Use the method of undetermined coefficients to solve the following differential equation correctly: y"+4y=4x Answer: y(x)_____________+ C1____________________+C2____________________

Q: - y' = y – xy³e-2x

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

A: Sol

Q: 6. у" — 2у' %3D 5

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

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Q: Solve the following differential equation by any method you suggest: 1 (1-x²) y' – - y' = x

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Q: The general solution of the differential equation y" + 10y' + 25 = 0 can be written in the form y =…

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Q: The general solution of the differential equation 81.x² y" + 81xy' + (81x² – 25)y = 0 is? Check all…

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Q: Find the solution of the following Differential Equations 7) y'=(y-x) 9) y'=-x+1 ソーx+5

A: 7)

Q: Find the solution of the following Differential Equations 5) y'= -x y+x

A: As per guideline we have to solve only one question

Q: Find the general solution to the following differential equation : y' = y²e + y(ete -(ee-e-et) Yeez…

A: Given differential equation y'=y2e-eex-e-ex+yex-ex+ex-ex. The objective is to find the general…

Q: Given a differential equation as follows: 12y''-5y'-2y=0 Solve the equation

A: The given differential equation is 12y''-5y'-2y=0

Q: 4. 2a y' = y (y² + 3x²)

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

Q: convert the following differential equation into a Perfect equation and then Find its general…

A: To find the solution of the given differential equation.

Q: 4. Зx2 + — 8(у + 1) %3D 0 x3 dy y+1

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Q: 3. (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: Solve for the general solution of the following differential equations: y' = -4xy

A: solve the equation

Q: In the given question as follows , find the general solution of the differential equation using any…

A: Given: dydx=lnx2+x For finding solution of given differential equation, we use variable separable…

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

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Q: Given that e* and e5x are solutions to the differential equation y" - 4y' - 5y - 0, find the…

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Q: Find the particular solutions for the following differential equation: y`+2xe^-X^2=0, y(0)=4

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Q: 1. Solve the solution of the differential equation dt dx = x2 – 2x + 2

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Q: Show your solution. Given the differential equation: x(x+3)y'' - 9y' - 6y = 0 Question: Which of…

A: As x=0 is the singular point then we find the series solution of the given problem by Frobenius…

Q: Q1: Find the general solution to the following differential equation: y"-2y'+y=x²-1

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Q: 2x³y' = y(y² + 3x?)

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Q: 2. (1-y) y' = x2

A: The given DE is: (1-y)y'=x2...(1)

Q: In the given question , find the general solution of the differential equation. yr = x (1 + y)

A: The given differential equation is y'=x 1+y. Solve the above equation as follows.

Q: y² + y²e@) + 2x²e@°* + 2x²e6)* x' = 2xye

A: The given differential equation dxdy=y2+y2exy2+2y2exy22xyexy2

Q: Find the solutions to the following problems. Use the most appropriate method of solving ordinary…

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Q: d²y dx2 +y=x²+2

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Q: 1.3x – xy = c -

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Q: If the differential equation y = 3px+ 6p°y? while solving for x takes the form x = then f(y,p) = (a)…

A: Giveny=3px+6p2y2x=f(y,p)To find f(y,p)

Q: The general solution of the following differential equation y(5)- y' 4x

A: we have to solve differential equation

Q: Find the value of a, if b = 10 so that the general solution of this ordinary differential equation…

A: Differential equation.

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

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Q: (y')³.x – (y')².y – 1 = 0

A: Assume y'=p, write the given equation in terms of y then differentiate the equation with respect to…

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

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Q: One of the following is a solution of the differential equation y"-y=0

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Q: 2. Solve the given differential equation. x2 y' = y(1+x³)

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Q: Find the general solution of the differential equation.For x=3,m=11

A: Introduction: A higher order linear homogeneous differential equation has only complementary…

Q: 4- y" + y = x² +x

A: This question is based on general solution of differential equation                  Y = C.F + P.I…

Q: Solve the following differential Equations y' = y-x ; @ y(0)=3

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Q: Solve the following initial-value problem. dx 5- dx dx - 4x 0, x(0) = -1, (0)= 1 dt dt The solution…

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Q: Q1: Find the general solution to the following differential equation: y" - 2y' + y = x² - 1

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Q: 5. (4x'y- 15х? - у )ӑx +x* +3у - х)dy-0

A: Differential Equation is              4x3y-15x2-ydx+x4+3y2-xdy      It is of the form Mdx+Ndy=0…

Q: find the general solution of the following differential equation if one solution is known to be y=x…

A: Using the reduction of order

Q: x²y" – 2y = 0

A: