The general solution to the equation given as y"(x)-y'(x)+y'(x)– y(x) = 4e"+2x i1d

Q: The differential equation (4x2y2 + 6x y )dx + (5x3y + 8x2)dy = 0  has an integrating factor of the…

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Q: Solve the differential equation by variation of parameteres subject to the initial conditions…

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Q: Give the general solution of the differential equations.   y" - y' - 6y = sin 2t

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Q: The Bernoulli's form of the differential equation 2x³dy-− y(y² + 3x² ]dx = 0 is

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Find the general solution of the differential equation y" y 42y = -122t+84t². - - NOTE: Use t as the…

A: Given: The differential equation y''-y'-42y=-122t+84t2 To find the general solution of the given…

Q: Find the differential equation of the cubics : cy^2= x^2 ( x - a ) with a held fixed.

A: Here c is arbitrary constant and a  is fixed. So we have to find a differential equation which does…

Q: The solution of the differential equation In(y')=2x-y is given by

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Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

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Q: y' – tan y-2x x+1 y+2 r+1 -

A: Given the DE is y'-tany-2xx+1=y+2x+1. Find the general solution of the DE.

Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

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Q: Solve for the general solution of the differential equation using homogenous equation. [x cos² (y/x)…

A: We will write the general solution.

Q: 3. (D² +1) y=tan(x)

A: solve using Non-homogeneous Hihger Order Differential Equations: By the method of variation of…

Q: The differential equation (x+ 2y - 4)dx - (2x + y- 5)dy = 0 represents non-parallel lines.

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Q: For non-homogeneous equation y" – y' – 2y = sin(x), - how to choose a particular solution of y,=? Do…

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Q: The solution of the differential equation y + 2y +y=2e X using the method of variation of parameters…

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Q: The equation x² + e¤y = c defines an implicit solution of the differential equation

A: We have to differentiate the given equation with respect to x first.

Q: What is the general solution ti the differential equation (x-4y-9)dx+(4x+y-2)dy=0 ?

A: Given: x-4y-9dx+4x+y-2dy=0

Q: Find general solutions of the differential equation      2x^2y-x^3y'=y^3

A: 2x2y-x3y'=y3 We need to find the general solutions of the differential equation.

Q: Solve for the General Solution of the given Differential Equation y' = y – xy³e- -2x

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Q: Solve for the general solution of the differential equation (x + 2y -1)dx – (x + 2y – 5)dy = 0 using…

A: We have the differential equation x+2y-1dx-x+2y-5dy=0 We can write it as: dydx=x+2y-1x+2y-5…

Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

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Q: Find the particular solution to the differential equation. 2y2 dx = 9x2 dy when x = 2, y = -3

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

A: this is variable separable differential equation will separate the variables on both sides and then…

Q: Find the general solution to the non-homogeneous differential equation using the Method of…

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Q: What is the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0?

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Q: Find general solutions of the differential equation  2y+(x+1)y'=3x+3

A: To find general solution of differential equation 2y+x+1y'=3x+3

Q: Find the general solution of the differential z-y+3 equation y' I-y

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Q: B) Use the method of Undetermined Coefficients to find the general solution of the differential…

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Q: y(4x + y) dx - 2(x² - y) dy = 0

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Q: Determine the form of a particular solution yp(x) for the differential equation:   (c) y'' + 4y =…

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Q: Solve the given third-order differential equation by variation of parameters. y"' + 16y' sec(4x) =…

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Q: Solve the first order differential equation using any acceptable method. (6x+1)y2 dy/dx+3x2+2y3=0,…

A: Given the differential equation isNow separate the variables as follows

Q: Find general solutions of the differential equation    (x+2y)y'=y

A: Given differential equation is Convert it in linear differential equation by simplifying. This is…

Q: Find general solutions of the differential equation  (x+e^y)y'=xe^(-y)-1

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Q: This is a differential equations problem.

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Q: 7e-3x+2x² -xcosx y' -6y3

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Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-2y'=ex

A: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-2y'=ex

Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

Q: x³y" + 3x?y" = 2x +1

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Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: An integrating factor for the linear differential equation Y' - 2y = 12x is l=

A: The given differential equation is y'-2y=12x. Clearly, the given DE is a first order linear…

Q: Find the general solution to the non-homogeneous differential equation. y" - 3y' = sin(3x)

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Q: The solution for the differential equation dy dx tan-¹x 1 1+x² (et - y is

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Q: Solve the given third-order differential equation by variation of parameters. y"' – 3y" + 2y' =…

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Q: Q3: if y'-f(y/x) where v-y/x Find a solution to the differential equation 2xyy'-y2+x2 =0 ?

A: Given

Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y'''+y''=3

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