Show that the DE(2x + 3) + (2y - 2)y' = 0is exact,then find(1 mark)(a) its integralfunction, Ø;marks)(b) its generalsolution.marks)(2(5Show all details. Youwill not get any marksfor simply writingdown a final answer.

Given differential equation 2x+3+2y-2y'=0 We know that the differential equation Mdx+Ndy=0 is exact…

Answered: (2x + 3) + (2y - 2)y' = 0

Math

Advanced Math

(2x + 3) + (2y - 2)y' = 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 68E

See similar textbooks

Related questions

Q: Let f be a function defined for all x, and continuous at all values of x except at -2 and 0. bx² + x…

Q: a)Solve the following system of equations. Let z be the parameter. 2x+3y−z =1 3x+5y+z =4

Q: 3. Evaluate each limit. If applicable, state why the limit does a. lim. x2+5x+10 X48 x-1 h lim…

A: A limit is called Do Not Exist if left hand limit and right hand limit are not equal.

Q: A tank contains 2100 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the…

A: In a tank in which mixture of one substance and water is flowing in and out with a certain rate.…

Q: 1.3 Please answer this with explanations. A. An amount of $1,000 is invested at a rate of 4%,…

Q: If Z₁ = = 13 - 10i and Z₂ = = −15+ 9i, determine the following: 4z₁ - 5z₂ (Polar Form)

Q: Plz answer question 2 asap

A: Solution:-

Q: Exercise 2. Suppose X is a topological space and A, B are subsets of X. a) Show that A\BCA\B. b)…

Q: The predicate P and Q are defined as: Q(x, y): (x+y)/2=4, P(x, y, z)=(x+y)/2= z The domain for all…

Q: (a) Let A (b) Let A = = x = 1 1 arbitrary mx n matrix and x = = What are the row vectors and column…

Q: {* 3. Show that for the function f defined by setting x sin (1/y)+y sin (1/x), if xy#0 0 if xy=0,…

Q: By using your calculator, evaluate the expression -2log5.

Q: Select the logical expression that is equivalent to: 3 x(Q(x)^¬(P(x) v S(x))) avx(Q(x) v P(x) v S…

Q: 3) Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle…

Q: 1. Determine the convergence/divergence properties (absolute? conditional? uniform? range/radius of…

A: As all three questions are different, we shall answer first questions only per the company…

Q: Example 3: Given the function h(x) = (x-2)/(3x + 4) and g(x)= (x+5)/x, determine the point(s) of…

A: The given functions are hx =x - 23x + 4 and gx = x+5x To find the point(s) of the intersection, we…

Q: Use 2 decimal places in your final 1. Estimate the daily trip production for a new zone to be…

Q: Construct a formal proof of validity for the following arguments. If Starbucks and Cafe Ella are…

Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (-2,- 7), (6,…

Q: r = 5 - 3 cos 0 (limaçon)

A: To Sketch : The graph of r=5-3cosθ, also verify its symetry.

Q: Gradient descent is performed. Suppose 0o=2, 01=1, and we simultaneously update 00, 01 using the…

Q: Find the angle of rotation in each problem such that the transformed equation will have no x'y'…

A: Consider the given equation, x2+3xy-x+y=0 Now, compare with the general equation,…

Q: Seven colleges and universities are competing to recruit six high school football players to play…

A: Given Data: To Find a way of assigning the players to the schools that maximizes the number of…

Q: What is the partial derivative of y=L2/3K1/3 with respect to L 2 K 3 2 3 3 3 L L K

A: Given, y=L23K13.

Q: The following numerical scheme: h Yn+1 = Yn-1 + [fn-1 + 4fn + £n+1], is proposed. By utilizing the…

A: Given: Numerical scheme yn+1=yn-1+h3fn-1+4fn+fn+1 and model problem y'=λy To Find : a) Classify the…

Q: An equation shown below for the terminal side of an angle θ in standard position is given with a…

A: given -5x+9y=0 , x≥0 -5x=-9y⇒y=59x

Q: Traffic Accidents The county highway department recorded the following probabilities for the number…

Q: In Z[i], show that 3 is irreducible but 2 and 5 are not.

