9. y" + 2y'- 3y = 1 + xe*

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: (3y" + y' - 14)= 3*13e26x - 78

A: The given differential equation is  (3y" + y' - 14)= 3*13e26x - 78

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

A:

Q: '= -x+y - 8

A:

Q: ® Find ('-x"]* d x [itx"]?

A: The given integral is:

Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: 1. f4x-³ dx -3

A: Find the integral

Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: 5. x' = (1²3) × X 5

A:

Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: YA 7) 3 X+4 3 y>}x-1 2 432 -2 -1 -4 2 3 4 -2 -3 4 -5

A: The given inequality is: y≤-34x+4y>12x-1

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: x 3y'''- x 2y'' + 2xy' - 2y = x3

A:

Q: Explain what it means if a' . b = 0

A:

Q: y" – 25y = 0

A: Given: the given differential equation is y'''-25y'=0

Q: 11. X' -2 1 (-²¹) × X -5 4,

A:

Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

A:

Q: Convert y = (x– 3)' + 6 to standard format. %3D

A: The vertex form of a quadratic equation is y=a(x-h)2+k , where, (h,k) is the vertex. The standard…

Q: Solve y" + 4y – 2y = 2x² – 3x + 6..

A: The given differential equation is y''+4y'-2y=2x2-3x+6. The auxiliary equation of the corresponding…

Q: 6. x22x3 - 1 dx

A:

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: ²4 -64x y ||

A: Given, -64x9y243  = ?

Q: 12x5y'' + 8xy + 3y = 6x5 - x

A:

Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: 2. (81-x')

A: Consider the provided integral,∫x381-x22dx apply the trigonometric substitution,x=9sinθ then…

Q: Differentiate y = xe у'3

A: Apply product rule. (uv)'=u'v+uv'