dx x-y dy dx (Separation of variable) %3D dy

Q: Solve (x+2y-1)dx + (2x+y+1)dy = 0

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Q: نقطتان What is the best way to solve this ?equation dy 4x2 + x %3D dx y + 4

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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: 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: dy xev-x*); y(0) = 0 %3D dx

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Q: Determine the solution set of the following equations using variable separable. xy dx + (y + 1) e*dy…

A: We will reduce the equation into variable separable form to derive its solution

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: dx y x = 2y, y(1) = 5 dy

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

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Q: From the following equations select the one that is not exact and solve. (x2- у) dx - х dу%3D0 1.…

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Q: x(2y – 3)dx + (x2 + 1)dy = 0

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Q: d.) (y³ + x ln ) dy + (y In ) dx = 0

A: we have to find

Q: Find the general solution of the following equations. dy 2. yv1+x csc?y dx dy 3. dx 1+x2 I| ||

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Q: Solve for the general solution of the following equations: dy _Y = y е. dx

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Q: (x + y) dx + (3x + 3y - 4) dy = 0

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Q: (xy)dx + e*dy = 0, as xo, y =D;

A: Given:- (xy2) dx + ex dy=0 To find:- Particular solution of given differential equation

Q: dy e I+ x + ×y +メ dx

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Q: (Zy+3)2 a. dx (4x+5/

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Q: Which of the following fits the equation 2(x + y*)dx + (y - x)dy - 0? C. Homogeneous d.…

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Q: - one 2y(y? – x)dy = dx

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

A: First order linear differential equation

Q: From the following equations select the one that is not exact and solve. (x2- у) dx — х dy%3D0 1.…

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x 1)…

Q: Is the following equation complete? is (r'e* + 3x'e* – x)dx + (x°e*y + y)dy = 0 - True false

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Q: dy et-y dx 2.

A: The given problem is to solve the given differential equation using separation of variables method.

Q: e.Find the solution of equation (29) by replacing v by y/x  dy/dx =( y − 4 x)/( x − y) .

A: Given differential equation is dydx=y-4xx-y Given equation is homogeneous differential equation.…

Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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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: Зу(x* - 1)dx + (x* + 8у - 3х)dy %3D 0

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Q: x(xy – 1)dx + dy = 0 (Non-exact)

A: Solve differential equation.

Q: Please answer number 4. Solve the following differetial equations:

A: We have to solve the differential equation

Q: Obtain the general solution to the equation. dy y dx X + 9x + 7 The general solution is y(x)=,…

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Q: What is the general solution to the following equation: (dy/dx)= (y/x)+6x+1

A: Compare the given differential equation with standard form and calculate the integrating factor (IF)…

Q: Find the general solution of the following equations? 1- e* (y – x)dx + (1 + e*)dy = 0

A: To find the general solution ex(y-x)dx+(1+ex)dy=0

Q: Find an explicit family of solutions for the following equation: x? = xy + x°y. %3D dx

A: given differential equation x2dydx=xy+x5y to find  explicit family of solution for the given…

Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: General solution of x dy = (2xe* – y + 6x2) dx

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Q: From the following equations select the one that is not exact and solve. (x2- у) dx — х dy%3D0 1.…

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Q: 5. (1+ y² + xy²)dx + (x²y+ y + 2xy)dy = 0

A: The differential equation is given as 1+y2+xy2dx+x2y+y+2xydy=0 Compare it with Mdx+Ndy=0 Here M =…

Q: Find the general solution of the following equations= (x10/3 – 2y)dx + xdy = 0 1-

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Q: Solve the following non-exact equation: (3x'y + 2xy )dx +(2x'y' -x² )dy =0

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Q: Solve the Bernoulli equation dy + xy = xy dx y = (ce²² – 1)-} .B y = (ce² +1)-} .C y = (ce²² + 1)-}…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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 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: (1 + x)dy – ydx = 0 %3D

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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: 11. (x In y + xy) dx + (y In x + xy) dy = 0;

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Q: Find the general solution of the following equations? X dy/dx + sinx - y =0

A: Non elementary integral: The integrals which do not have a solution can be represented using…