ylv – y" = 4x + 2xe-*

Q: 5x y = C, + C2e4x 4

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Q: Find a suitable form for particular solution of the differential equation y5) + 25y3) = 5 – tešt +…

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Q: Find the general solution of seperable differential equation dy/dx=x3y2

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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: 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 first order of differential equation dy/dx = y2 -4 using seperable method

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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: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

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Q: Determine the solution to the differential equation given by: y'=6y2/x

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

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Q: 4. Solve this linear differential equation by using the appropriate integrating factor +y =x - 1+

A: A differential equation is an equation that involves derivatives or differential coefficients or…

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

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Q: Find the general and Singular Solution of the following differential equation y=2PX-P²

A: To Find:  General and singular solution of the following differential equation :      y = 2px - p2

Q: Find a particular solution yp of the nonhomogenous differential equation y(3) + y' = x sinx + x²e* +…

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Q: Determine the general solution of the given differential equation

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

Q: y' - y = 2x? 3

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

Q: Q1 By eliminating the constants A and B from the equation y = Asin 2x + B cos2x, form an ordinary…

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Q: Find the general solution of the first-order linear differential equation

A: To solve the differential equation dydx-5yx2=1x2, isolate the variables x and y.…

Q: (a) y = Ae + Be+Ccos 2x + Dsin 2x

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Q: y' = y + y3

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Q: Determine the appropriate form for yp on the differential equation y" = 9x^2 + 2x - 1 %3D

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Q: - ydx + (x ++ Vxy )dy= 0

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Q: y(4) – 16y" = e¯* + sin3x y

A: find complementary function and particular integral and add them

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

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Q: Find every nonzero solution of the differential equation y = y +2y°.

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Q: Solve the 2nd order linear differential equation y" – y' = 5e* – sin2x %3D

A: The auxiallary equation for the given differential equation is given by

Q: y = 2 -[(1+y(t))sin tdt.

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Q: The particular solution of the differential equation: et y" – 2y' + y =

A: Please see the explanation below

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

A: Solution :-

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

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Q: Use the method of separation of variables to find the general solution to the following differential…

A: Given: x'=x Here x is the dependent variable. Let us take t as the independent variable. Then the…

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

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Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² +…

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Q: Find the general solution of the given third order differential equation. y" +y" – 2y = 0

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Q: Form a differential equation by eliminating the arbitrary constants A and B from the equation y =…

A: to find differential  equation we first form two Equation by differentiating y two times using…

Q: y' = ycotx + y²cscx

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Q: Calculate the particular solution to the forced differential equation x" + 3x = 5cos(2t)

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Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: Solve the 2nd order linear differential equation y" + y' +10y =

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Q: Find the differential. Equation by eliminating the arbitrary constant  y = Ae2x + Be-2x

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Q: Find the solution to the differential equation dz 2te12 dt that passes through the origin.

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Q: Find the solution to the differential equation dz 3te3z dt %3D

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Q: Find the general solution of the given differential equations. y" – y' – 2y = cosh(2x)

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

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Q: Use the method of variation of parameters to find the general solution of the given differential…

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