Find the general solution (D3-3D2-3D+1)y = 0

Q: Find the general real solution of d3y/dx3 -dy/dx = x2 + 4 +e4x

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Q: A. Find the general solution of the DE: y" - 2y' +y = 6e'

A: Given A. y"-2y'+y=6et

Q: Find the general solution of dy -2x6 dx y-4

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Q: Find the general solution to y"-y"+y-Y3D0

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Q: If y = f(x) is the solution of y' – 3y =-12.e 9z, f(0) =1, then

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Q: Exercises: 1. Show that y=3e-e is a solution to y"-4y-D0

A: Explanation of the answer is as follows

Q: find the general solution of the given equation. y'' - y' - 12y = 0

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Q: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

Q: Find a particular solution to y" + 4y + 3y = -8te". %3D Yp

A: Given differential equation is  y"+4y'+3y=-8te2t

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: 2. Find the general solution for equation y" - 2y" - 3y + 10y = 0

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Q: Find the solution to xy' +y =x² + 1

A: To solve the given differential equations ,  After some steps , it is converted into linear…

Q: Find the solution. ху+ ху %3D1- у. у(1) - 0 A y = x-'(1 – e'-x) B 2y = x³(1 + e'-2*) 9 y = x-2(1 +…

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Q: Find the general solution of: ydx — х*dy 3D0. || -

A: Use variable separable to solve the differential equation. Note: We are allowed to solve one…

Q: (2x + 3y + z = -1 Зх + Зу + z %3D1 (2x + 4y + z = -2 Give the solution of

A: We can find the answer using Gaussian elimination method as below.

Q: eУ + 2ху'- у %3D0

A: Given equation is, ey'+2xy'-y=0y=ey'+2xy'...1 Multiplying by y in equation (1), we get…

Q: Obtain the general solution of the following equations:   (x-4y-9)dx-(4x+y-2)dy=0

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Q: Consider the problem y' =1-2.xy, y(0) = 0 . %3D Find the solution of this D.E.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The solution of y" = - y, y(0) = 1, y'(0) = 0 is %3D

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Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

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Q: Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

A: Let us consider the given differential equation f(x,y)dx+g(x,y)dy=0 Using substitution,  x=X+hy=Y+k…

Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

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Q: Solve for the solution of: (D3 + D)2y = 0

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Q: 2. Determine C when x-y%3D0 show the solutions. (xy + x)dx = (x²y2 + x² + y2 + 1)dy

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Q: Find the solution of the dy Qoec() +y d'ifferential equation.

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Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

Q: Find the general solution to the DE y"-4y'+13y=0

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Q: Find the solution to the Bernoulli Equation. 2x³y = y(y²+3x²)

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Q: The equation y3 = 3Bx is the general solution of 3y Oy Oy 3xy Ou' = 3y

A: We will form the differential equation using given solution

Q: Solve for the particular solution: dy + 를y3D -2°y"; y(-1) %3D2 dz

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Q: Solve the given problem: y'' + 4y= 3sin2x

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Q: Find the general solution of: y"- 4y' + 4y= e2x %3D

A: Method of variation of parameters : consider the differential equation        d2ydx2+P(x)dydx+Q(x)…

Q: Find the general solution of +3 d² y dx3 + 2x² % + 2x + d²y dx2 dy + 4y = 10x¬1 %3D

A: The solution is given as

Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

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Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: d²y 4y 3e2x. %3D dx2 3.

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Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: Obtain the general solution to the equation. dy y + 7x +1

A: Here we have to find general solution of differential equation

Q: Find the solution of y' = (1 – 4x) y², y (0) = –1 in explicit form

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Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: Find a particular solution to y" + 4y + 3y = 3te". %3D

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Q: = 0

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Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1

Q: Find the general solution for y' = y – xy³e-2x

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Q: Find the Solution to Homogeneous LinearEquation: (D3-3D2-3D+1)y=0

A: Given equation is D3-3D2-3D+1y=0 find the solution of the given equation.

Q: Solve for the general solution. d³x dx -7. - + 6x = 0 dt3 dt

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Q: Find the general solution of y" - 4y/ + 4y = .

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