(4D4 - 4D³ - 23D² + 12D + 36)y = 0

Q: 3. (D3-2D2+D-2) y=0 4. (4D3+28D²+61D+37) y=0

A:

Q: Determine  d2y dx2 for y = (4x3 + 8)4.

A:

Q: 2) (D² +6D+91)y= 16e-3x x² +1

A:

Q: Find d2y/dx2.  y = 2x2 + 1

A: Let function f(x) be y = 2x2 + 1                        To find :  d2ydx2…

Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: Find dy 2x-3y=8 2 if dx2

A:

Q: Find d2y/dx2 if 2x3-3y2=8

A:

Q: -5r2 -2r3 +4r5 -2r6 %3D -#4 +5xs +5xg = -522 -8rs +4r6 = 22 +s +t tu 240

A:

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: 1. (D³ - 3D²D + 3)y = 0

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

Q: 7. (D² - 2D + 2)y = 0 8. (D² + 9)y = 5e* - 162x 9. (D² + 9)y = 5e% - 162x?

A:

Q: 1. (D² -5D³)y = 4 2. (D³ – 5D* + 7D³ +D² -8D+4)y = 0

A:

Q: [D³ 6D² + 11 D - 6) y = tanx -

A: Sol:- Original Differential Equation can be re-written as :- y''' -6y'' +11y' -6y=tanxThe general…

Q: (Dª + 3D³ – 6D² – 28D – 24)y = 0 -

A:

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: d'y d³y - dx5 dx3 = 24.

A: Solution :-

Q: 2x + y- 2z= -7 + 5z = 10 X- 2y- z= - 11 (-5,5,6, - 3) (1,-5,-7,-2) (5 - 54 - 2)

A:

Q: -3z = 1 2x+ 2y+ z = 22 3x + y-2z 20

A:

Q: (D6 + 6D4 + 12D² + 8)y = 0 %3D

A: Given,…

Q: What is the y' of y=3

A:

Q: (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + ₂x³x + C5x²e³x

A:

Q: Find dx2 7x y = - - 5x 4

A:

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: d2y/dx2, where y = 4x3/2

A: Given- y=4x32 To Find- d2ydx2 Identity Used- The power rule of derivative ddxxn=nxn-1

Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: (D³ - 3D2 + 9D + 13)y = 0

A:

Q: d2/dt2 (t3 + 2t2 - t)

A:

Q: (D²+4D+5)y=35e : y(0)--3, y'(0)-1

A:

Q: (D³ – 3D + 2)y = -7 у" - 9y' %3D 27

A: (1).    The given differential equation is: D3-3D+2y=-7

Q: Find d2y/dx2 if 2x3 - 3y2 = 8

A: Given:

Q: 2x + yーz = -7 3x-y+2z x+ 2y + 3z 18 ニ 13 三

A:

Q: Find d3y If y= W3-2x dx3

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Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

A:

Q: 2x-y-32=26 3X+ t6zこ4 X +2y+92=-16

A: Solution :- We found  one independent variable in the given system of equations  The whole procedure…

Q: 5. (D4 + 2D3 + 10D²)y = 0

A:

Q: 2x + 글y=D2 %3D

A: Given,          The equation is 2x+12y=-2.

Q: d4y Q4\ b) Find : Y=3X³-4X²+7X+10 dx4

A: Given: Y=3x3-4x2+7x+10

Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

A:

Q: x-4y=5 and y=Bx+24

A: Given:

Q: (D6 – 3D5 + 3Dª – D³)y = 12

A:

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

A:

Q: (D² – 3D – 4)y = 30e4* -

A:

Q: y 21 5 6 -2 -1 %3D1 -D2 3, (N

A:

Q: d*y d³y - 4· dx3 +7 d²y 14 dx4 dx2

A:

Q: b) Show that Δ2y0 = y2-2y1 + y0.

A: We have to show that Δ2y0 = y2-2y1 + y0.

Q: Homogeneous (4D4- 4D3- 23D2+ 12D + 36)y = 0

A:

Q: (D³ – 3D² + 4) y = 0

A:

Q: (2D* + D3-4D2 - 10D - 4)y = 0

A:

Q: 3. (D3 - 4D2 + 7D)y = - 11

A:

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x %3|

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.