Question: Solve the initial-value problem. y + 2y = 1, y(0) = 1

Solve the initial-value problem.

y′ + 2y = 1, y(0) = 1

Step by Step Solution

★★★★★

3.49 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

y 2y 1 y0 1 at 2 bt 1 At At 2 d... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Q:

Obtain the Fourier series of the following function 0

Q:

Solve the initial value problem below using the method of Laplace transforms. y" - 3y' - 4y = - 9 cos t-5 sin t, = 1, y' = 0 Click here to view the table of Laplace transforms. Click here to view the...

Q:

Solve the initial value problem for the RLC circuit in Fig. 61 with the given data, assuming zero initial current and charge. Graph or sketch the solution. Show the details of your work. R = 18 , L =...

Q:

solve the following: 1. Given an ordinary differential equation my' + 23; = 4332. and the graph of solution curves (only a few solution curves are shown) 9 Figure 1: Solution curves of my' + 23; =...

Q:

3. Use series to solve the initial-value problem: xy" + 2y +xy =0, y(0) = 1 and y'(0) = 0. Express your final answer as a familiar function

Q:

(a) Solve the differential equation y = 2x1 y2. (b) Solve the initial-value problem y = 2x1 y2, y (0) = 0, and graph the solution. (c) Does the initial-value problem y = 2x1 y2, y (0) = 2, have a...

Q:

Gamma function 1. In class we talked about the Gamma function T(p + 1) := / exx dx which is defined for p > -1. (a) (10 points) Show that for positive p, I(p + 1) = pl(p). (b) (10 points) Show that...

Q:

If y 0 > 1, is the solution y = f (t) of the initial-value problem y = 2y (1 - y), y (0) = y 0 , decreasing for all t > 0? Answer this question based on the slope field shown in Fig. 8.

Q:

Solve the initial-value problem. t dy/dt + 2y = t 3 , t > 0, y(1) = 0

Q:

(a) Solve the initial-value problem y' = 3y + 4, y(2) = 0 y help (formulas)Using separation of variables, solve the differential equation, Use C to represent the arbitrary constant. 31 = f. Using...

Q:

3. Use transformations to obtain the equation, y-intercept, domain, and range of an exponential function. (A) f(x) =() is reflected about the y-axis and stretched vertically by a factor of 2. (B)...

Q:

What are the prevailing attitudes in your culture toward the following: Negotiating methods, Truth in advertising, Company-worker loyalty, Women's place in society, and the Protestant work ethic?...

Q:

Creating and Using a Cost Formula Big Thumbs Company manufactures portable flash drives for computers. Big Thumbs incurs monthly depreciation costs of $15,000 on its plant equipment. Also, each drive...

Q:

E43 Time allowed: 20 minutes Thalassines Kataskeves SA of Greece makes marine equipment. The company has been experiencing losses on its bilge pump product line for several years. The most recent...

Q:

Referring to the previous exercises, the other three lakes have larger harvests that show steep increases over time: Here are values of (O E) 2 /E, the contribution to chi-square, for each cell....

Q:

As we hope you agree, there seem to be two kinds of lakes. Two (Pierce and Seminole) have small harvests that dont show a time trend. Th e other three lakes have much bigger harvests that increase...

Q:

Referring to the previous exercise, what can you say about cause and effect and generalization based on the gator data? Data from previous exercise As we hope you agree, there seem to be two kinds of...

Q:

Aircard Corporation tracks the number of units purchased and sold throughout each accounting period but applies its inventory costing method at the end of each period as if it uses a perpetual...

Q:

I am not sure if these answers are correct. Please fill in the amounts on the right column and explain the calculations used. Specifically the medical expenses and credits and I will give thumbs up ....

Q:

4 Troy Engines, Ltd, manufactures a variety of engines for use in heavy equipment. The com pany has always produced all of the necessary parts for its engines, including all of the carburetors. An...