For the differential equation (2y - x³) dx + 3 x y'dy = 0, what is P (x) and q ( x) ? 2 А р (х) %3D ; q (x) = 3x 3 -2 -; q (x) = 3x B p ( x) = 3 x2 -3 (с) р(х) %3 -; q (x) = - 3 x² 2x 3 -; q (x) = 2.x p (x) = 3

Q: 3. y" - 2y" - у' + 2у %3D е4x + х2 +1

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Q: Select the general solution to-the differential equation: y = 3x y 1 y = Vx3 + C y = e3z3 y = Cez 1…

A: Given Differebtial Equation,  y'=3x2y dydx=3x2y

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

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A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

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Q: Determine the general solution of the differential equation y" – 3y' + 2y 1+e-x

A: We have given differential equation  y'' - 3y' + 2y =11 + e-x Now, Consider the Auxiliary Equation,…

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Q: For the differential equation (x2 – 16)y" + (x – 4)y' + 2y = 0, the singular %3D points are: O x=4…

A: Let us consider the differential equation y''+P(x) y'+Q(x)y=0 Where P(x) and Q(x) are function of x…

Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y= 0, the singular points are: %3| x=2 and…

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Q: general solution of the differential equation x³y" + 6x² y" + 4xy' − 4y = 0 3 - is \x{(x) = ₁₁x + ²…

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Q: What is the general solution to the the differential equation3y" - y'- 2y = 10e *?

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Q: 1. Determine whether = is a solution of the differential equation y'--y = 0 3 y' = 6x² а. 6x2-…

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Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0…

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Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: The general solution of the differential equation x2y′′+xy′+(25x2−9)y=0x2y′′+xy′+(25x2−9)y=0 is?

A: The differential equation of the form  x2y''+xy'+x2-ν2y=0            i is referred to as Bessel's…

Q: The solution of the Ordinary Differential Equation 4y" - y' - 3y = 0 if y(0) O and y'(0) %3| 7 - is:…

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Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

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Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y = 0, a regular singular point is: X=4 x=2…

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Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

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Q: The differential equation ax - x-2y+3 2x+3y-4 is reduced to [homogenous or separable

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Q: 2. Solve the differential equation (3.x² – x³ + 3y – 3.xy – y³)dx + 3(x + y²)dy= 0, - by determining…

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A: Given, Y"+2y' =4x-3ex

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Q: The Integrating Factor of the differential equation (x - 16) + (x- 4)y = (16- 2)e is 7z x-16 Ox+16 O…

A: Given differential equation is: (x2-16)dydx+(x-4)y=(16-x2)e7x

Q: What is the general solution to the differential equation (2x-2y-3)dx=(2x-4y-2)dy

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A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: 4) In the differential equation of, y(x³ – y)dx – x(x³ + y)dy = 0 - where a and ß are constants,…

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

Q: Find the particular solution of the given differential equations. (x² + 2xy - 4y²)dx - (x² - 8xy -…

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A: Given :(2xy2-2y)dx+(3x2y-4x)dy=0

Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: If yy of a differential equation is ce2x + Cze3x + cze-3x, then W = (a) 0 (b) (c) 5e-* (d) e5x d O a…

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Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0…

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Q: In the differential equation (2x+3y-5)dx+(3x- y-2)dy=0, the lines 2x+3y-5 =0 and 3x- y-2 =0…

A: This question can be solved using the concept of solving two linear equation.

Q: For the differential equation x2y'' - 7xy '- 20y = 0, check that y1= x-2 is a solution. Find its…

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Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: Find the value of k so that the given differential equation is exact. (³ + kxy¹ − 2x) dx +(3xy²…

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Q: Compute the value of the constant k for which kx²e5x is a particular solution of the differential…

A: We compute the value of the constant k for which kx2e5x is a particular solution of the differential…

Q: 4. Solve the differential equation 2x(2x – 1) - (x + 1) + y = 0 using the method of Frobenius. dx2

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Q: is a solution of the differential equation y" + (3x + 1)y' + 3y = 0 , then its coefficients Cn are…

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Q: Find the general solution of the first-order linear differential equation y′ + 3x2y = 6x2 for x >…

A: Given: The first-order linear differential equation: y'+3x2y=6x2 for x>0.

Q: For the differential equation (x2-4)y" + (x- 2)y' +2y = 0, a regular singular point is:

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Q: Choose a solution for the differential equation y'' - y = x2ex + 5: e-x(1/6x3 - 1/4 x2 + 1/4x + 3)…

A: Given non- homogeneous differential equation,y''-y=x2ex+5  ...(1). Solving the homogeneous part:…

Q: y'=-8xy² +4x(4x+1)y-(8r² +4x² –1) Find the general solution of differential equation

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A: The solution is given as

Q: Find the solution of the differential equation у" — 4у — 4х — Зех - y = Ce2x + C2e¯2x + e* + x а.…

A: Solution:

Q: The solution to the differential equation (5x² – 3)dy + xy°dx = 0 %3D is: Select one: 10 ソ=ー In(5x²…

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Q: The General solution of the differential equation 3x2 + 2x + 6 is x3 + x2 + 6x dy using variable…

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