Consider the system Find a particular solution of the form 1(t) = help (formulas) 22(t) = help (formulas) [] = cos(2t) [x2(t)]

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: Solve y (f) + 4y(t) = sin(t) – sin(t – 27)H(t– 27); y(0) = y (0) = 0 %3D

A: To find: Solve the given differential equation.

Q: Find f(x).

A: Given,

Q: The auxiliary equation of  of  y'''-4y''-4y'+16y=0  is r^(3)-4r^(2)-4r+16=0  . The auxiliary…

A: Given that fr=r3-4r2-4r+16, r∈3,6

Q: The general solution of y' x2 can be written in the form

A:

Q: tan x/4 + V3 = 0 Solve graphically in [-27, 2n] %3D

A: We have given that, tanx4+3=0;   -2π≤x≤2π Let us consider that, y=tanx4            ⋯⋯1y=-3…

Q: T 10+ f¹(2 cos²x-cosx-1)=8, f(-2)=0, x= 0, 2 Solve for X.

A:

Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: f(x) = 3x cos ƒ'(x). -1 (2x + 4) − √√/19 − 3x², find

A: Given: fx=3xcos-12x+4-19-3x2. To Find: f'x.

Q: What are the solutions of the equation 2sin(4x)=1 on the interval [0,n)?

A:

Q: where y1 = e* is one of the functions in the fundamental solution set. - %3D xy" + (2-2x)y' +(x- 2)y…

A:

Q: Find f if f"(x) = 2+ cos(x), f(0) = 2, f(t/2) = -2.

A:

Q: Find general solution 2 1 a' = |-1 0 1 1 1 0

A:

Q: Find the general solution of (x+ 1)² -2(x+1) 9-(x²+2x-1) y = (x+1)² e*, y₁ = (x + 1)e is a solution…

A:

Q: If f(x) = 2x cos ¹(x + 1) - √12-3x², find f'(x).

A: Introduction: Here use the derivative rules to solve the question.(1) Chain rule: (2) Power rule:

Q: S(x) = 2x" + 4x + 2x + 1 g(x) = (x + 1) Find (fg)(- 1)

A: Given  f(x) = 2x3+4x2+2x+1 g(x) = (x+1)   We have to find (fg)(-1).

Q: Y''+4y=cosx find solution

A: We have to find the solution of the differential equation y''+4y=cosx. Consider the homogeneous part…

Q: Find f if f"(x) = 2 + cos(x), f(0) = -9, f(pi/2)=9 f(x) =

A: Solution of given question is followed by:

Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

A:

Q: -1 -1 3. Find a particular solution of x' = -2 2 x+ 4 -1 -2 et

A:

Q: 5. Given: f (x) = ax³ – 9x² + 2x – 4 and g(x) = bx³ – 5x² + 62x + 70 | Solve for all values of a and…

A: We have to find

Q: Y(6) = cot(5s)- 3 tan s - csc (5s)- 3 sec' s s:y (s) |

A:

Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

A:

Q: Find the values of a, b, c, and d when f(x) = ax3 + bx2 + cx + d and the following conditions are…

A:

Q: A virus is believed to be spreading through a sheep farm according to that equation N = 450 (11 +…

A:

Q: If u(x) = x3, then du = 3x2.

A:

Q: Solve cos(2x) + cos(x) = -1

A:

Q: y=(b+x²)* +(1+x³)*(/3x² +x – c)cos²(4x) y' =?

A:

Q: cos (x) J = g(x): x2

A: