a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1). %3D

Q: (x² + y²)dx – xydy = 0 -

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Q: Find the particular solution, Using the integrating factor method: dy + In x =- dx y where y(1) =3.

A: Solution: The objective is to find the particular solution to the given differential equation.

Q: 3. Solve the following equation using the determination of integrating factors. 1. y(2x – y + 1)dx +…

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Q: Find an integrating factor that turns the following equation into exact and solve the IVP: (2xy3 +…

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Q: Find the general solution of

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Q: dy =, with initial condition y(0) =2 is dx y The solution of %3D

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Q: Find the General and Particular solution of dy/dx = 4y ; y = 3, when x = 0

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Q: dy а. ху+у? dx ху-х2

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Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: Find an integrating factor and solve: y²dx + (3xy + y² – 1)dy = 0

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Q: ) Obtain the particular solution of (2x-3y+4)dx+3(x–1)dy =0; when x =-1, y = 2 O Find the general…

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Q: dx dt -x + y + 2et ip dt — у — е-t

A: System of differential equation

Q: Solve for the particular solution of the following differential equUations. a. (x³ + 3y)dx –- xdy;…

A: The given differential equation is: x3+3ydx-x dy=0 ;    y(1)=3

Q: 2. Obtain the general solution using Bernoulli's equation. Si l + x/ dx – 6x dy = 0

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Q: Solve the differentfial equation by Using the method of integrating factor for e= dy 24. 2%. dz e-x

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Q: VT - ỷ dx – VT-x dy = 0, y(0) V3

A: We have to solve given problem:

Q: 3. Determine the Particular solution of this equation In terms ofY (xy2)dx + e*dy 0, as x → 0, y ==

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Q: y_x + y х х — 1 dx

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Q: c) Obtain a general solution of + ! dy dx Y = sin x.

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Q: B. Solve the following equation using the determination of integrating factors. 2. y(4x + y)dx –…

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

Q: 4. Solve the Bernoulli DE: dy + y = e*y¬?. dx x.-2

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Q: Find the solution of the initial value problem dy y , y(1) = 5 + tan %3D %3D dx

A: Given initial value problem is dydx=yx+tanyx   y1=π2

Q: 4. Obtain the general solution of x? y dy dx

A: By Bartleby policy I have to solve only first one as these are all unrelated problems

Q: dy dx ycos X こ y(o)=1 I +2y2

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Q: 2. Variable Separable eyx a) dy =D dx ey+x?ey

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Q: Find the particular solution to DE:  2xy dx = ( x^2- 2y^3 ) dy ; y ( 0 ) = -2

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Q: Find the particular solution of the equation 2(x +3) dy – xy dx = 0 %3D - tisfying the initial…

A: Given: 2(x+3)dy-xydx=0     satisfying the intial condition x=-2 and y=1

Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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Q: Solve the homogenous diff equation of; xdx . (y+1) dy y³ e-x = 0

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Q: (4x*y³ + }) dx + (3x*y² –-;) dy = 0 for x(e) = 1 %3D

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Q: Use Euler's method to approximate the solution of the IVP, yx? – 1.2y, y(0) = 1 on the interval [0,…

A: Euler's method: Euler's method is used to find the approximated solution of first order differential…

Q: 6) 3x²y dx + (x² + y²) dy = 0 3

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Q: ædy – y(1+ In y – In æ)dx = 0

A: The given differential equation  is changed to  the variable separable form by using the…

Q: If we solve the DE y dx + 2x dy =0 after converting it to Exact using an integrating factor, then…

A: The solution is Option 4  2.x12.y =c

Q: Solve the initial value problem given below. dy - 3y (-2 – y) dx

A: To Determine: solve the initial value problem.

Q: dx 2x - y dt dy

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Q: dy %3D 3 e*y* dx +

A: Givendydx+y3=exy4To Find:Solution of a given Bernoulli's equation

Q: Solve the Euler equation d²y dx dy -5y = 0 dx 31 d', 3x2 given that y(1) =1 and y'(1) = 2. intai

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Q: Find the General and Particular solution of dy/dx = 3y ; y = 3, when x = 0

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

Q: Use Separation of Variables to solve the initial value problem. dy : (1 + y²) tan z, y(0) = v3 xp

A: solution of the given equation is tan-1y + log(cos(x)) = π3 detailed solution is given below

Q: Solve using the integrating factors by inspection and get the general solution of…

A: The given differential equation is, yx2y2+2dx+x(2-2x2y2)dy=0 Now rearrange terms as below:…

Q: Find the particular solution of (2x²y² + xy' )dx + 3 y? dy 0 that satisfies the condition y=1 when…

A: To solve the following differential equation

Q: y"+y = e" what is the nonhomogenous(particular) solution of the given differantial equation?

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Q: 3. Find the solution to the equation 2ydx – 3xy*dx - xdy = 0 using integrating factor by inspection.…

A: First we find integrating factor to make it exact differential equation.  Then find it solution.

Q: dy/dx=x2+3y2/2xy

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Q: Solve the DE by Integrating Factors 1. y² dx + ( 3xy + y² - 1) dy = 0

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Q: Find the solution of dx - (1+2x tany) dy = 0

A: Given: dx-1+2xtanydy=0