Answered: Find the solution of the given initial…

Find the solution of the given initial value problem using Method of Variation Parameters: y'' + y = sec x; y(0)= 5, y'(0)= -3

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

See similar textbooks

Related questions

Q: Find a general solution to the given differential equation. 4w" + 12w' + 9w = 0 A general solution i...

Q: Conditional Statements Write the conditional statement below symbolically. Then write the inverse, c...

Q: 2. Show that the set of all diagonal matrices of order 2 x 2 is a subspace of M2x2. That [ ] a is, s...

Q: QUESTION 8 You run an custom t-shirt shop. You have a very specific process to make your t-shirts. F...

Q: A, B and C can finish the same job is 7, 9 and 12 days respectively. All of them worked for 2 days a...

Q: Find the intervals of concavity and inflection points of the function. (Give your intervals of conca...

Q: fhe coefpicient an fiderivative what? rin (2x ) in the fre of of F (A CoS is ン

A: We have to find the coefficient of sin 2x for given problem.

Q: Chef Cousins has prepared a giant soup dumpling called a tangbao. The fresh dumpling is too hot to e...

Q: In which one of the choices below is the given triple integral not equal to II dxdzdy? Select one: O...

A: Using the limits of integration, following result can be concluded.

Q: (b) Let n > 2 and let x1, x2, . .. , Xn+1 E R with x¡ # x1 for all 2 - Define the (n+ 1) × (n +1) ma...

Q: What are the Eigenvalues of the system below: * dx 2x + y dt dy = -X dt О 01 O 1,1 О 1 О 11

Q: a. f(x) x-2 x-7 b.f(x) = r2+1

A: (a) the given function is f(x)=1x-2 the function is continuous in interval [a,b] if it is continuous...

Q: 4. Suppose that f: X Y is a one-to-one function and that A C X and BC X. Prove that f (AnB) = f (A) ...

Q: Evaluate e^(z^2) if z = x+yi Select the correct response: e^(x^2+y^2) [(cos 2xy) - i sin 2xy)] none ...

Q: 1. Consider the following graph: eg e3 e7 es U3 es es (c) Find the deg(G). Is it possible to have a ...

Q: There are 360 students and 2/3 went to a field trip. Of these students, 40% were wearing t- shirts a...

Q: sin-lds The antiderivative of -x sin sin-x+C A) True B) False

Q: 2. (a) Express -2+t+t +r' as a linear combination of 1-t, 1+r, and 1+1- or show that it cannot be do...

A: We have to write in the linear combination.

Q: 3. Two strong wires AB and CD are at- tached to a flagpole as shown at right. If we assume the base ...

A: Given that two strong wires AB and CD are attached to a flagpole as shown in the below figure: It a...

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: Root test: series and sequences

Q: 4. 4x? - 32y2 + 4x +64y 23

A: Solution

Q: For the given statements below, perform the following four tasks. 1) Define the domain and predicate...

Q: Find the cost of 526 square meters of cloth at #18 per square meter?

A: Given: Total area of cloth required is 526 square meters. Price is 18 per square meter.

Q: The power set P(A) of a set A is the set containing all subsets of A, including itself. Let A = {a, ...

Q: 1. Let A = and B = For what values of t is 2A+B invertible? 2. Let n be a natural number and let A, ...

A: 1.) A=2-131 , B= 012t2A+ B = 22-131+ 012tFor 2A+B to be invertible determinant of ( 2A+ B) mu...

Q: Predict how many roots in the graph of the polynomial

A: a) The points where graph of function cuts x-axis i.e. f(x)= 0 are the roots of the polynomialHer...

Q: Question 4 Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -...

Q: Problem 4. Provide example sentences that correspond to the following predicates. a. VV(¬V → W) b. (...

A: Since you have posted a multi subparts question according to guildlines I will solve first three que...

Q: Use the method of Undetermined Coefficients to solve the following DE: y" + 8y' + 16y = (t + 6)e¬4'....

Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the d...

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector B – 2A. Sketch...

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x?...

Q: sider the curve C defined by the equations x = t° + 3t? and y = 2t + 15t2 + 36t + 6. Show that C is ...

A: We have to show that Given curve is smooth.

Q: 6-A cosine curve has an amplitude of 3 units and a period of 2n/3 radians. A horizontal shift of n/6...

Q: PRACTICE SET 5 Given: f(x, y, z) = (xy²z+2x³yz - 3xz²) in the direction v = [10,-24 , 16] %3D

Q: What is the remainder when 3x* +3x³ – 5x –5x+7 is divided by x+ 2i ? c. 34 + 12i d. 75 + 22i a. 12+3...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: Statements Use the statements defined below to write the sentences in symbolic form. Note that the w...

Q: The figure below shows a particle's distance from a point as a function of time, t. What is the part...

Q: Consider the region bounded by y = x + 2 , y = x2 in the first quadrant Write an integral that will...

A: 1st we will draw the region and then find limits for for x and y . According to question asked will ...

Q: Show that an n x n matrix A is invertible if and only if 0 is not an eigenvalue of A.

Q: 4. Let A be an m x n matrix and b a non-zero m × 1 matrix. Show that the set of all n x 1 (column) m...

Q: Given the following multiplication problem 1- 2i %3D -5 -1- 2i 1. Perform the multiplication of the ...

A: Given multiplication problem is 1-2i1-5-1-2iV1V2=00

Q: an engineering professor conducted a survey regarding the favorite subjects of the students. The fol...

Q: X(2) - (2-as)(2-1)2 2.

Q: Using binomial theorem, find the value of (1.99)5 up to four decimal plac

Q: Blueberries cost $2.50 per pound at a grocery store. A customer has a coupon for $0.50 off the total...

Q: Obtain the moment of the area generated by x = 2a, bounded by x= y and x2 2ay.

Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

Q: 2. Find the solution of the given initial value problem using Method of Variation Parameters (MVP): ...

Q: Komal went on vacation and bought 3 shirts for $11.21 each. She paid $2.40 for a keychain and S6.47 ...

A: We want to find total amount spend by Komal.

Question

Find the solution of the given initial value problem using Method of Variation Parameters:

y'' + y = sec x; y(0)= 5, y'(0)= -3

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
According to the solution in Exercise 58 of the differential equation for Newtons law of cooling, what happens to the temperature of an object after it has been in a surrounding medium with constant temperature for a long period of time? How well does this agree with reality?
Obtain the general solution using variation of parameters y''+y = (csc³x) (cotx)
Find the general solution by Variation of Parameters. y''+y=3cscx
The number of units of weekly output of a certain product is represented by the equation shown below, where x is the number of workers on the assembly line. There are presently 58 workers on the line. Q(x) = 200x + 4x² (a) Find Q'(x) and estimate the change in the weekly output caused by the addition of one worker. (b) Calculate Q(59) – Q(58) to see the actual change in the weekly output.