Solve:  w + x + y + z = 2w + 2x + 2y + 4z = 1− w + x − y − z = − 6− w +3x + y − z = − 2

Q: y"-9y=x/e^3x

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Q: solve using method of undetermined coefficients 2y'+4y=3cos(2t), y(0)=0

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Q: Solve the IVP. y'-7y(6-y), (0) = 5 %3D y3=

A: Given  y' = 7y(6-y)dydx = 7y(6-y)dyy(6-y) = 7dx                              (1) We will solve it by…

Q: Determine by substitution if y(x) =xe* is a solution of y"- 2y' +y = 0 %3D

A: Given  The differential equation is y''-2y'+y=0

Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: Solve 4y" + 4y' + 17y = 0, y(0) = -1, y'(0) = 2. %3D

A: We will find out the required solution.

Q: Solve the IVP: y"+5y'-6y=10e2x ; y(0)=1, y'(0)=1

A: Given that "+5y'-6y=10e2x ; y(0)=1, y'(0)=1

Q: Determine the particular solution to y''+3y'+4y=3e4x

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Q: , Find the solution of 4x²y" – 6x²y' + y = 0, x > 0 of the form Y1 = ="(1+cqx+ Czx² + czx³ + • . ·)…

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Q: Solve by the subtitution method 2x+5y= 14 4x-7y= -23 (x,y)=

A: The given equations,2x+5y=144x-7y=-23

Q: Find the general solution to: y(x² +1) + y' = 0, for y > 0.

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Q: Solve the IVP 2y"+5y'-3y=0 y(0)=-5 y'(0)=29 y(x)=?

A: The given differential equation is                                                   2y''+5y'-3y=0…

Q: Solve for x and y. (3x + 4j)(4+ 3j) = 3e2)

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Solve the IVP *y" – 2ty + 2y = 4t², t>0, y(1) = 1, y(1) = 5

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Q: Find the general solution of the BDE, y' = a. y=1-Cx 2x2 b. y= 1+Cx С. у3 1+Cx2 2x d. y= 1+Cx2

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Q: Solve the IVP: y" - 6y' + 8y = 0, y(0) = C

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Q: Find the general solution to: y(4) – 2y" + y = 0

A: The differential equation is given as y(4)-2y''+y=0 Corresponding auxiliary equation is given as…

Q: Solve for x: 3x -y = 2 - 3y 2-4y ox = V +2 %3D 2-2y %D 3 - %3D 3. O x = 2 - 2y - 3 3.

A: Let us consider an equation ax+by=c  Then solution for x is given as, x= (c-by)/a

Q: Solve for y:  x = y2 - 1, y ≥ 0

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Q: use Separation of Variables to find the general solution. 2y' + 5y = 4

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Q: find a particular solution to: y''+5y'+4y=8te^(2t)

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Q: Solve 1- y"- 6y' + 9y 4e Ans. y Ce +c,xex+2x2er

A: Note: Since you have posted multiple independent questions, we will be solving only the first one…

Q: Verify that 3e-2x + 4e* is a solution of y'"'' – 3y' + 2y = 0

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Q: Find the solution of x²y" + xy-4y=0 where y(1) 0 and y (1) 4

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Q: Solve :  x + 6y + 3z = 42x + y + 2z = 33x − 2y + z =0

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Q: Find the general solution of æ²p+ y²q = (x + y)z.

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Q: Solve for the solution of the DE: y(4) – 8y" + 24y" + 32y' + 16y = 0

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Q: Find the solution of with y(0) = 8 and y'(0) = 7. y = y" + 3y + 2y = 72e²t

A: 1f(D) eat = 1f(a)eat .

Q: Solve for x and y: x- 2y = 3 and 4x2 - 5xy = 3 - 6y

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Q: Solve:  2x + y − 3z = 0x − 4y + z = 04x + 16y + 4z =0

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Q: Find the general solution of y(5) – 2y" – y' = 0

A: The given differential equation y(5)-2y'''-y'=0

Q: Solve for x,y,z:  3x +2y − z = − 1  − 2x − 2y +3z = 5 5x +2y − z = 3

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Q: Solve the equation in the attached image:

A: Given,

Q: Solve the IVP: ry'- 2ry 10x2, y (0) = 1 Oy- 3e + 222 4 Oy = 6e #= 5z = 5 Oy=-e + 5x + 27 Oy= - 5z -…

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Q: find the general solution to y"+4y'+3y=3x *

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Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: Find the general solution of y^(3) + y'' + 3y' − 5y = 0

A: The objective is to find the general solution to the given differential equation

Q: Given that y(1) = 1 and y'(1) = −1, find the solution to x2y'' + 2xy' −2y = 2x2.

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Q: Solve for X, Y and Z:  5x − 4y +3z = − 4− 10x + 8y − 6z =8                                    15x −…

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Q: Solve by the addition method    x+2y+3z=-5 2x+y+z=1  x+y-z=8

A: To Determine:   Solve by the addition method

Q: Solve the IVP: y" + y' = 0 y(n) = 0, y'(1) = 2, y'"(n) = -1

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Q: Use the SUBSTITUTION METHOD to solve for y: x + 2y = 3 %3D X = 4y

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Q: Solve for X,Y and Z:  4x − 3y +2z = − 296x + 2y − z = − 16                                     − 8x…

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Q: SOLVE 2xyy' = 1 + y² w/ x = 2 and y = 3

A: Solve 2xyy'=1+y2 where x=2 , y=3   dydx=12xy+y22xy       = 12xy+y2xdydx-y2x=12xy-1

Q: y" – 2y' + 2y = 0.

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Q: Solve: (3- 2ry+3y")dr = 4rydy ㅇ (y + 3x)"(y-띠) = Cz3 %3D O (y + 3x)(y – 1)3 = Cr %3D ㅇ (y-3z)"(y +…

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Q: Solve for the particular solution, yp- y" - 6y' + 9y = 6x +2– 12e* y(1) = 0; y'(1) = -1

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Q: Find the general solution of y" + 6y' + 5y = 2e* + 10e5×

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Q: Solve for y: x = y2 - 1, y ≥ 0.

A: Given: x=y2-1, y≥0