У(у + 2х — 2)dх — 2(х + у)dy %3D 0 -

Q: Find the complete solution for the following ordinary differential equation y" - y' - 2y = x²

A: Sol

Q: For the differential equation x-4y"-2y'+y 0, the point x = -2 is Select the correct answer.

A: One distinguishes the following cases: Point a is an ordinary point when functions p1(x) and p0(x)…

Q: Find the general solution to the differential equation: y' = 8x + e²r

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Q: The general solution of the following differential equation y(4) – 16y = is:

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Q: yー 5y+6y= xex

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Q: Solve the following first order differential equations.  yy' = (y2 - 1)(x2 + 1)

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Solve for the general solution of the below differential equation y" + 8y + 25 0

A: Given the differential equation is y''+8y+25=0. Calculate the general solution of the given…

Q: a) y(4) – y – 19 = 0 - |

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Q: 4. (y+1)y" =(y')²

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Q: Find the general solution to the following differential equation: y" - 2y'+y=x²-1

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Q: 4. 2a y' = y (y² + 3x²)

A: Given:- 2x3 y' =y(y3+3x2) To find:-.  General solution of given differential equation

Q: (x5 — y2 )dx + 2xy dy = 0

A: Given: (x5 — y2 )dx + 2xy dy = 0

Q: Find the general solution of the following differential equation. -2,,4 (2) x²y" – 2xy' = x=2y4 -

A: Differential equation is the combination of variables and their derivative forming an equation. We…

Q: Solve for the general solution of the below differential equation. y" + 3y' + 2y = 2x² + 4x + 5 1…

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Q: (1 – x)y' = y²

A: To Solve for the general solution of the following first order differential equations.

Q: The general solution of the following differential equation y(5) – y' = 4x %3D is:

A: Given equation is, y5-y'=4x

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x a. None of…

A: Homogeneous Linear Differential Equation with Constant Coefficients: A homogeneous linear…

Q: 4. Identify whether y' - 3y = 6 is a linear differential equation or a Bernoulli equation, and solve…

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Q: 3. (D² + 4)y = 5e* – 4x2 -

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Q: c) y' = -y2e* d) y' = y2 - 4

A: Use the variable separable method to solve.

Q: Find a differential equation whose general solution is 8t -6t y = cje + c2e = 0

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Q: 1 1 -y² 4x 1 y' 4x 2xp = 2

A: Givendydx=y24x-y4x-12x,yp=2

Q: 1) Find the differential equation that would yield the solution given below. y = C1 + C2X

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Q: What is the solution of the following differential equation that satisfies y (1) = 7 and y '(2) = 3?…

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Q: In the given question , determine whether the function is a solution of the differential equation…

A: To Determine: y = 3 cos 2x  is a solution of the differential equation y(4) -16 y= 0.

Q: Q3/ Solve the following Second order differential equations. 1- d²y dy - 3x - 12x 3 = dx dx² -

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Q: Solve the given differential equation by separation of variables. dy xy + 5x - y - 5 dx xy - 2x + 6y…

A: We can solve the given differential equation by using the variable separable method.

Q: y!V – y"'+ 2y' = 0

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Q: Solve the following differential equation: + 2y +v -

A: We have to find the solution of the differential equation…

Q: Find the general solution to the following differential equation: y" - 2y' + y = x² - 1

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Q: Solve the following differential equation y2 xy' =-+ y

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Q: Solve the given problem (3x?y3 – 5x*)dx + (y + 3x³y²)dy = 0 on Exact First Order Differential…

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Q: Obtain the general solution of the following higher order differential equation. 3. (D3 + 8D2 - D -…

A: The given higher order differential equation is D3+8D2-D-8y=0

Q: (i+ y? tXy?) dr t (x?y ty +2xy) dy

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Q: Find the general solution for the following differential equation: −(10x+y)+(−(x+18y))y′=0 If the…

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Q: 1.3x – xy = c -

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Q: y" – 4y' + 13y = e2* cos 3x

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Q: By exact differential equation, solve the following 1. (6x + y2)dx + y(2x – 3)dy = 0

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Q: Solve for the particular solution of the following differential equations: X*yy' = ev when x = 2, y…

A: The given differential equation is: x2y y'=ey when x=2,y=0

Q: Find the general solution of the following differential equation: (x^2 + 1)у' + 6ху -х

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Q: 4. Solve the following Second Order Differential Equation y" +y = r² +1.

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Q: dy 6x²y² for y + 0

A: We have to solve given problem:

Q: dy 3(1+x2)=2ry(y3-1)

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Q: Solve the differential equation as follows: (3 + 5x?y³ + 4xy* + 3y³)dx + xy²(3 + 4xy + 3x)dy = 0

A: To solve the differential equation as follows: 3+5x2y3+4xy4+3y3dx+xy2(3+4xy+3x)dy=0

Q: Solve the differential equation as follows: 8x(x² + 3xy + y-1)dx + (28x³ + 5x*y¬'+ 6x²y=² + 6y¯z)dy…

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Q: x²y" – 5xy' +13y = 0

A: use Cauchy Euler method to solve such type of differential equation.

Q: 2.Solve the linear differential equation for general solution y′′ − 20y′ + 100y = 0,

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Q: Solve the given differential equation by undetermined coefficients. y" + y" = 8x2 y(x) = %3!

A: The solution is given as