ydx = x(1+ xy4)dy

Q: Solve the following by linear equation of order one: dy - (x3 - 2xy) dx = 0

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

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Q: 2) Determine the constant A such that the equation (x² + 12ry) dx – (Ar² + 8y) dy = 0 is exact and…

A: The differential equation P(x,y)dx+ Q(x,y)dy =0 is an exact equation if and only if…

Q: Solve the Bernoulli equations given below dy, y dx 2x %3D

A: Given:

Q: 3. Show the equation (1+ e*y + xye*)dx + (xe* + 2)dy = 0 is exact and solve it.

A:

Q: B) Find the general solution of the equation by using (Undetermined Coefficients method) d'y dy de =…

A: Solution of the differential equation using undetermined method

Q: B. Determine the solution set of the following equations using exact equations. 5. xy dx + (y2 +…

A: Let's find.

Q: Solve the given diffe rential equation by using an appropki ate subrh tution The DE is a bernoulli…

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Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: Solve this DE in Non-Exact method: (x2+6y2)dx-4xydy=0 ; y(1)=1

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Q: Q6) Solve the following DE: dy -5y 0 dx

A: Given : dydx-5y= 0 Now, 1ydydx = 5

Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

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

A: we have to find

Q: Solve the following using the method of solving Bernoulli Equations. dy 2. - 2y – x²y? – x²y² dx

A: According to Bernoulli's equation, we will have to assume some variable in such a way that another…

Q: Q5) Answer the Following: 1- Solve the separable DE: dy -x² dx y² A a gortain

A: Given differential equation : dydx=-x2y2

Q: Find the general solution using substitution of the following DE: 1.) (2x + y + 6) dx + (2x + y) dy…

A: To Determine: Find the general solution using substitution of the following DE:

Q: solve D.E. by using Linear (y? + 1)dx + (2xy+ 1)dy= 0

A: See the attachment

Q: Solve the Bernoulli Equation x² dy + y? = xy dx

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 .............(1)…

Q: Solve the following equation using Bernoulli D.E. b. Alternative method dy + 2 = y? dx 4.

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Q: Solve the given Bernoulli equation by using this substitution. 1 ty' + 4ty - y³ = 0,t > 0

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Q: Solve the following Bernoulli equation: dy - 4y-2y dx

A: We have to do variable separation.

Q: Test the equation for exactness and solve the equation (2xy − 3x^2)dx + (x^2 + 2y)dy

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Q: Solve the following using the method of solving other substitution methods dy 2. dx sin(x – y)

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

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Q: Solve the following using the method of solving other substitution methods dy x+ y- 1 dx 3.

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Q: Find the particular solution to DE:   ( y + square root of x^2 + ?^2 ) dx - xdy = 0 ; y ( √3 ) = 1

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Q: Solve the Euler equation d²y dy 3x? dx -5у%3D0 +x dx given that y(1) =1 and y'(1) = 2.

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Q: dy d. x = y + y³cosx dx е. dx - y = 2xy²e-*

A:

Q: Is the equation separable, linear, bernoulli, or homogenous? x4 + 4xy2 2x3 + x²y +y³ а. dx b.…

A: Separable equation:   A first order differential equation y’ = f (x, y) is called a separable…

Q: Solve D.E using bernouliis equation dy – 2x · = x(x+1)y' dx

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: Q5. Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general…

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Q: Solve the Bernoulli equation dy x+y = -2x“y* dx

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

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Q: Solve the following using the method of solving Bernoulli Equations. dy + y = e*y=2 dx

A: We need to solve the given differential equation by using Bernoulli's method.

Q: Find the general solution of the equations given below: dy i) 4 - y = x² – 3x; dx2

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Q: Q1) solve all these first order diff questions with appropriate method of solutions dy _ y²+xy?…

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

Q: II. Solve the following first order DE. (x² + y²)dx + xy dy = 0 4.

A: Explanation of the solution is given below...

Q: Solve the following Bernoulli equation. (* – 2xy dx + 3x²dy = 0 where y(2)=1.

A: Given, The Bernoulli equation y4-2xydx+3x2dy =0   Where y2=1 We have to solve the bernoulli's…

Q: Prove that the equation below is a homogenous one and solve for its equation. 3(3x2 + y?) dx – 2xy…

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Q: Solve D.E using bernouliis equation r'y-x'. dy x'y-x' . dx = y* · cos(x)

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Q: QI: Solve the following DE: e*dx-ydy 0y(0) = 1

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Q: Determine the constant A such that the equation (x2 + 3xy) dx + (Ax² + 4y) dy = 0 is exact and solve…

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Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D0

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