(D³ – D)y 3x %3D -3x2 а. Ур -3 2. b. Ур 3x2 +3 2. С. Ур -3x2 +2 3x2 d. yp 2. ||

Q: Vy - y 3 b) dy 2 y²

A:

Q: 1- y = -y² 2yt+1 2rv y(1) = -2

A:

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: тахz %3D 2x + у S.t х+у<60 2х + у 2 40 y < 30 х, у 2 0

A: Linear programing is a mathematical techniques to optimize solution of given constraints.

Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y” = 0.

A:

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: calculate d2y/dx2 when y=.4x-.3

A: Given function is y=4x-3. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the…

Q: 3x – 3y+ 4z = 6 4х - 5у+2z%3D10 x- 2y +3z = 4 =D4

A: Given the system of equation is  The matrix of form of system is

Q: rx dydx Vx2+y2 0.

A: We solve this double integration problem by substitution method as given below in solution

Q: 1. (D³ - 3D²D + 3)y = 0

A: To Solve: (D3-3D2-D+3)y=0.

Q: 1. (D³ + 3D² - 4D - 12)y = 0 2. - d'x 19+ 30 = 0 dt3 dt 3. (4D4 - 8D³ - 7D² + 11D + 6)y = 0

A: 1). From the given differential equation; D3+3D2-4D-12y=0 So, The auxiliary equation is:…

Q: y = x(2x+1), y" y = (4x − 3)¹/²2, d³ y dx³

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

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: f(x,y) = 40x+ + 72x³y+ 85XU fur eblidl w jall dissui %3D -226x2 A O -226 BO 216x2 CO

A: To find fyx = ?   Given : f(x,y) = 40x4 + 72x3y + 85x

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: V 96x-x² 48 9Vx2+y2 dydx =

A: Refer to the figure shown below:

Q: · (D² + 3D + 2)y = xsin 2x

A:

Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: 3. Z[ynd = 3z²-Z 212-18 %3D

A: In this question, we have to solve the given Z equation. Here we take inverse Z-transform for the…

Q: 2. y"+ 4y 4 sec2x

A: @

Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: B. Non- homogeneous Higher Ordered LDE 2 1.D +50² + 8D -9) y - 69x²e-*

A:

Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

A:

Q: у" + Зу" + Зуy' + у %3D 30 е -х

A:

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 -

A:

Q: dz (D2 + 16) (D² + 4D – 5) (D² + 2D - 3)*z = 0, Dz = dr

A:

Q: d²y 15. If y3 — ху %3D 5, then dx² 2ху - 2ху А. (Зу2-х)3 В. (Зу2-х)3 5 2ху С. (3y²-x)² D. (Зу2-2х)3…

A: Given, y3-xy =5  We have to find d2ydx2

Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2

A:

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

A:

Q: [2x + 4y – 5z = -8 x + 5y + 2z = -1 (3х + Зу + 3z %3D 15 17)

A:

Q: 1. (4D5 - 8D4 – 17D3 + 12D² +9D)y = 0 2. (D® – D°)y = 0 3. (D3-D2 - 4D – 2) y = 0

A:

Q: Solve the system of linear equations.

A: Solve as matrix equation AX=b

Q: Suz z², Y > x², y + 2x – 3 < 0

A: The given system of the inequalities is: y≥x2,y+2x-3&lt;0   The equation y=x2 represents the…

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: [y(8y² -5)dy 4y* -5y? +5 1.

A: We can find the answer as below

Q: 4. (D3 – 4D² + 4D)y = 0 5. (2D4 – 3D3 – 2D²)y = 0 - -

A: (4). The given differential equation is: D3-4D2+4Dy=0 So, the auxiliary equation is: m3-4m2+4m=0

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

A:

Q: (x²-2y+xz) dydzdx= -2°1

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

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

A:

Q: Solve the system.Use matrices

A:

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

A: It is the linear equation of first order.

Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

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-

A:

Q: 2x - 4y = 6 %3D x+ y+z= 1 5y + 7z = 10

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

A:

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…

Q: dx Vx²-4x-7 7. dy y2-8y+5

A: