Find the general solution of the ordinary differential equation -2x y"'- 2y'= - 5+e

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

A: Given the differential equation y’ = 1 – ( y – x + 1)2 and we have to show that y  = x -1 is a…

Q: What form of the particular solution is appropriate for the differential equationy" - y'=4?

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Q: y + 3xy' – 2(y')³ = 0

A: Product rule of differentiation: (fg)'=fg'+gf' Chain rule of differentiation:…

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

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Q: Create a third order, non-linear Ordinary Differential Equation with enough initial values to be…

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Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''=4

A: Solution :--

Q: Find the general solution of the first order differential equation (x+2) y′ + 4y = (3x + 6)-2 lnx.

A: Given: x+2y'+4y=3x+6-2lnx for finding solution of given differential equation, first we convert it…

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

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Q: 7. Find the particular solution of the differential equation dx +5x³y x³ passing through the point

A: Given, dydx+5x3y=x3,   0,72 it is a linear differential equation p(x)=5x3,  q(x)=x3…

Q: use the method of variation of parameters to find a particular solution of the given differential…

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Q: Find general solution of the Euler differential equation x2y” + 3xy’ - 3y = 0

A: x2y” + 3xy’ - 3y = 0

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: Find the general solution of the first order differential equation 2xy(dy/dx)=x2-y2

A: The given differential equation is a homogeneous. See attached file for a step by step explanation.

Q: Find the general solution of the first-order linear differential equation y′ + 3y = e3x for x >…

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Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у - E

A: Explanation of the solution is given below....

Q: Explain how to solve a separable differential equation of the form g(y) y'(t) = h(t).

A: A separable differential equation is one in which the terms of two variables in the term can be…

Q: ex 2. y" — 2у' + у %3 1+ x2

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Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: What is the particular solution to the differential equation with the initial dx condition y(-2) =…

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Q: Find a linear differential equation with constant coefficients satisfied by e² ³x, and e4x

A: A linear differential equation having auxiliary roots m1, m2, m3,....... have following independent…

Q: Find the general solution of xy' + y = y2lnx Bernoulli's differential equation.

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Q: y = Ae* + Be-*

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Q: Find the particular solution that satisfies the differential equation and the initial condition. x²…

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Q: Show that y - In(x +1) is the solution of the differential equation of (1+ x*)y= 4x':

A: Use the formula below to perform the differentiation .

Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it

Q: (D² + 4)y = Sinx

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Q: What is the particular solution to the differential equation +1+y = 2e- with y = 1, 2=-1 when x = 0?…

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Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

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Q: form the differential equation corresponding to (y-b)2=4(x-a)

A: (y-b)2 = 4(x-a)

Q: у" - 2у' + у %3D et + Зех 1+x2

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Q: Find the particular solution that satisfies the differential equation F'(X) = 10x − 12x3 with an…

A: Given the differential equation: F'x=10x-12x3 Initial condition: f3=2

Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: Use the method of Undetermined Coefficients to find a PARTICULAR SOLUTION to the differential…

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Q: Find the particular solution to the differential equation y'=2x passing through the point (2,7)

A: given differential equation is y'=2x we can write it as dydx=2xdy=2xdxy=x2+c

Q: 4. Solve the differential equation by separable variable method, (ex + e-*): dx e-*) = y?.

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Q: Obtain a linear differential equation with real, constant coefficients that is satisfied by the…

A: If the particular solution is: y=2excos3x                                        ....(1) The first…

Q: Give the detailed solution of this differential equation using 1st order and 2nd order 1. (y') ² +…

A: This is a problem of differential equation.

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

A: To find The particular solution that satisfies the differential equation and the initial condition.

Q: Find the general solution of the first-order differential equation                       y cos x −…

A: Given: y-1cosx+dydx=0 for finding solution of given differential equation, we use variable separable…

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y ae" + be-ª.

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

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Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: Solve the differential equation for y= y(x) if y+2ry + 2x = 2 + 2y given the initial condition that

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Q: 4. Obtain the Differential Equation from the family of curves of the form y = xC

A: To form a differential equation from given family of curves. Differentiate given family of curves…

Q: The solution of the exact differential equation (ycosx + 2xe") + (sinx + x²ev – 1)y' = 0 is:

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