(D + 3D + 2)y = xsin 2x

Q: Vy - y 3 b) dy 2 y²

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Q: 1- y = -y² 2yt+1 2rv y(1) = -2

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Q: 2) (D² + 2D + 1) y = [exp(x) - 1]-2 %3D

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Q: D'y- 4. (4D - 4D³ - 23D2 + 12D +36)y = 0 5. (D° + 3D² + 3D + 2)y = 0 Dy +y = 0

A: The given differential equation is: (4D4-4D3-23D2+12D+36)y=0 The auxiliary equation is:…

Q: 4-у2 r2x+y dzdædy -V4-y2 Jo

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Q: Solve for y: (D^3 - 3D^2 + 3D - 1)y=0

A: The solution are next step is

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: 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: a. y = x* – 3x² + 2 at a point (1,0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

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Q: 1) y = Vx -1

A: According to our guidelines we are suppose to do only one question . Kindly repost other question as…

Q: x – 5y = -4x - 2y %3D II at x -3.

A: Simplification of the equation helps to find the required function value. Substitution of the point…

Q: y²-6x²y=-9x ; y' at (1,3)

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Q: Find dy. y = 8x° - 7x - 3 5 dy =

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Q: y= 2x3-14x2 +9x+7 dy %3D dx

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

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Q: 14. (D - 3D² - 6D + 8) y 3.x = xe

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Q: y" + 9y = sec 3x %3D

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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: (3x + y5)dy – ydx = 0 %3D -

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Q: 1.y" + у %3D Зе2x

A: We have to solve the characteristic equation first.

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

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Q: 3x2 − 2y2 + 18x + 8y + 13 = 0 directrix:

A: Given equation is 3x2-2y2+18x+8y+13=0. Given equation can  be written as:…

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: (a) x-z = 1 =D1 2х +у - z 3 3 x+y = 2 3D2

A: a) Given:         x-z=1       2x+y-z=3      x+y=2 Converting into matrix form.      10-121-1110…

Q: z2 – x² – y2 = 1 %3D -

A: We have to sketch the hyperboloid.

Q: z = = 9x°y° dz = %3D

A: Given that z=9x8y6To find :  dz Solution…

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: (бх - Зу +2)dk - (2xх - у -1) dy 3D0 |

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Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: 3. 4x° = 3y^-x'y² .find y" %3D

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Q: Solve the system.

A: 2x+y=6 .......(1)x-3y=17 .........(2)3x+2y=7............(3)Multiply equation 1 by 3. We get,6x+3y=18…

Q: 3. (D² – 3D + 2) y = 2x³ – 9x² + 6x

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Q: (x²-2y+xz) dydzdx= -2°1

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

Q: (х-4y-9) dx +(4x +у-2) dy %3D0

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Q: Q5: 6y²dx-x(2x² + y)dy == 0 (Linear BernoullLeq.)

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Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.

Q: y''- 2y"=cosh(2x).

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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: COs 2 dydx (4) LL. r1 1 dydx x4 + y²

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Q: 3. Find y" y = vx² – 4 -

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

Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

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Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: Solve the system

A: x-2y+3z=4.......(1)2x+y-4z=3.......(2)-3x+4y-z=-2.......(3)

Q: y'- 4y + 4y = x(2e²× + xsinx)

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

Q: 1.у %3D 5e2x 2. y = ex²+2x-1

A: The variable y' represents the derivative of the function. Differentiation of the function helps to…