Answered: Use Variation of Parameter to find a…

Use Variation of Parameter to find a particular solution for y"-4y'-12y=x. Hiii please help with detailed and complete solutions. Having a hard time understanding it (kinda urgent) tysm!

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 32E: There are two points on the x-axis that are located a distance of 6 units from the points 3,1....

See similar textbooks

Related questions

Q: Evaluate the integral. f5sinxcos(cosx)dx -5cos(sinx) + C sin(cosx) 5 5sin(cosx) + C −5sin(cosx) + C…

A: Topic - indefinite integral We are given∫5sinxcos(cos(x))dxwe know thatddxcosx=-sin xand…

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

Q: 2. Estimate the area between ( the curve y = x² + 1 and the x-axis over the interval [0, 4]. Use a…

Q: 6 6 Suppose f(x) dx = 9 and f g(x) dx = −8. eff (2) d +¡¸g(= -5 -5 6 Evaluate (-2 f(x) + 2 g(x)) dr.…

A: Given:- ∫-56fxdx=9 and ∫-56gxdx=-8

Q: Evaluate the indefinite integral. 6dx x ln(2x) + C

A: Given ∫6xln2xdx

Q: Determine the Taylor series of f(x) = sinx around x₂ = π

A: Use Taylor series expansion

Q: Solve the given differential equation. dy=8x√16-y2 A) y = 4 sin (4x² + C) B) y = 4 sin¹ (4x² + C)…

A: dydx=8x16-y2

Q: honeybee moves along the path r(t) = (2 cos t, 4t, 2 sin t), where r is measured in meters and t in…

A: First differentiate position vector then take magnitude of derivatives for Speed.

Q: x2 + y2 + z2 - 2x + 6y - 8z = -1 The equation is a sphere what are the first,second third…

A: given that , equation of a sphere is x2+y2+z2-2x+6y-8z=-1then we have to find centre of sphere…

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are

Q: -0 -√₂x√3 - x² dx rv3

Q: A statement S about the positive integers is given. Write statements Sk and Sk+1, simplifying…

A: Please see the below picture for detailed solution.

Q: f(x, y) = x³ + 2y³ - 6x² - 150y Local maxima are Local minima are Saddle points are III m m m m

Q: Two sides of an oblique triangle are measured to be 3 and 8. If the angle between the two sides…

Q: 1 + i −1+i -2 -2 4 + 3% -4 + 2i (a) Find AT, the transpose of the matrix A. Consider the matrix A -…

Q: If the operation is undefined, enter NA. BD = B = sin (a) 4 [362] -9 0 12 8 ar Hint: To create a…

A: To find the product of matrices.

Q: 07. Given the following function f(x,y)= 3x-x³-2xy². Find, a. All critical points.

A: We need to find critical points and solve function for them.

Q: Find nd (25/75 + 7x + 2) dr + C

Q: Evaluate. e13z (e13x + 5)4 (Note that the constant of integration is already included) dx = +C…

A: ∫un du =un+1n+1+C

Q: Two sides of an oblique triangle are measured to be 6 and 2. If the angle 9 between the two sides…

A: We have to find the rate of the increment of the opposite side.

Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

A: We can find change in volume of the sphere.

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 1), (3,…

Q: x5 (26 + 6)6 This can be transformed into a basic integral by letting Consider the indefinite…

Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Find the first five term

Q: The cuberoot of a number can be approximated by the recursive formula А 1 ==2sn-1 3 A₁J²) Sn 25₁-1 +…

Q: The volume of the sphere is increasing at the rate of 6 cubic centimeters per hour. At what rate is…

Q: in feet, and h the height in feet of the box.) (1, w, h) = What is the volume of the box? ft 3…

Q: Determine whether the geometric series converges or diverges. If it converges, find its sum. Σ…

Q: Write out the first three terms and the last term. Then use the formula for the sum of the first n…

A: Here we have to find the first 3 terms and last term . Then by using the formula for the sum of…

Q: 10. Find the derivative. Write your answer in simplest factored form. f(x) = (2x+3)(4x-1)³

Q: 5. t dx dt = 6te2t + x(2t - 1)

Q: Find the radius of convergence and the interval of convergence of the power series (2x)" 72! R=2,…

Q: dz Find where z = 4 x sin y, and x=t,and y = 5t³. dt'

Q: Two posts, one 4 meters and the other 7 meters high, are 7 meters horizontally apart. If the posts…

A: We have to find the horizontal distance in meters of the stake from the first post to use the…

Q: Given the geometric sequence: 22, Find an explicit formula for an, where the first term is a₁ an =…

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

Q: A particle moves along line segments from the origin to the points (3, 0, 0), (3, 5, 1), (0, 5, 1),…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

Q: 4. 16x²-x+3 6x²-5x2+1

Q: Evaluate the following (if possible) (a) (tan-¹ (2x)) (b) lime-1 X x →0 d dx 2x² +5 x→∞ 4x² - 5.x…

A: (a) we know that dtan-1xdx=11+x2

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 3 5 5…

Q: frog at point A on the shore of a circular lake wants to reach point B diametrically opposite A. If…

Q: 8. A math teacher adopts the following function to curve her students' midterm grades: f(x) = 10√x…

Q: Find all the values of x such that the given series would converge. 3n (x¹)(n+1) (n+7) n=1 The…

A: Solve the following

Q: Find the linear approximation to the equation √(x,y)=3√6 at the point (4, 6, 6), and use it to…

A: Given function:- fx,y=3xy6

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

Q: If a matrix A has eigenpairs λι = 3, v1 = and dg = 1,vg =, then find matrix A A= M M M M

A: According to question,Given Eigenvalues,λ1 = 3,λ2 = 1,eigenvectors,v1 = -1,2,v2 = 1,1

Q: (ii). Eliminate the arbitrary constant in the equation y = Ae2x + Bxe ²x Ans. y" - 4y' + 4y = 0

Q: 7. If h(x) = f(g(x)), use the t find h'(6). 2 f(x) 10 f'(x) -1 g(x) 6 g'(x) 3 4 6 -3 8 5 65200 -2 8…

Q: Find how fast the volume of a parallelepiped is increasing if its edges a, b, and o change at rates…

A: According to question,Given Edge of parallelopiped,a= 5,b = 6,andc =10,Rate of change of It's…

Question

Use Variation of Parameter to find a particular solution for y"-4y'-12y=x. Hiii please help with detailed and complete solutions. Having a hard time understanding it (kinda urgent) tysm!

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 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
There are two points on the x-axis that are located a distance of 6 units from the points 3,1. Determine the coordinates of each point.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
I need perfect solution
How do I solve for the value of x and y on these shapes?
Suppose you are climbing a hill whose shape is given by the equationz = 900 - 0.005x2 – 0.01y, where x, y, and z are measured in meters, and you are standing at a point with coordinates (100, 120, 706). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)
Solve using Variation of parameter
Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x² -0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1966). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend Odescend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction. the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 0
could you please help me derive this equation in terms of dA/dqpe-qA=1-A
Grph the ordered pair solutions of y=x^2 when x = -3,-2,0,2,3.
Find the general solution by the method of changing parameters
Particular solution by inspection Solve the following equation: y^(7)+4y^(5)+4y^(3)=120 Skip if u already did this or else downvote