Question: Verify that y = -7t cos(t) - 7t is a solution of the following initial-value problem. = y + 7+2 sin(t) y (IT) = 0

Verify that y = -7t cos(t) - 7t is a solution

Verify that y = -7t cos(t) - 7t is a solution of the following initial-value problem. = y + 7+2 sin(t) y (IT) = 0 dt y = -7t cos(t) - 7t = dy = dt LHS = t- dy = = 7+2 sin(t) - 7t cos(t) - 7t dt = + y = RHS, so y is a solution of the differential equation. Also y(n) = , so the initial condition is satisfied

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

3. Solve: x' = (7x - 2)t*, x(0) = 1 [Your answer should be solved for x] This equation is separable: dx dt = (7x - 2)t4 1 7x - 2 -dx = t*dt 1 7x - 2' 7dx = t+dt = In|7x - 21 = = +5 + q, In|7x - 2| =...

Given the string vibration problem as follows: . Length of the string is equal 5, tension is 12 and dense is equal 4. . On the left hand end of the string it is given a force equal 5sin2/ and on the...

Math 1330 Precalculus Electronic Homework (EHW 3) Sections 4.1, 4.2 Work the following problems and choose the correct answer. The problems that refer to the Textbook may be found at www.casa.uh.edu...

please help me with this hw , 8.6 Use integral tables to evaluate the integral. I3xw/ 10x - x2 dx Click here to view page 1 of the Table of Integrals. Click here to view page 2 of the Table of...

1. (a) Modify the function ex with 2eqs to solve the IVP (L4.4) for 0 t 50 using the MATLAB routine ode45. Call the new function LAB04ex1. Let [t,Y] (note the upper case Y) be the output of ode45 and...

4.1 Special Right Triangles and Trigonometric Ratios Chapter 4 Trigonometric Functions Section 4.1: Special Right Triangles and Trigonometric Ratios Special Right Triangles Trigonometric Ratios...

Please solve the following problems with the method mentioned in their respective heading Section 3.5: problem. 7, 12. In Problems 1-26, solve the given differential equation by 28. 2y" + 3y' - 2y =...

The solution to the Initial value problem a + 2x + 2x = 5 cos(7t), x(0) = 0, x (0) = 0 is the sum of the steady periodic solution sp and the transient solution atr. Find both T sp and Ctr. 158 36 C...

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Kaffee Ltd has the following standard cost. Notes Standard Sales revenue 16 Direct material 5 per kg 5 Direct labour 4 per hour 8 Budgeted fixed costs were 3,000 and sales in units 4,000 units 2,200...

Assume that the limits of the visible spectrum are arbitrarily chosen as 430 and 680 nm. Calculate the number of rulings per millimeter of a grating that will spread the first order spectrum through...

buys $ 4 8 0 of equipment on credit. what is the balance sheet and statement of cash flows

you are asked to write an investigation on the analysis of calcium metal in water you need to: 1- write a full procedure describing how it will be conducted 2- which method to use 3- introduction on...

A wood beam ABC with Smple Supports at A and B andd an ovrhang the beam is spen of Lo4m and the Suppors supports BC hes heght = y00 mm (See figure) Ahe length of the main span of lengh of the...

Create an outline for your Argumentative Research Paper. Organize your writing by creating an outline which supports your position (your argument assisted suicide should be legalized).

Q-1: Solve the following ODE: d?y (2x + 1)? dy - 6(2x+ 1) +16y = 8(2x + 1)?. dr2 dx

Question 7 . Given the following simple maze, convert the maze into a graph. ( 5 points ) Question 8 . Implement depth first search in the maze function in homework 1 . py . ( 2 0 points ) Question 9...

4. Present multiple themes at once. Then you will get to know a little about how others think, when some of the themes are rejected.

5. Get a third party to mediate, so that both parties have the opportunity to go back to their original negotiating point that they had before the third party put forward his/her proposal.

1. Discuss the following statements: a) What we seek to achieve is different from why we seek to achieve it. b) Thoughts are different from what we are thinking about. c) Writing to find out what one...