Q: Let T V W be a linear map. : Show that Range T = Span{Tv₁,..., Suppose V Tvn}. = Span{V₁,..., Vn}.

A: Given : T : V→W be a linear map and V = Spanv1, v2, ... , vn. To show : RangeT = SpanTv1, Tv2, ...…

Q: 16. Calculate the series Σ2² O 255 O 64 O 127 O 63

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A: Differential equation is made by eliminating arbitrary constant from an equation representing family…

Q: Given: -2 d + 2y = e²t Sin t, 0<t<1, y(0) = −0.4 and y'(0) = −0.6, d²y dt² dt Find by Euler's…

A: (a) let dy/dt=z Given y′′=2z-2y+e2xsin(x),y(0)=-0.4,y′(0)=-0.6,h=0.1,y(0.3)=?put dydx=z and…

Q: Given the following three statements,determine if statement (3) can follow statements (1) and (2)…

Q: 4. Identify the values of a € Z to which exists integer solutions of the equation ax +35317y = -2.

Q: (d)Prove part (a) assuming that the domain D enclosed by the simple closed curve C' with positive…

Q: Determine whether the following are linear operatorson Rn×n. L (A) = AT

A: We have to check whether the operator defined on Rn×n as LA=AT is linear or not, where AT is the…

Q: S2 =13 y = kx + b Space and Verify S₂ = [(x, y) {R²: y = kx +b] change multiplication to is vector…

Q: One of your commonly used laboratory instantaneous test signal voltages (v.) is described by the…

Q: e) A series electrical circuit for a funfair arcade machine which you are testing, features a…

Q: 1. Mae went for an out of town trip to Lucena City, 120 km away from her place. On her way back, due…

Q: 2. Evaluate for the unknown variables Using the following, (a) Gauss-Jacobi Method (b) Gauss- Seidel…

A: (a) Let X1=x, X2=y, X3=z By Gauss-Jacobi Method Total Equations are…

Q: - touns Istisyah d d²x 2. (a) Solve the differential equation x- (b) Solve the initial value problem…

Q: Compute the volume of the solid generated by revolving the region bounded by y=x and y=x² about each…

A: a. Consider the given curves, y=x and y=x2 now, intersection of these two curves is, x=x2x1-x=0x=0…

Q: #10-11 y=tan(x/3) #12-13 y=sin(0.5√x)/x #14-15 y=e+x at x = 3 at x = 1 at x = 2

Q: The function f(x) = sin (e* + e¯x) + x is... both even and odd. odd even neither even nor odd an…

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A: To find- Make an Original Example of "Elimination of Arbitrary Constants"

Q: 14. How many 4-digit numbers can be formed using digits from {1,2,3,4.5} if repeated digits are…

Q: If An B C ANC does this imply that B C C?

A: No, that doesn't imply that B is subset of C.

Q: Show that 3x^2 + 4x + 3 ∈ Z_5[x] factors as (3x + 2)(x + 4) and (4x + 1)(2x + 3). Explain why this…

A: UFD- An integral domain in which every non-unit non-zero element can be uniquely written as the…

Q: The wear on a cylinder has increased its bore to 3.369 in. The most likely original bore was the…

A: It is given that the wear on a cylinder has increased is bore to 3.369 in. It is required to find…

Question

Show that the DE
(2x + 3) + (2y - 2)y' = 0
is exact,
then find
(1 mark)
(a) its integral
function, Ø;
marks)
(b) its general
solution.
marks)
(2
(5
Show all details. You
will not get any marks
for simply writing
down a final answer.

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: Proving the differential equation is exact

VIEW

Step 2: Finding the Integral function

VIEW

Step 3: Finding the solution of the differential equation

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here