Find the integrating factor that converts the equation below into an exact equation y de + (2x – y siny) dy = 0

Q: Find an integrating factor for the DE y(4x – 3y – 3)dx +x(x– 2y –- 1) dy=0

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Q: Which one is an integrating factor for the equation y(2x – y+ 1)dx + x(3x – 4y+ 3)dy=0? 9020900 et

A: Given that, y2x-y+1dx+x3x-4y+3dy=0                               ……(1)   The above differential…

Q: find a general sulution to the differential eguatiun using variation of A parametert b)yィyニ tantee…

A: Method of Variation of Parameters: This method is quite general and applies to equations of the form…

Q: If the given linear DE is (y – cos² x)dx + cosxdy = 0, what is the integrating factor? Select the…

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Q: Find the differential of the function f(x,y)=x(e^-y) at (2,0). df=?

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Q: Determine the integrating factor of the Bernoulli's equation given pelow: dy -y cot2x = y' csc2x dx…

A: ................(1) substitute take derivative .................put it back in equation 1

Q: a. (xy + y²)dx+ (=

A: a. Given,       (xy+y2)dx+(x+2y-1)dy=0

Q: use Separation of Variables to find the general solution. dy/dt= y tan t

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Q: (8) Find the Integrating Factor of the equations and Solve it:- a)2 Coshx Cosydx=Sinhx…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A. Integration by parts o (3t + t*) sin(2t) dt

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: y(x* – y²)dx + x(x* + y²)dy = 0

A: Let us consider the differential equation,  Where M and N are the function of  x and y. If the…

Q: find the differential of each function

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Q: The integrating factor of the LDE y'=x-2ycotx is A B с D sin²x sec²x csc²x cos²x

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Q: Find the General Solution using integrating factors found by inspection У(2х — у + 1)dx — x(3х — 4у…

A: We have to find the general solution of the following differential equation using the integrating…

Q: find the integrating factor (x+1)dy - (2y+2x+1)dx = 0

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Q: :Use variation of parameters to solve dx Зх — Зу + 4 dt dy 3D 2х — 2у — 1 dt

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Q: 2. y(2x – y + 1)dx – x(3x – 4y + 3)dy = 0

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Q: dy dx

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Q: integrate by parts t7 sin⁡(2t4 )dt

A: We have given indefinite integration with respect to x. While solving the indefinite integral, we…

Q: Write the differential dw in terms of the differentials of the independent variables. w f(x,y,z)-…

A: To calculate the total differential dw for the given function of three independent variables

Q: 11. Put the following equation in separated form, do not integrate. do d. + sin 0 = 0 %3D dt

A: Topic - differential Equation

Q: 2 ydx -3ху-dx — хӑу — 0 xdy = 0

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Q: 5. – 3t te dt

A: The given integral is: I=∫t e-3t dt

Q: Determine the Integrating factor of the DE: y (x³e*y y) dx + x (y + x³e*y) dy 3 1

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Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

Q: Find the Integrating Factor of dy + 2ytanx = sinx dx

A: This is 1st Order Linear Differential Equation.

Q: Find a set of solutions: Integrating Factors found by Inspection. 1. y(2xy + 1)dx – xdy = 0

A: Since you are asking multiple questions. So, we are answering only the first question. We have to…

Q: 11. Put the following equation in separated form, do not integrate. dy с. = sec (y)e*-y(1 + x) dx

A: A detailed solution is given below.

Q: c) Calculate the integration Y+1 dydx

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Q: Obtain the integrating factor of the non-exact DE, (2 + ycosx)dx + xcosxdy = 0. a. secx b. cosx c…

A: Integrating factor

Q: Determine the integrating factor in the equation y(8x – 9y)dx + 2x(x – 3y)dy = 0 using the method of…

A: The given differential equation is  y8x-9ydx+2xx-3ydy=0 is of the form y f1x,y dx+x f2x,y dy=0. If…

Q: The integrating factor of the equation sec? y + xtany= x° is: dy de In|sina| O None of these…

A: We have to find I.F

Q: Find the integrating factor that converts the equation below into an exact equation y dr + (2x – y…

A: The differential equation of the form, M dx + N dy = 0 is said to be exact when…

Q: What is an integrating factor of the DE dy/dx = (y + y^2) / x ?

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Q: Find the total differential dw. 5. w = x tan¬ y – 2ªyz

A: The objective is to find total derivative dw.

Q: Solve using determining the integrating factor: cos x dx + (1 + 2/y) sin x dy = 0. %3D

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Q: Find the linear approximation to h(y)=sin(y+1) at y=0. Use the linear approximation to approximate…

A: Linear measurement is one-dimensional. A linear differential equation is an equation where the…

Q: Integrate: IZ+x dx Cos(l+se)dt

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Q: Find the integrating factor of y(2x - y + 1)dx + x(3x – 4y + 3)dy = 0 Oy? 2x О ху Oy

A: See the details solution in below

Q: determine an integrating factor for the given DE? (−xy sinx + 2y cosx) dx + 2xcosx dy = 0

A: we have to find the Integrating factor of the given differential equation

Q: (2у — Зx)dx + xdy 3D 0

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Q: What is the integrating factor of the differenetial equation y = a3 – 2xy? O e

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Q: Find the integrating factor that makes the equation xy^3+(x^2y^2+1)dy/dx=0 exact.

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Q: What is the integrating factor of (ry + y) dr + (r + 2y-1) dy %3D

A: Given xy+y2dx+(x+2y-1)dy=0Compare above differential equation with…

Q: Use the method discussed under "Integrating Factor found by Inspection". y(x³ – y)dx – x(x³ + y)dy =…

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Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: Find the differential dy of the function y = 4 sin (2x). Provide your answer below: dy=dx

A: Solution

Q: What is the integrating factor of the nonexact DE (4xy + 3y – x) de + æ (x + 2y) dy = 0?

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Q: Find the integrating factor for the equation dy + sin(3x)y 223 dr

A: find the integrating factor

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.