as a Mathematics teacher upto class 10 in St. Thomas English School as soon as I graduated from my University. I even tutor a good number of students at my home so as to ensure their doubts getting cleared. I have into tutoring about 4 years prior to my graduation and that's where I felt that being a teacher would be the right profession for me.
0.00
0 Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
In problem use the Laplace transform to solve the given initial value problem. y' y = 2 cos 5t, y(0) = 0
-
In problem use the Laplace transform to solve the given initial value problem. y'' + 5y' + 4y = 0, y(0) = 1, y'(0) = 0
-
In problem use the Laplace transform to solve the given initial value problem. dy/dt - y = 1, y (0) = 0
-
"A 10% uniaxial tensile strain has been applied to a mouse tail tendon fascicle. Using Davis and De Vita's nonlinear viscoelastic model, plot the change in axial stress over time. Given: c1=20.3 MPa;...
-
Let g(x) := x2 and f (x) := x + 2 for x R, and let h be the composite function h := g f. (a) Find the direct image h(E) of E := {x R : 0 < x < 1}. (b) Find the inverse image h1(G) of G := {x R :...
-
How do the alternatives affect the parties?
-
What is protected visibility? Give an example.
-
The procedures used for over-the-counter receipts are as follows. At the close of each days business, the sales clerks count the cash in their respective cash drawers, after which they determine the...
-
Write a speech on this Thesis. Eating organic foods can have numerous benefits for our health, environment, and economy, and it should be an essential part of our daily diet. Describe in 350 words
-
A simple beam ACB supporting a uniform load q over the first half of the beam and a couple of moment M0 at end B is shown in the figure. Determine the strain energy U stored in the beam due to the...
-
In problem use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. Theorem 7.2.1 0.9s (s - 0.1)(s + 0.2)
-
In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before transforming. {e -t * e t cos t} Theorem 7.4.2 If f(t) and g(t) are piecewise continuous on...
-
Showing all intermediate results, calculate the following expression or give reasons why they are undefined: ab, ba, aA, Bb Let 4 -2 3 -3 A =-2 1 B = -3 6. 1 2 2 -2 1. a = [1 -2 0], 0), b = 3 2 -2
-
Mali Inc. purchased a copper mine on January 1 , Year 1 for $ 2 2 , 0 0 0 , 0 0 0 . 1 1 , 0 0 0 , 0 0 0 pounds of copper are expected to be extracted from the mine. In Year 1 , 1 , 5 0 0 , 0 0 0...
-
Writea 700- to 1,050-word paper in which you summarize legislative tasks and the overall role of the judiciary in shaping public policy. For the samesocial problem and social program you chose....
-
Submit a response to the article Ontario court recognizes new foundation for liability for family violence. Does the expanded definition of family violence in the Divorce Act change your...
-
1.What determines stock market valuations? 2. Is a stock's price primarily determined by the discounted sum of future cash flows, monetary policy, or fear and greed? 3. Is market timing possible...
-
Audrey Inc. manufactures dolls. During 2 0 2 3 , total costs incurred in making 1 0 , 0 0 0 dolls included $ 5 0 , 0 0 0 of fixed manufacturing overhead. The total absorption cost per doll was $ 3 0...
-
In this chapter, you learned that saving is an important part of personal financial planning and that without savings you cannot make investments. One way to invest your savings is to open a tax-free...
-
Where are the olfactory sensory neurons, and why is that site poorly suited for their job?
-
If the distribution of BMI change is approximately normal, then what is the probability that a subject in the active group would lose at least 1 BMI unit over 24 months? Diabetes The Diabetes...
-
What is the probability that a random control group participant would lose at least 1 BMI unit over 24 months? In the control group of the Diabetes Prevention Trial, the mean change in BMI was 0...
-
If we assume that dropouts had the same distribution of change as the subjects in the control group, then what is the probability that an active subject who complied with the intervention lost at...
-
Solve (2.4 x 10-5) X 875 (2.5 x 107) x (2.8 x 107)
-
assume there are no outliers. Draw the boxplot for the following frequency table. You may X f rf cf crf 3 7 0.1228 7 0.1228 4 11 0.1930 18 0.3158 5 9 0.1579 27 0.4737 618 6 0.1053 33 0.5789 10 0.1754...
-
Find the partial derivative of the regularized least squares problem: {) (w + x) (wo + w x ( ) + w x ( ) } + |/\||[w1, w2]|| with respect to wo, w, and w2. Although there is a closed-form solution to...
Study smarter with the SolutionInn App