(х + 3)3 y = (x² – 9) у-3x+1

Q: y - 4z = O X + y -4z = 0

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Q: 1- y = -y² 2yt+1 2rv y(1) = -2

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Q: r of (x + y3)

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Q: Find the particular solution for: 3x²y' 5x - 6xy, x 2 when y = 1 %3D

A: This is linear differential equation. We solve it by finding integrating factor.

Q: x - 4y – z = 11 3. 2x – 5y + 2z = 39 -3x + 2y + z = 1

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Q: x-3y + 2z = 18 5x - 15y + 10z = 18 O No solution

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Q: y= (2xy + 3x2)ē+ (x² – 2yz + 2y)ē, – (e² + y²)e,

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Q: -2xy 3) y' = iy = -5 when x = 2 Ans: exact; x²y + y = -25

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Q: Solve the system of linear equations.

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Q: x + 2y – z = -6 у — 32 %3D — 16 (x – 3y + 2z = 19. y 14

A: 19). Given equations are: x+2y-z=-6                         ⋯1y-3z=-16…

Q: 7. x+y (2r +2y-x)' at (0, %) -4 at (-3y3. 1) 8.

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

Q: 4х + у + 3z 3 17 x+ 5у +z%3D 14 2х - у + 8z %3D 12

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Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: Write the system of equations as a matrix equation.

A: Given, x-y+z=24x-2y-z=2x+y+5z=2-x-y-z=2

Q: 4x + 4y + Z = 16 5x - 3y -27 5x +y+ 2z - 31 %3D N.

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Q: 2. у"- Зу'+ 2у-е" when y(0)%3D1 аnd y'(0) —0 3t

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Q: Yn - 7yn-1+ 10 yn-2 0 with y-1 = 16 and y-2 = 5. %3D

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Q: 9-x2 18-22-y2 (x2 + y² + z²) dz dy da? 3 0. x²+y2

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Q: 70. 4y" +5y' - 2y = e²+xsinx

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Q: Solve using matrices:

A: Consider the provided equation, 2x-y-2z=-1x-2y-z=1x+y+z=1 Solve the provided matrix by using matrix.…

Q: y²-6x²y=-9x ; y' at (1,3)

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Q: x-7y+4z 14.7 %3D -x-0.9y-4z = 19.5 x+2y+5z 11.5

A: The given equation x-7y+4z=14.7 -x-0.9y-4z=19.5 x+2y+5z=11.5 Write the above equation in matrix form…

Q: V4-x2 i * " 4-x2-y2 Jx²+y² ydzaydx 1-

A: As the limit of the integration of y and z are function of x and x,y respectively. So to find the…

Q: Use Cramer’s Rule to solve the system.

A: Consider the given system of equations. D=1-12231-1-13 D=133-1-1-(-1)23-1-1+22-1-3-1D=110+17+21D=19…

Q: ² x²-y2 2 X-Xy -y

A: Given function is:…

Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

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Q: -x+y+2z = -3 3x- y+z = -2 2х- Зу- 42 %3D 1 X = y =

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Q: 3 x - 4 Vx - 2 y = y = -

A: Two functions are given. Both of these functions are single variable functions. We have to draw the…

Q: 2(x-1) If y = Vx² – 2x then y' 3x2-2x

A: For the first part, we differentiate the given function y with respect to 'x' and use change rule of…

Q: 2 y + = = -8, x – 2y – 3: = 0, х - - 3 : -х+у+2:%3D3.

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Q: C2 (2+/4-x2-y2 (x² + y² + z²)/² dz dy d /4-x² J2- 4-x²-y2

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Q: [x, y]²=[-1,0]=-1

A: We have [x,y]^2=[-1,0]=-1

Q: Solve the system.

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Q: I-y+z=1 2x + 2= 2

A: The system of equations are : x-y+z=12x+z=23x+y-3z=3 Apply the cramer's rule in the system of…

Q: Solve the system of linear equations.

A: Solve as matrix equation AX=b

Q: y = In(x² + 4)

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Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Solve the system of linear equations.

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Q: (x²-2y+xz) dydzdx= -2°1

A: Given        ∫03∫-21∫12(x2-2y+xz)dydzdx=

Q: y =-x2 +5 8. x² + 5 Oy = 8 Oy = x² - 5 8. Oy = x² - 5 8.

A: Given query is to find the equation of the parabola.

Q: What is diffential equation of y"-5y'+4 when y(0)=1 and y'(0)=1

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Q: Solve the system.Use matrices

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Q: 3x – y + z = -1, -x+ 3y – z = 7, I – y + 3z = -7.

A: Given: 3x-y+z=-1-x+3y-z=7x-y+3z=-7

Q: Q2 Ci+x)y =ソ-1 Y(0)=0 →yー1-e

A: To solve the given equation.

Q: 1. V2 3y 8-x2-y2 رار 0 0 x2+3y2 dzdxdy

A: We have to evaluate the integral.     According to our guidelines we can solve only one question so…

Q: Use Cramer's Rule to solve the system.

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Q: x - 1 = λχ y = 2 = λy z = -λz (x² + y² = z² = 0,

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Q: 2r + y – 2z = 12 47. {-x – y + z = -6 3x + y – 3z = 18 %3D

A: Problem 47: Dependent equation is said to be dependent when the system of consistent has many number…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.