Find the general solution to the following equations: dy у-х dx y+x

Q: (x-2y) dx + 2(y- x) dy = 0

A: Given problem:- Solve (x - 2y)dx + 2(y - x)dy = 0

Q: Find the roots of the equation: d³ y 4. dx3 dy 13 — +бу dx -

A: 4d3ydx3-13dydx+6y=0we have to find the roots of the equation

Q: Solve the following equation by separating the variables: (4y + yx²)dy – (2x + xy²)dx = 0

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Q: Find the complete solution to the following diff. equation y ( x2 + y2 -1 ) dx + x (x2 + y2 +1 ) dy…

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Q: Solve the equation (6x + y?) dx +y (2x – 3y) dy = 0. -

A: Given,  (6x+y^2)dx + y(2x-3y)dy=0

Q: Find the general solution for the equation dy/dx=(2x/y)e^y+2x

A: Given the differential equation, dydx=2xyey+2x    ⋯⋯(1) Rewriting equation (1),…

Q: Find the complete or particular solutions of the following dif- ferential equations: 4x + xy 1. dy…

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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: Find the general solution to each equation: dy - y = e2"y, %3D dx

A: Consider the given differential equation is dydx-y=e2xy3.............i This is the Bernoulli's…

Q: B. Determine the solution set of the following equations using exact equations. 1. 3x (xy - 2)dx +…

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Q: (1 – 2² + y²) dx + (1+x² – y³) dy.

A: Here we combine C1 and C2 and then Apply Green's Theorem.

Q: y(6y² – x-1)dx + 2xdy = 0

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Q: Ql: solve the equation (y +x )dy +(x - y )dx = 0 %3D

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Q: Part I Solve for the general solution of the following equations: dy x'y' + x(1+ y*) = 0 c. dx

A: This is a question of differential equation. We will solve this equation by separation of variables…

Q: Question 9 Find the solution. dy x2 - y2=2xy dx A y = y = C) y = x2 D) y = 2x B.

A: First we'll convert the Bernoulli's equation in linear differential equation.  Linear differential…

Q: Q1. Solve the following first order equations: (b) (e* + y)dx + (2+ z + ye")dy = 0, y(0) = 1. %3D…

A: EXACT DIFFERENTIAL EQUATION,

Q: Find the general solution of the following equations: 2) y" – y = e* + x² 3) y" + y = tan x

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

Q: Which of the following is the general solution of the difeerential equation d²y 640Y - 16 +y=0? dx…

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Q: Solve the following equations: dy dy 12 dr2 9. +4y 0; y(a) -0. y(x)-2 210 da

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Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

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Q: Determine whether the following equations are Exact and, if so, solve them. (y + 2xy3)dx + (1+ 3x²y²…

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Q: - one 2y(y? – x)dy = dx

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Q: 1. (Зху + Зу — 4)dx + (х + 1)2dy %3D0

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Q: Find the solution of the following equations using method of substitutions. A. (2x-2y+1)dx +…

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Q: Part I Solve for the general solution of the following equations: (5xy – 2y)dx + (3x'y-x)dy = 0 b.

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Q: d³ y dx³ 2d²y dx² 1 3dy=0 dx

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Q: (2x - 5y+3)dx = (2xrry-6)dy =o

A: Given  (2x-5y+3) dx - (2x+4y-6) dy = 0 ⇒ (2x-5y+3) dx = (2x+4y-6) dy ⇒ (2x-5y+3)(2x+4y-6) = dydx ⇒…

Q: Question 5 Find the solution. dy y dx x A B y = y = 9. D) y = -|00

A: Given diff. eqn. is dydx-yx=y9 we have to solve diff. eqn.

Q: Solve for the general solution of the following equations: (3x'y+ 2.y + y )dx +(x* + y° )dy =0 d.

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

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Q: Solve the following Clairaut equation   xy'-y=e^(y')

A: We will start by differentiation the given equation to get simplified ode

Q: B. Determine the solution set of the following equations using exact equations. 3. (y? – 2xy + 6x)dx…

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Q: Solve the equations and simplify the final answer. 1. (x + y- 1) dx + (2x + 2y +1) dy = 0

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Q: Find d?y/dx2 for the following equations: e) xy + y2 = 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find d (a) (1? – V)] dx

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Q: Solve the deferential equations dy x2. = xy – y? dx

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Q: Find the point of intersection and solve the equation (x − 4y − 9)dx + (4x + y − 2)dy = 0

A: The given equation is x-4y-9dx+4x+y-2dy=0. The equation of the straight line are x-4y-9=04x+y-2=0.…

Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: D. y" – = 0 3y" + 3y' - y =

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

Q: x \dx xV 3 –x?

A: We need to evaluate the given definite integrals. each part is solve on each steps.

Q: 1. Solve the following first order equations: (b) (e² + y)dx + (2+ x+ ye")dy = 0, y(0) = 1.

A: Solution

Q: Solve the equations and simplify the final answer. 1. (2x– 3y + 4) dx + 3(x– 1) dy = 0; when x = 3,…

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Q: B. Determine the solution set of the following equations using exact equations. (1 + y? + xy2)dx +…

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Q: Solve the following Bernoulli equation: dy - = 4y-2 y² dx 1 y = B A 1 y = Ce 4 В A B y =Ce¯4* + A A…

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Q: а) (у — х)dy + y dx %3D0 dy у-х+1 b) dx у-х-6

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Q: Solve the following equations: y dy x² + y²-1 x dx 2(x²+y²)+1 + 0

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Q: solve the following equation y(2x² – 2xy+ 1)cx + (x– 2y)dy = 0

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Q: Find only the particular solution of the following equations (a) +y =cos 2x dx" (b) -52+6 y =7 dx dx

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