If P (x)= tan (x) +! in a first order linear ordinary differential equation+P(x)y=Q (), the integrating factor isO x sec(x)O x cos(x)O (E)O eT sec (z)O e sec(x) Which of the following functions is NOT homogeneous?O y? + x Va?y - y³O y (In xIn y)-I In r - In yO (E)I eNI + y

As per guidelines we have to solve one question

Answered: If P (x) = tan (x) +! in a first order…

If P (x) = tan (x) +! in a first order linear ordinary differential equation +P(x)y=Q (), the integrating factor is O x sec(x) O x cos(x) O (E) O eT sec (z) O e sec(x)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 18E

See similar textbooks

Related questions

Q: 18. What is the integrating factor of the differential equation y' =cscx-ycotx ? a. tan x C. sinx b.…

A: This is a question related to differential equation. Based on the formula of integrating factor we…

Q: Define the term homogeneous first order ordinary differential equation. Hence solve x2y' + xy = x2…

A: According to the given information, First it is required to define what is homogeneous first order…

Q: The Bernoulli's form of the differential equation 2x³dy-− y(y² + 3x² ]dx = 0 is

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Example 12 : Form the partial differential equation by eliminating the arbitrary function from z= xy…

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotx)dx=0is

A: Given differential equation, dy-cscx-ycotxdx=0 The objective is to find the standard form of the…

Q: Obtain the solution to the differential equation: cos*x- cos"y dx + cosxsin 2ydy = 0 a. cos*y(1+…

Q: Solve the differential equation. y'+y tan x = cos x, - n/2 < x < r/2 A y = x sin x + c cos x, - 12…

A: Consider the given linear differential equation which is required to solve. Comparing the above…

Q: Obtain a linear differential equation with real, constant coefficients that is satisfied 1 sin 2 1…

Q: 3. Show that the differential equation dx is homogenous. Zxy

Q: from the partial differential equation by eliminating the arbitrary function z=(x2+y2+z2)

Q: 3. Form the partial differential equation by eliminating the arbitrary constants a and b from z =…

Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

Q: The Bernoulli equation is a differential equation of the form y'(x) = p(x)y(x) + q(x)[y(x)]",n± 0,…

Q: . Find and classify the singular points of the differential equation x (x – 1) y" + x y' + y = 0.

Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

Q: [cos y + 1]dy + [tanx (siny + y)]dx = [sin y cos x + y cos x]°dx gettyimages When:x = 0;y=

Q: x³y"+xy'+4y = cos (2 ln x) bulunuz.

A: See the attachment

Q: 1. The standard form of the general first order linear differential equation in y is 2. The linear…

Q: In a differential equation where y is the dependent and x is the independent variable and the…

A: In a differential equation where y is the dependent and x is the independent variable and the…

Q: 5. The differential equation (3x'e' - 2xx+ (r'e' -sin y ldy = 0 is exact because ON

A: Partial differentiation is needed to be done after identifying M and N

Q: n. ²u

A: Given;

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y = "

A: The given differential equation is solved below in detail.

Q: Solve the differential equation (3xy+y2)+(x2+xy)y′=0 using the integrating factor μ(x, y) = (xy(2x +…

A: The differential equation is 3xy+y2+x2+xyy'=0.

Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O…

Q: a differential equation is classified as a homogeneous DE if one can directly isolate all functions…

A: A differential equation is classified as a homogeneous DE if one can directly isolate all functions…

Q: Consider a first order differential equation. y(-x sinx + 2 cosx ) dx + x( 2 cosx)dy = 0 a) Find the…

A: Given , Differential equation is y-xsinx+2cosxdx+x2cosxdy=0 Now ,we write the given equation of the…

Q: If y = f(x) is a function satisfies the differential equation f'(x)x³ + f(x)3x² = x³ ,where C…

A: We have to solve the given differential equation and find f(x).

Q: The integrating factor of the linear first order differential equation dy dx sin2x- y+tanx Oa None…

A: The standard formula for the linear differential equation is dydx+P(x)y=Q(x). Here, P(x), Q(x) are…

Q: y = - is one of the solutions to the non-homogeneous Cauchy-Euler equation 1 x²y" + xy' – y x + 1…

Q: (b) Find the complete integral of non-linear first partial differential equation Oz. + y = qz.

Q: Find the general solution of the first-order differential equation y′ cos x2 +…

A: The first-order differential equation is y'cosx2+ycosx2x=secx2

Q: (a) Find the general solution to a fourth-order linear homogeneous differential equation for y(x)…

Q: Example 9 : Form the partial differential equation by eliminating the arbitrary constants from 2z…

A: We can find the partial differential equation as below

Q: Find the general solution of the first-order differential equation y cos x −…

A: Given: y-1cosx+dydx=0 for finding solution of given differential equation, we use variable separable…

Q: Suppose sinh 2x, y2 = 6x, y3 = cos 2x are solutions of a linear homogeneous differential equation…

A: To find the differential equation :-

Q: Form the partial differential equation by eliminating arbitrary function from z = e" f(x – y)

Q: 3] Form the partial differential equation by eliminating arbitrary function from z = e® f(x – y) -

A: Given: Z=exfx-y

Q: Find a homogeneous linear differential equation with constant coefficient whose general solution is…

A: Given the solution of a homogeneous linear differential equation with constant coefficient. That is,…

Q: Example 12 : Form the partial differential equation by eliminating the arbitrary function from z= xy…

Q: Example 4: Form a partial differential equation by eliminating the arbitrary funct from Ix + my + nz…

Q: Consider the nonhomogeneous second order differential equation a°y" – xy' + y = nT +0, x > 1.

A: First we have to find the general solution of the differential equation x2y''-xy'+y=xlnx where x≠0,…

Q: The formation of the partial differential equation by eliminating arbitrary constants a, b from the…

Q: Form the partial differential equation by eliminating the arbitrary constants a and b from z = ď² x…

Q: 5) Find a homogeneous linear differential equation with constant coefficients whose general solution…

Q: Solve the second order linear differential equation using method of undermined coeeficient…

A: Now, the equation on the right if of the form x2+1. Thus, particular solution of 3y''+2y'-y=x2+1 is…

Q: x²u = x sin y Uyy

Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: The solution of the exact differential equation (ycosx + 2xe") + (sinx + x²ev – 1)y' = 0 is:

Q: (x+1) +y=In x dz

Q: The particular solution of the differential equation y y- 2y = sin3x is: y(x) =Ce3x+Ce3O…

Question

If P (x)
= tan (x) +! in a first order linear ordinary differential equation
+P(x)y=Q (), the integrating factor is
O x sec(x)
O x cos(x)
O (E)
O eT sec (z)
O e sec(x)

Which of the following functions is NOT homogeneous?
O y? + x Va?y - y³
O y (In x
In y)
-
I In r - In y
O (E)
I eN
I + y

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here