Solve the Following DE y-y-6y= 2sin X

Q: Solve the following Bernoulli Equations. (show complete solutions) a.) (3x - 2y + 1)dx + (3x - 2y +…

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Q: 1. Solve the following first-order equation: (2.ry +3y?)dr - (2ay+a)dy = 0. %3D

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Q: Q1: Find the general solution of the following equation. ỹ + 2y + y = cos²x

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Q: Solve the following DE: dy - 5y = 0 dx

A: The given differential equation is  a first order linear differential equation in variable separable…

Q: Solve the following aifferen tial equations |. x* dy = (4x* +5xy +y*) dx 2 2x + y X -24 2. dy dx

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Q: 13. Solve the DE t°y" – 3ty + 4y = 0,t > 0

A: Given differential equation is  t2y''-3ty'+4y=0

Q: C. Solve the following Bemoulli's equation. 1. 2+ x y = x³y"

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Q: Solve the following DE x y" – 4y' = x e"

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Q: (2y² + 3xy – 2y + 6x)dx + x(x + 2y – 1)dy = 0

A: The differential equation is given as (2y2+3xy-2y+6x)dx+x(x+2y-1)dy=0 Let the integrating factor be…

Q: y²dy = x(xdy – ydx)ey

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Q: Solve the equation sin u = -1, for 0 … u 6 2p.

A: Given, the equation sin u = -1, we have to solve this equation in [0, 2pi).

Q: 13. Solve the DE t'y" – 3ty' + 4y = 0, t > 0

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Q: Obtain the general solutions of the following: 3(3x + y )dx – 2xydy=0 а.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. Solve the D.E. 2y" + 18y = tan(3x). %3D

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Q: Solve for z. If there are no solutions type DNE: 1 -4%3= I- 4 4z - 16

A: x4x-16-4=1x-4

Q: Solve the following Bernoulli equation y - y = (2t - 3)y

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Q: Solve the Followings : 1. dy (x + 4)

A: Given: dydx=(x-y)2Solution:dydx=(x+y)2⇒dydx=x2+2xy+y2Now separating x and y terms, we get-y2…

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

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Q: 2x y" + 4y' + 5y = cosx

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Q: {t) + 4г(t) — exp( — 4t)сos(3t) + еxp( - 4t)sin(3) -

A: A derivative is a contract that derives its value from the performance of an underlying entity.

Q: 2 Y Sin y - yy 3=c C- %3D

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Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Match the equation to the graph. y 2 sin 30 - 1 %3D Sn / 3n 7n 21 4.

A: y=2sin3θ-1Use the form  a sin ( b x − c ) + d  to find the variables used to find the amplitude,…

Q: 6y²dx – x(2x³ + y)dy = 0

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Q: ay - 3y = x*; dx

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: 3. Solve the following diferential equation (y-y In x)dx = x In xdy.

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Q: 1. Solve the following equation y" – ky' = 0 given that y(0) = 2, y'(0) = k %3D

A: Please refer to the image below

Q: Solve the following equations: (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Find the solution of the following: 1. y' = sec2 y %3D

A: The given equation is a differential equation that can be solved with the help of integration.…

Q: Solve the following Bernoulli equation y' – y = (2t – 3)y i

A: Bernoulli Equation : Consider y'+p(x) y=q(x)ynThen we let v=y1-nAnd solve the equation by…

Q: Use the method of undetermined coefficients to solve. y" – 3y' – 4y = -8e' cos 2t

A: To solve the given differential equation using method of undetermined coefficients.

Q: 2. Solve the following DE x y" – 4y = x e

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Q: the Following DE y" Solve y-y-6y = 2 Sin X

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Q: Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy %3D

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Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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Q: Solve the following DE • X – dy =2

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Which of the following is equivalent to the problem shown? 2* where z = r cis0

A: The problem can be written as: z=rcisθz=rcosθ+sinθ

Q: dy 4) 2xy = x² + y? + 1

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Q: Solve the following IVP by the method of Undetermined Coefficients: y" – 3y + 2y = e" sin(x); y(0) =…

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Q: Determine the form of a particular solution for each of the following: (a) y" – 5y' + 6y = cos r + 1…

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Q: Solve the Non-Exact DE (2y² + 3x)dx + 2xydy = 0 %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the solution to the following IVP. (a) r - 2y = r° sin (2r) – r* + 4r*, given y(7) = .

A: The given differential equation xdydx-2y=x5sin2x-x3+4x4 Convert into the linear differential…

Q: Use the method of undetermined coefficients to solve the following problem. y - 4y = e¹t sin 5t, =…

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Q: y" + 25y = 10 sin(5t). Yp =

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Q: Solve the following differentinl equations: 1. (x-y-2) dx + (x – 2y – 3) dy = 0.

A: Solution 1: Given that (x-y-2)dx+(x-2y-3)dy=0 we can write it as dydx=-x-y-2x-2y-3             (1)…

Q: Q1) Solve the following DEs а) ty" + (1 — 20)у' + (t- 1)у %3D0 b)y" + y = c) x²y" – 3xy' +4y = x³Inx…

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Q: Solve the following deferential equations a) (x² - 4xy - 2y²)dx + (y² - 4xy - 2x²)dy = 0. e-2√x : 1…

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Q: Solve the following Bernoulli Equations. 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = 0 = (9x + 4y + 1)²…

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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.