Match the direction field with systems of differential equation (a)(c)(e)(b)(d)(f)-1(i)(iv)(vii)dxx² – 1dtdxdx(x + 1)(y² – 1)dt-x2 + 2x – 1dtdydy= y² – 1dt= x² – 2x + 1dtdyy? – 1dt(ii)(v)(viii)dx= (x – 1)(y – 1)dxdx(1 – x)(y + 1)dt= -y² + 2y – 1dtdtdy(x + 1)(y+ 1)dtdydy(x+ 1)(y – 1)dt= y? + 2y + 1dt(iii)(vi)(ix)dxdxdx= (2² – 1)(y – 1)dt–x² + 2x – 1-x? – 2x – 1dtdtdydydy-x² – 2x –-y? + 1dt-y – 11dtdt||||||||

Answered: Image /qna-images/answer/d9715822-5ab4-4077-9a56-5b840e949ac3.jpg

(i) (iv) (vii) dx x2 dx = (x + 1)(y² – 1) dx 1 –x² + 2x – 1 %3D = - | dt dt dt dy dy dy = x² – 2x + 1 dt 1 - 1 %3D | dt dt (ii) (v) (viii) dx = (x – 1)(y – 1) dx dx = (1 – x)(y+1) -y? + 2y – 1 dt dt dt dy = (x + 1)(4 +1) dy = (x +1)(y – 1) dy = y + 2y +1

(i) (iv) (vii) dx x2 dx = (x + 1)(y² – 1) dx 1 –x² + 2x – 1 %3D = - | dt dt dt dy dy dy = x² – 2x + 1 dt 1 - 1 %3D | dt dt (ii) (v) (viii) dx = (x – 1)(y – 1) dx dx = (1 – x)(y+1) -y? + 2y – 1 dt dt dt dy = (x + 1)(4 +1) dy = (x +1)(y – 1) dy = y + 2y +1

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Discuss the Error in Differential Approximation?

A: Given: Discuss the Error in Differential Approximation?

Q: Create a direction field of following differential equation y' = 9.8 - 0.05x y' = 9.8 - 0.1y²

A: Given differential equations are:..We know that, a direction field of a differential equation is a…

Q: Match the differential equation with its direction field. y' = 9(x + y) - 1 15 0.1+ -4.31 -0.2 -Q.1…

A: Matching the differential equation with its direction field y'=9(x+y)-1 x 0 0 0 0 0.1 0.2 0…

Q: Find the differential equation of f(t)=(3e^2t + 4cos(2t))² What its type of equation?

A: We find the differential equations.

Q: Use a Green function to find the general solution of the differential equation y" + y = sec(t) - 2…

Q: find the timear form of this differential equation

Q: Match the appropriate slope field with the differential equation y'=+2. 事 B.

A: given differential equation y'=xy2+2 claim- to find the slope field of the given equation definition…

Q: Describe any one of the physical system where we can apply Bessel or Legendre differential equation?

A: Here we need to write any one physical system where we can apply Bessel or Legendre differential…

Q: Create a direction field of following differential equation y' = 0.1t - 0.3y

A: The given differential equation is

Q: vertical

Q: 2. Verify that y = -t cos t – t is a solution of the initial-value problem dy = y + t²sin t dt y(7)…

Q: Match the differential equation with its direction field. y' = 8(x + y) - 1 I -Q.31 +0,2 -0.1 0.1…

A: To find- Match the differential equation with its direction field. y' = 8x + y - 1 Give reasons for…

Q: Obtain the differential equation of the family of plane curve described and sketch at least 5…

Q: Using the power series method about x = 0, the recurrence relation of the differential equation: -…

A: Given differential equation is x2+1y''−4xy+6y=0.......1. We have to find the recurrence relation of…

Q: Can you provide 1 example of Differential Operators (4th order 1 Imaginary and 1 Repeated Distinct…

Q: at

Q: y': 2 -y?) *

A: We can solve the given differential equation by using the variable separable method.

Q: solve for generl equation using bernoulli type differential equation 2r[r^2t−3(1+r^2)^2]dr+(1+r^2…

A: A differential equation is given. we need to find the general solution. Note the results ∫1xdx=lnx…

Q: Match the differential equation with its slope field; justify your answers.

Q: −q+p+q², ġ p = p - 2qp.

Q: Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31…

Q: plutions of differential equation ху" 1+ y2

A: Consider given differential equation put y” =t’ and y’ =t ⇒xt'=1+t2 ∫dt1+t2=∫dxx sinh-1t=logxc t…

Q: (2) Show that Lij = (№²; q) This shows that the derivatives of the normal can be computed knowing…

A: As per the question we have to show the given relation between the derivative of the normal and the…

Q: The slope field for the equation y' = -x -y is shown below On a print out of this slope field,…

A: The slope field for the equation y'=-x-y passes through 1,0

Q: 3x?y" + 11ry' – 3y = 10x – 10.

Q: Solve the following equation by non-linear equation (In the answer instead of the constants put A…

A: Consider the differential equation y″+yy′=0.Let u=y′.Therefore y″=ddx(u)=dudy×dydx=ududy.

Q: 3. x³y'= 2 (y*+x %3D

A: A detailed solution is given below

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Match the direction field with systems of differential equation

(a)
(c)
(e)
(b)
(d)
(f)
-1
(i)
(iv)
(vii)
dx
x² – 1
dt
dx
dx
(x + 1)(y² – 1)
dt
-x2 + 2x – 1
dt
dy
dy
= y² – 1
dt
= x² – 2x + 1
dt
dy
y? – 1
dt
(ii)
(v)
(viii)
dx
= (x – 1)(y – 1)
dx
dx
(1 – x)(y + 1)
dt
= -y² + 2y – 1
dt
dt
dy
(x + 1)(y+ 1)
dt
dy
dy
(x+ 1)(y – 1)
dt
= y? + 2y + 1
dt
(iii)
(vi)
(ix)
dx
dx
dx
= (2² – 1)(y – 1)
dt
–x² + 2x – 1
-x? – 2x – 1
dt
dt
dy
dy
dy
-x² – 2x –
-y? + 1
dt
-y – 1
1
dt
dt
||
||
||
||

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 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Solve phase plane differential equation
A differential equation is given Classify it as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear 3 d'y d²y 2 dm² 4 dm 4 +9y=4 cos 2m Classify the given differential equation. Choose the correct answer below linear ordinary differential equation nonlinear ordinary differential equation partial differential equation The order of the differential equation is The independent (Type a whole number) and the dependent
please help me
We not directly apply Eisenstein criterion to prove.
d'y + dr8 d®y The order of the differential equation: + Sydx = x² is_ dr4 16 10 4
use differential equation
Thank you for your help. Appreciate it alot!
Consider the differential equation: dy/dx = y(3 - y) 1) Use the slope field plotter to plot different solutions corresponding to A: (0,-2); B: (0,1); C: (0,3); D: (0,4). You can drag each point to the correct place if they're somewhere else on the plane, or click on the point and redefine. Capture a screenshot showing all the solution curves and insert below. f'(x)=y(3-y) Kin/5 -5 Density Length dy de -8 Step size 0.1 Ymas y (3-9) Input. ✔Solution A Solution B Solution C Solution D DCQ= AC: 2) To what value does y(x) approach, as x → ∞, for the solutions corresponding to B,C, and D? To what value does y(x) approach, as x →∞, for the solution corresponding to A? Why is it different from the others? Be specific and answer in terms of what you know about the slope field and its effect on the solution. - 3) Use wolframalpha.com or something similar to find the particular solution corresponding to each of the points A,B,C,D. How is the solution through Point C different from the other…