Find the particular solution of r*y – y y+1 ; y (3) = -1

Q: Solve the initial-value problem using the method of undetermined coefficients. y" + 5y' – 6y = 8e2x;…

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Q: Find the solution of dy e y- dr ey +e-2x-y

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Q: The particular solution of y+y-2y = e?x is

A: To find The particular solution of the given D.E.

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

A: Given A. y"-2y'+y=6et

Q: Find the particular solution that satisfies the initial condition. x3y'+2y=e1/x^2, y(1)=e

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Q: Solve the initial value problem using the method of undetermined coefficients.  y"+4y'+4y=(3+x)e-2x,…

A: The given intial value problem is given by,

Q: Given the initial condition y(0) = 1, find the particular solution of the equation yy' - 6x = 0

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Q: Find the general solution of the DE: y"+y' + 2y = 0

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Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

A: Here given the differential equation as xyy'2+x2+y2y'+xy=0 Replace y' by p, then xyp2+x2+y2p+xy=0…

Q: Find the particular solution of y2dx+x(x+y)dy=0, when x=1, y=1. Let x=vy.

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Q: Find the solution satisfying the initial conditions: y" - y = x2 y(0) = 0 y'(0) = -1

A: Given that: y''-y=x2

Q: The general solution to y'' - xy' + y = 0 is given by:

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Q: Find the general Solution of DES: x yy'= x +3y

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Q: find the general solution of (y^3 + yz^2 -z)dy + (z^3 + y^2 z - y) dz = 0

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Q: Find the general solution to t²y" +2ty' - 2y = 0 given that y₁ (t) = t is a solution.

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Q: If y is a solution of y"+xy'+3y =0 then find the

A: Find y' and y'' from the equation y=∑m=0∞ amxm .                                       y'=∑m=0∞…

Q: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: Obtain the particular solution of (3x2 - 2y2)y' = 2xy; x =0, y=-1.

A: We have to solve

Q: Find the general solution to y" – xy' = 0. -

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Q: 6. Find a general solution to the third order equation y" + y" + 3y – 5y = 0.

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Q: determine the particular solution of: y"-4y'+3y=e^t +t^2

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Q: The general solution of the DE: -y = 1 is y= x(x + c)

A: given,1xy'-1x2y=1multiplying throughout by x we gety'-1xy=xnow, integrating factor μ(x) is given…

Q: 12. Find the general solution of x²dx + y(x – 1)dy = 0

A: This is a variable seperable DE.

Q: y" - 4y - 12y = e6t

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Q: 3. Solve y' = , with initial condition y(1) = 0. y2 – 1 x3

A: It is given that the differential equation dydx=y2-1x3. Using variable and separable method to…

Q: Find the general solution of the given DE. y"-2y"-y'+ 2y 0 %D

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

Q: Find the particular solution of y²dx + x(x+y) dy=0., when x=1, y=1. Let x=vy

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Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. Find the complete solution of: y" - y' + y = 1 with y(0)=a & y'(0)=ß

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Q: solution of the di dy x + 4y = * x2

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Q: 2 Find the solution. ху'+ ху %3D 1-у, у(1) %3D 0 A y = x-'(1 – el-') B x = y-'(1 + el-) В © 2y =…

A: Solution of the differential equation

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-'(1 – e!-") y = x-2(1 + e'+*) © x=y-'(1 + e'-1)…

A: Given differential equation is xy'+xy = 1-y, y(1) = 0

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

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Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1

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Q: -Find the solution of y"+y' + by = 0 by transforming y = x"u|

A: Put y=xαu in the given equation y'=xαu' y"=xαu" Then the equation becomes xαu''+axxαu'+bxαu=0 Now…

Q: 5. Find the general solution of yy' + y² = x a.y = x -+Ce-2* b.y² = x ++ Co-* c.y² = x -+ Ce-2r…

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Q: Find a particular solution of y''− y' − 6y= e^2x

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Q: Find an actual explicit solution to y′=t/y,y(2)=−1.

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Q: d®y dæ 3 y (0) y' (0) 1 y" (0) = 0 ||

A: Let us consider the differential equation L[D]y=Q(x) Particular solution for the differential…

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 y = x-2(1 + el+*) Bx = y-(1 + e'-") y = x-(1 - e'-) D…

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Q: Find the general solution of the given DE 2xy^2 + 4 = 2(3-x^2y)y'

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Q: Find the solution. y'- ty = ty" A y - (1-e') ® y - (1-a') © y - (1-")

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Q: Yp = Find a particular solution to y" + 5y' + 4y = - 19te³t.

A: Introduction: The differential equation has a particular solution, which is a singular solution of…

Q: c) give a particular solution for y" – 2y' + y = 3e* + 1+x

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Q: 3. Find the general solution of dy = y(xy – 1). d:r

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Q: The solution to = x² /y with initial condition x = 0, y = 1 is b. y = d. y = e+1 a. y = x+1 e. y =…

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Q: 4. Are y1 (x) = e*and y2(x) = x + 1 solutions of the D.E. xy" – (x + 1)y' +y = x2. Are y1(x)…

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