Question: Verify that the given function y is a solution of the initial value problem that follows it. y = 8t 6 - 3; ty'(t) -

Verify that the given function y is a solution of the initial value problem that follows it.

y = 8t6 - 3; ty'(t) - 6y = 18, y(1) = 5

Step by Step Solution

★★★★★

3.40 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

y 8t6 3 so y 48... 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 Calculus Early Transcendentals Questions!

Q:

Verify that the given function y is a solution of the differential equation that follows it. Assume that C, C 1 , and C 2 are arbitrary constants. y = C 1 e -x + C 2 e x ; y"(x) - y = 0

Q:

Find y(t) solution of the initial value problem 2 y2 + bt? y' = ty y(1) = 1, t> 0, %3D

Q:

Verify that y is a solution of the ODE. (b) Determine from y the particular solution of the IVP. (c) Graph the solution of the IVP. y' tan x = 2y - 8, y = c sin 2 x + 4, y(1/2) = 0

Q:

Verify that the given function y is a solution of the initial value problem that follows it. y = 1/4 (e 2x - e -2x ); y"(x) - 4y = 0, y(0)= 0, y'(0) = 1

Q:

Ievolution in 60 seconds. 4) (10 points) Verify that the given function y is a solution of the initial value problem that follows it. y(t) = -3 cos 3t; y"(t) + 9y(t) = 0, y(0) = -3, y'(0)=0 5) (12...

Q:

MAT 275 Laboratory 7 Laplace Transform and the Symbolic Math Toolbox In this laboratory session we will learn how to 1. Use the Symbolic Math Toolbox 2. Calculate the Laplace and Inverse Laplace...

Q:

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...

Q:

Section 9.1 Reading Assignment: Solutions, Slope Fields, and Euler's Method Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three...

Q:

Section 9.1 Reading Assignment: Solutions, Slope Fields, and Euler's Method Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three...

Q:

Section 9.1 Reading Assignment: Solutions, Slope Fields, and Euler's Method Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three...

Q:

Q1 During the readings you had the opportunity to look at the issue of efficiency. Certainly one of the most valuable commodities any organization has is time. By being able to reduce the duration of...

Q:

An exponential graph contains the points (-2, 2) and (2, 54). Find the exponential equation that fits this information. Show your setup, work, and final answer.

Q:

Use the same portfolio information as above. Assume that your degree of risk aversion increases to 8 . Then, in the optimal portfolio which gives you the highest utility level, the weight of the risk...

Q:

Why is it difficult to achieve the strategic plan?

Q:

You are planning to close off a corner of the first quadrant with a line segment 20 units long running from (a, 0) to (0, b). Show that the area of the triangle enclosed by the segment is largest...

Q:

Find the value or values of c that satisfy the equation in the conclusion of the Mean Value Theorem for the functions and interval. f(b) f(a) b-a = f'(c)

Q:

Answer the following questions about the functions whose derivatives are given. a. What are the critical points of ? b. On what open intervals is increasing or decreasing? c. At what points, if any,...

Q:

Snowboard Supply Co. has Total Assets of $300,000,000 . The company's stock price has reached a 52-week high of $20.00 per share. However, the firm has $100,000,000 of Total Debt. They have...

Q:

Chapter 9 Question 57 1. Is this a two-tailed, right-tail, or left-tail test? C two-tailed C right-tail C left-tail 2. What is the sign of the alternative hypothesis? C not equal C greater than C...

Q:

II. III. Formulas and Tables for AP Statistics Descriptive Statistics f=i~ =$ sx= nilEhlz Z(::1E)2 j} = a + bx E = a + bf r=,,112["f][f] Probability and Distributions P{Au3)= P(A)+P(B)P(An3) P(A|B)=%...