3x – y = 12 (x-1)² + y² = 4

Q: y2-16y +28=

A: Topic:- algebra

Q: 1- y = -y² 2yt+1 2rv y(1) = -2

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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: 1-r-y C * (r* + y° +:')}dzdydx 14

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Q: 3x2 +- 8(y + 1) = 0 dy y+1 C 3(: 100 - designed by freepik 24C X=Yi+(x20)

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Q: 2x + y-z 9 15. -x+6y+2z =-17 %3D 5x +7y+z = 4

A: soln:-consider,the system of equationAx=b, where A is invertible.Then, x=A-1bhere,…

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

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Q: 3x2 +- 8(y + 1) = 0 dy y+1

A: Comparing the given equation with the equation Mdx+Ndy=0, we have M=3x2 and N=x3y+1-8y+1 Now we…

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: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

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Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: Find y" of x+9y2-36 16 A 9y (B 4x 9y D 4x

A: Solution...

Q: X+y+2z=9 2x +Hy-32=1 3x +6y-52=0

A: Total Equations are 3x+y+2z=9------(1)2x+4y-3z=1------(2)3x+6y-5z=0-------(3)

Q: )(x-y) dy: 2ydx, when x 4, y=4

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

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

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Q: 70. 4y" +5y' - 2y = e²+xsinx

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Q: y²-6x²y=-9x ; y' at (1,3)

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Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

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Q: (D²-3D-2)y = 0 Find y when x = In 2 when x=0, y'= 9, Y=0, y=0 4.

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Q: 8x – 5y = 21 -x+ y= 0

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Q: y" - 2y' + y = 4e-t + 2et, where y(0) = -1, y'(0) = 2

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Q: 3x' - y = 2t; x' + y' - y = 0; x(0) = y(0) = 0

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Q: * (D-2y'y(x) -0 d Ja -1

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Q: 6. y = V2x – 3x . Find y'" -

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Q: Solve the system.

A: Given: 2x+y=2x+y-z=43x+2y+z=0 To Solve: Given system of linear equations.

Q: 5. x + y 10x + 8y + 16 = 0 %3D -

A: Consider the following equation of curve:…

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: y"- 5y + 4y ez.

A: Use second order ordinary differential equation rules

Q: a.) = y° (4 – y²) - b.) y' = y In(y+ 2) %3D c.) = (ye" – 9y)/e" -

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Q: y - 3y = 8(t - 2), y(0) = 0 %3D

A: We have to solve the given ode using laplace transform.

Q: y"-2y'+y = e* Inxr

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

Q: v x +y = 2xy + 4x; at x = 1 and y = 3

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 19 -e 8x + · -2x y = c¡e¬* + c2e¯ xe8x %3D 8100 90

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Q: [y(8y² -5)dy 4y* -5y? +5 1.

A: We can find the answer as below

Q: y = In(x² + 4)

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Q: 2х — 7у — 9z %3D-16. y +s +t

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Q: ydx + 2(y4-x)dy=0

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Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

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Q: Solve the system.Use matrices

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Q: d. xy' – y – 5xª – 3x² + 2x = 0 when x = 1 and y = 2 -

A: It is the linear equation of first order.

Q: yA x= y² – 4y (-3, 3) X x = 2y – y?

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Q: 3. Find y" y = vx² – 4 -

A: Given query is to find the derivative of the expression.

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

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Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: 1) ys-x- 2 y2-5x + 2

A: Since you have posted multiple questions so according to our guideline we will solve the first…

Q: y'- 4y + 4y = x(2e²× + xsinx)

A: The given differential equation is                    y''-4y'+4y=x(2e2x+xsinx) ⋯⋯⋯ i The…

Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Q: 5. (2xy² – 1)* – 3x²y³ – 1 = 0, find y' -

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Q: - 3 Find y' for y = 2x- 2x-1. y' =D %3D

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