The point of intersection when the coefficients of dx/dy are equated to zero of the given DE: (x+2y-4) dx - (2x+y-5) dy = 0 is

Q: dy x +1 xy %3D dx

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Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

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

A: The differential equation is given as dydx = 3ydyy = 3dx∫dyy = 3∫dxlny = 3x+lnAlny-lnA = 3xlnyA =…

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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Q: Reduce the given DE into Bernoulli's equation: - 2x*y¬ dx 3 y-4 dy_ y5 2x4 y4 dy dx dx 3 3 dy 2x* у…

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Q: Find the particular solution for (2y - x) dx + 3xy2 dy = 0 when x = 1, y = 1

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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: dx ylnx dy || y + 1 X 2

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Q: Find the general solution of the following: dy 2x3 dx dy = xyi хуз %3D dy = (6e³x + 1)dx

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Q: ∫ 2y dx + 3x dy   where d is described by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1

A: Consider the given integral is, ∫2ydx+3xdy The above equation is of the form M=2y and N=3x. Then, by…

Q: obtain the particular solutions satisfying the indicated conditions: dx/y=(25-x^2)^-1/2dy; y(0)=1

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Q: Using the substitutions X = u+2, y=w+2; dx = du, dy= dw, the DE with linear coefficients (x + y-…

A: Using the substitutions X=u+2, y=w+2; dx = du, dy=dw, the DE with linear coefficients (x+y-4) dx +…

Q: Find the solution and the interval of existence for: (1-x2)dy/dx + 2y = (1-x)2

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Q: Show that the equation is homogeneous and find its solution. dy/dx = x+3y/x-y

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

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Q: Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx…

A: Given that  The following differential equations

Q: Find the particular solution to DE:  ( xy^2 - x ) dx - ( 2x^2y - 3y ) dy = 0 ; y ( 1 ) = 2

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Q: The trial solution for the non-homogeneous equation d²y +3. dx? dy – 4y = (x³ + x)e* is %3D dx

A: Trial solution: - Assume the differential equation's right side, f(x), is a linear combination of…

Q: Find the solution and the interval of existence for  (1-x2)dy/dx +2y = (1-x)2

A: The objective is to find the solution and existence for  1-x2dydx+2y=1-x2dydx+21-x2y=1-x1+x The…

Q: The integrating factor of the equation 2y (x + y+ 2) dx + (y: – x: – 4x – 1) dy = 0 is: %3D

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Q: Find the Complete or Particular solution OF the Followoilng diffi rential equations: (2メコ+ )dx -2メよ…

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Q: Find the solution of: d²y_5dy+3y=0 dx dx where the initial conditions are given as: y(0) = r(0)= 5

A: We will first find it's auxiliary equation then find the c.f. of the equation.

Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: 2. (y + 1)dx + (4x – y)dy = 0

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Q: Find dy/dx in terms of t if x = te', y = -5t – 5e dy/dx = [

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Q: dy Find a solution of x dx y2 - y that passes through the indicated points. (a) (0, 1) y = | 0

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Q: If y is a function of x, then the equation (y - a)dx + 3ry dy = 0 is not linear + but both + and…

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Q: Obtain the general solution using variation of parameters (D²+3D+2)y=cos(e^-x)

A: We have to solve the given differential equation by variation of parame

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

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Q: (ztan 2 +1) dx – x dy = 0

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Q: hich of the following is not variable separable? (А) 2ху dx + (х2 + 1) dy %3D0 A ye' dy - (e-y+…

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Q: What is the I.F of dy/dx = y - xy^3e^(-2x)?

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Q: The approximation of I = f(x-3)** dx by composite Trapezoidal rule with n=4 is:

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Q: Find the particular solution of dy - 2y = x³ sin 4x, y(1) = 2. dx %3D -

A: Using method of Linear Differential Equation.

Q: Find the particular solution of y(9x-2y)dx - x(6x-y)dy= 0, when x=1, y=1. To start, let y=vx.

A: The given differential equation isyax-2ydx-x6y-ydy=0, with y1=1It can be written…

Q: dx-(it 2x tany) dy-0

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Q: dy 2y = 2x/y %3D dx

A: The solution of the problem is given in the next steps.

Q: dy at x=0. dx If y = (3x² + 4x + 5)(e* – cos 2x), then find %3D -

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Q: find the PS of (16x+5y)dx +(3x+y)dy= 0. if the curve to pass thru the point (1,-3

A: 16x+5ydx+3x+ydy=0 -1equation 1 can be written as

Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y)=3x<y becomes dx dz 1 A…

A: Topic  =Differential equation Correct option  = A

Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1) dy…

A: Using differentiation

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: Obtain the general solution to the equation. 3. dx - (у — 2ху)dy

A: Topic - differential Equation

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: (у — сos-x)dx + cos x dy %3D 0

A: The given equation is y-cos2xdx+cosx dy=0 rewrite it as y-cos2x+cosx…

Q: Solve for the general solution of the given non-exact DE. y(y + 2x – 2)dx – 2(x + y)dy = 0 - -

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