I want to solve all the questions by undetermined coefficients method Solve y''-y' - 2 y = 6 x e2 × - 2 eX, y (0) = 1, y ' (0) = 1 A) %3D %3D

Q: Using an appropriate substitution, solve the differential equation zdy/dz + y = 1/y²

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Q: Find the particular solution that satisfies the differential equation and the initial condition. f…

A: We know,  f(x) = ∫f'(x) dx

Q: y" – 2y' + y = ex x5 when y(0)=1; y'(0)=2

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Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

Q: Find the particular solution

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Q: Don’t skip any steps. Solve the separable differential equation : dy/dx = 3x^2y, y(0) = 2

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Q: x’y" -2xy +2y=x 2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Solve dy/dx = y -x with y(0) =1 using the linear multi-step method Yi+1 +(3/2)yı -3yı-1 +(1/2)yi-2 =…

A: First solve the given differential equation: Given : y'=y-xy'-y=-x The given differential equation…

Q: dy dx = x+1 2(y+3)

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Q: (x + 1)dy + 2(y + 1)dx = 2(x + 1)/y+ 1dx

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Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

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Q: 1 Find the general solution x'y" + xy' – y= 1+x

A: To find particular solution we use the method of variation of parameters

Q: dy 8. Jy+ Vy3 = 1; where y(0) = 4 dx

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Q: dy Solve (x2 + 4) 2+ 3xy = x, y(0) = 1 dx

A: We solve the given differential equation by separating the variables.

Q: Find the general solution of the differential equation. Use C for the constant of integration. =…

A: Proceed as shown below...

Q: Find the general solution of the Differential Equation. Indicate which rule you are using. y'' -…

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Q: Given the differential equation -(승) (중), y" Find two values of r such that y = x' is a solution of…

A: The given differential equation is y''-6xy'-8x2y=0. Let y=xr. This gives  y'=rxr-1     and…

Q: Solve the differential equation with appropriate method. Express final answer equated to y^n. (e.g.…

A: The given differential equation is dydx-y=xy2.

Q: 2y" + 3y' + y= 3sin x+ xe

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) 36…

A: Given    dydx=36-12x2x3-9x+3

Q: Particular solution of y" - 4y' + 8y = x³, when x = 0, y = 2, y' = 4

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Q: The differential equation governing the free response of an accelerometer is given as: 4.6 x 10-12 i…

A: Given differential equation, 4.6×10-12x¨+5×10-7x˙+0.4=0 Lets write given equation in second order…

Q: 7. The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

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Q: (x³ – 9x2 + 16x – 144)y²dy = (2x² – 1)e4Ydx %3D - -

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Q: Find the particular solution to the differential equation. (Remember to use absolute values where…

A: Given,           dydx=x+1xy , where x=1 , y=4

Q: Find the general solution of separable differential equation when x=1 and y =1               dy/dx =…

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Q: ( 3x?y + ey )dx + ( x3 + xe - 2y)dy=0

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Q: Solve the differential equation with appropriate method. Express final answer equated to y^n. (e.g.…

A: Given, The differential equation dydx-y=xy2 We have to solve the differential equation.

Q: dy = -y + 2 with the initial value y(0) = -2 dx

A: Explanation of the answer is as follows

Q: 3. (x² – xy + y²)dx – xy dy = 0

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Q: 2. x³ydx+(3x² - y³ )]dy=0

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Q: Solve for solution of differential solution. x(dy/dx) - (1+x)y = xy²

A: Bernoulli's differential equation is: y'+P(x)y=Q(x)yn Then, I(x)=e∫(1-n)p(x)dx And the solution of…

Q: 2ydx+x(x² In y-1)dy=0

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Q: Find the general solution of the differential equation: (1+cos(I)y-(sin(x)y 2x y'+ sin(a) 1+co6(x),…

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Q: +6y+9=5 パ2)vs

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Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

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Q: Determine the Differential equations that you could solve using Separation of Variables, Homogenous…

A: Solve  differential equations - ( y3 + y +1) dx + x ( x - 3y2 - 1)dy = 0. Here i attached solution…

Q: V1+x+y = (x +y– 1) %3D dx

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Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: find the solution of the differential equation     dy / dx = y / (y-x)  with y(5) = 2

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Q: x(2-y) dz Using linear first order differential equation, solve for the general solution of dy…

A: For a differential equation of the form, dxdy+P(y)x=Q(y)  , the integrating factor, μ(y) is defined…

Q: 7. y"-2y" + y = xe* +5, y(0)= 2, y'(0)= 2, y"(0)=-1 %3D

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Q: in differential equation "Find the orthogonal trajectories of each given family of curves and sketch…

A: We need to calculate the differential equation that describes the family curves. Then, we need to…

Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1 %3D

A: We first separate the variables2y2dx=3x2dy2dxx2=3dyy2then integrate both…

Q: The initial concentration of phosphorous (C) in a waste water pond is 10' ppm, as against he…

A: we have dCdt+0.06C=0, C0=107 ppm we know that by Euler's method  yn+1=yn+hftn,yn where tn+1=tn+h we…

Q: x2 dx + y(x – 1)dy = 0 %3D

A: The answer is mentioned in below step

Q: y x2 dx--dy = 0 1 dx +-dy = 0 + xp

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Q: y(2x3 -x2y + y³)dx – x(2x3 + y3 )dy = 0

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Q: ty" + (1 - 2t)у'+ (t - 1)у %3D 0 y1 = et |

A: The solution is given as