The general solution of y" +4y" +5y'+2y 0 is (a) Ae-2* +(B+ Cx)e¯* Ae* +(B+Cx)e2* -2x (b) (c) Ae 2* +(B+ C)xe* (A+ Bx)e* +(C+ Dx)e²2r -2x (d)

Q: Let P(x) be the statement "x spends more than five hours every weekday in class," where the domain…

A: Given that P(x) : x spends more than five hours every weekday in class. (a) ∃xP(x) This can be…

Q: Evaluate L-1{ -(-e¯™s+4T8+ 2+1

A:

Q: 6 Solve for X 3.6.1 2x-17 = 83 3.6.2 5(x+1)= 2(x+7) 3.6.3 4(x+2) = 16+ 2(x-1)

A: as per bartleby guidelines i can solve only first three

Q: Lim (x-2x) X>-1

A: Limit of a function at a point is the value the function tends to as we approach that point. Limit…

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: ƒ(5x² + 4x³ − 2x + 1)dx 이름 +2 -를 +a + C 5 2 O x5 x5 + x²-x²+x+C O 20x5 + A O 20x³ + 12x² −2+ C…

A: Given, ∫(5x4+4x3-2x+1)dx

Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

A:

Q: (D³+D²-50 +3)y=e ર -3x

A:

Q: ifferentiate. 12) y = (x2 - 2x + 8) ex A) (x² + 4x + 6) ex C) (x²+6) ex 1 [ 2 ² + x + 1] x B) ex 3…

A: Given query is to find the derivative.

Q: 50 50 ["*" (ax² + hx² + cx) dx = 2b ["* x² dx -50 0 (A) True (B) False

A: As we know that; The Sum Rule; ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx  where a is constant.   We…

Q: (x²-x) y¹ = (x²+1) y + 12x (x²-1) ³ y' when x = 2, Y = 9

A: Given differential equation is  x3-x y' = x2+1 y  + 12 x x2-13                      ⇒      x3-x…

Q: ((x-1/4y-1)-3)/ (x5/4y0)

A:

Q: (√3-3)/6 - (√3+3) /6 12 dx 2 1+ (2x + 1)²

A:

Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: 9. dr (2-r)Vr2-4x +3

A: ∫6(2-x)(x2-4x+3)dxApply linearity=-6∫1(x-2)(x2-4x+3)dxSubstitute…

Q: (12x-4)dx (3x+1)³(2x-2) 3

A: We have to find out the integration.

Q: Expand and simplify. (a) 4(x + 3) + 5(2x - 1) (b) (x + 3)(x- 5) (c) (2x – 1)(3x + 2) (d) (a – 2b)(a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: /Solve the following: ( ) 1 a) L-1 s(s²+a) 18z² (2 z-1)(4 z+1) b) Z¹

A:

Q: Integrate (2x + 5)(2² + 5x)² dr Select one: O A. (²+5x) + C OB. (2²+5x) + C OC. (x² + 5x) + C OD.…

A:

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: xp L(1+x*)* 8.

A: To evaluate: The integral  ∫-∞∞ x21+x22 dx

Q: 3x465x³ + 4000x²512x-6= 0; [0,1]

A:

Q: 1/6a+1/4=1/2a-3/4

A: 16a+14=12a-34

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: 2x-x xp - (r-1)° (x²+1) -0-

A: Given ∫-∞0 2x-x3x-12x2+1 dx                         =-∫-∞0x3-2xx-12x2+1dx…

Q: solve for x (x-4)2 =2x2-9x-14 If there is more than one answer, septerate with commons

A:

Q: (c): Solve 4(2) 2-2x 9(2)2x -x-10+10

A:

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: #5 Compute the equilibrium values for each of the given DDS algebraically and graphically. a) x =…

A:

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx

Q: QUESTION 1 A group of researchers conduct a study about frost penetration in country X and come out…

A:

Q: 12. Solve for all 9, 0≤0≤27 Find exact values where possible. √√3 a) √2 cos 0+1=0 b) sin(20)=1 c) 2…

A: 12. (a) Given,                      2cosθ+1=0.

Q: xy 2y + +1

A:

Q: 97. (x+y); x² + y²

A: To find the MCM.x+y2; x2+y2

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.