y'= x* - 2xy; when x = 1, y = 1 %3D

Q: Find the Differential equation by eliminating the arbitrary constant y= A + bex

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Q: ye2xdx = (4 + e2x)dy %3D

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Q: y'= (x²y- y)/(y+1);when x = 3, y = -1

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Q: ху xy' = y(1+ln2)

A: The given differential equation is  xdydx=y1+lnyx

Q: By using substitution of x-e' and t = ln(x), find the general solution of the differential equation.

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Q: solve the for the general solution of the differential equation( linear homologous equation): (D2 +…

A: We have to solve the differential equation: D2+2D-1y=0 The given equation is in symbolic form where,…

Q: find the solution of differential equation y' = 1+ e*-y

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

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Q: Consider the differential equation: 1 y" – y = What is the general solution?

A: We have to find the general solution of the given problem.

Q: III. dy y³ dx x²y-xyz

A: Sol:- y' =y3x2y-xy2Substitute y=vx, v is a function of xxv' +v=v21-vRewrite in the form of a first…

Q: find the general solution of the first-order linear differential equation. y' − (ln x)y = xx

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Q: Show that the function  y1=x-1 is a special solution of the differential equation y'=1-(y-x+1)2 and…

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Q: One solution of the differential equation y''+y'=0 is y=e^-x. A second linearly independent solution…

A: We will find out the required solution.

Q: (c) y' – y = e2=

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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: (c) y' – y = e2¤

A: We have to solve

Q: Show that the differential equation UTM dy -2 - ye rey - 2y dr is exact and find its solution.

A: Use the concept of exact differential equations.

Q: y' - y = 2x? 3

A: Given:   y' - 3xy = 2 x2   To Find: An explicit solution of the above differential equation by…

Q: 2. Test the exactness and obtain the general solution of the differential equation: 2+yexy y' =…

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Q: Find the general solution of the given higher-order differential equation. у" - 2у" — Зy' — 0 y(x) =

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Q: 11. у" - у" - у +у%3D0

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Q: find the solution of the z'=xz'' - e^z'' differential equation.

A: The differential equation is z'=xz''-ez''                            ......(1) Let dzxdx=vx, which…

Q: Find general solutions of the differential equation      y'=y+y^3

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Q: хду + (у+ 3x)dx — 0; when x %3D1, у%3D3

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Q: find the solution of differential equation y' = 1+e-y

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Q: 6. (x- y)dy+(x+y)dx = 0

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Find the general solution of the differential equation: y" – 2y - 3y= - 3te. Fi: of the…

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Q: Consider the differential equation (y + 4)y' = gʻ-16). Is y = cx + 4 the GENERAL solution to this…

A: Simply solve the given differential equation and compare with the  given solution.

Q: y'= 2.xy /(x² – y² )

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Q: Solve the non-homogeneous differential equation of 6y"-y'-y=1-x-x?

A: Given differential equation is  6y"-y'-y=1-x-x2

Q: ylv – y" = 4x + 2xe-*

A: the

Q: 2. (x'y* +2x²y– y²)+(x*y³ – 2x³ )y'= 0 when x = 1, y =1 %3D

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Q: 1) (y = 1

A: As per our guideline we can solve maximum one question you can repost other questions

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''+y=2x

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Q: '+y- y²(cos 2x– sin 2x) = 0

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Q: This is a differential equations problem.

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Q: Solve the given differential equation by separation of variables. y In(x) *- (1)* %3D Ap

A: Solution :-

Q: Find the general/particular solution of the given differential equation:

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

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: find the general solution of the first-order linear differential equation. xy' + y = x

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Q: 6, find the general solution of the given differential equation: y" - 5y + 4y = 2et (

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Q: Find the general solution of the equation by looking for a special solution of the homogeneous part…

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Q: Find the general solution of the given higher-order differential equation. у" - 5у" - бу"%3D о y(x)

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Q: Solve (first order linear differential equation): y'-3x2y=ex^3

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Q: use the method of variation of parameters to determine the general solution of the given…

A: First calculate the complementary function.

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

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Q: Find the general solution of the given second-order differential equation. бу" + у' %3D 0 y(x) =

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Q: Find the linear homogeneous differential equation with constant coefficients and the general…

A: Given the solution is y=2+3x-4x2e4x+e4x   NOTE: If Auxiliary equation of a differential equation…