Find f(t). 5s - 1 L-1 s²(s + 1)3] f(t) = h -3e-t2 – 7e-t – t- 8et+ 8

Q: у" - 5y" 2y' + 24y = x + e-2x

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Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: 4 + 8z is The antiderivative of the function f(x) -4 4.0z +c 4. + 4.0z2 + c 4 | 4.0z? + c 8 + 2.0r2…

A: Using anti derivatives means integration.

Q: 18r1 + 9x2 + 6x3 subject to Maximize f I1 + 13 0, r3 0 If no solutions exist enter DNE in all…

A: For convenience we take f=Z.

Q: (c) T =1-2+2-3+3-4+4.5+...+1000-1001 100 (d) U=Ef(k), where f(x)=6x² +9 %3D k=1

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question.…

Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: "-y'-12y=x * O y= C1(e^4t) + C2(e^3t) + (t)/12 + 1/144 O y= C1(e^4x) + C2(e^-3x) + (-x)/12 + 1/144…

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Q: 4. Is y = 5e-+7x e-2 a solution to the ODE y"+4y'+ 4y = 0 ?

A: The given solution is  y = 5e-x +7x.e-2x To verify it we will differentiate it

Q: (a) First find the general solution of y" – 5y + 6y = 2e* (3) by using the Undetermined Coefficient…

A: Introduction: A higher-order linear non-homogeneous differential equation has two solutions. One is…

Q: 3. Is the function y = Cx² a solution to the ODE y" – xy' + y = 0?

A: Solution is given as below:

Q: Max z = x1 + x2 s.t. 2x1 + x2 ≤ 20 x1 +3x2 ≤ 15 x2 ≤ 4 x1, x2 ≥ 0

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Q: Q1. Find the maximum and minimum values of f? (Using Graphical Method) f = 10x + 28y Subjected to:…

A: Consider the given function. fx,y=10x+28y And, the subject is defined as, 5x+5y≤1502y-5x≤2y-10≤7…

Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: (xD +2) (xD-1) *D (xD) xD + 2 x D -2 (x D² +D) - ×D +2x D-2 x'D? t x D - xD t 2xD -2 x2 D2 + 2xD - 2…

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: Find all critical points of the function:  f (t) = 8t3 − t2

A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. A critical…

Q: Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: (8 - 1)e-2s S. F(s) = s2 – 2s + 2

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Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…

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Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

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Q: * 2.2 2x-1 + If y = Vx² – x then y' 3x2-x T O FO

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Find f(t). f(t) = 6e9r { 14 +54 +e⁹t 6s (s - 9)²) X

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Q: T (k+m+1) k! I' (m-k+1) \x+1, P² (x) = m k/2 X ₂F₁ 2F₁ ( -m, m+1; k+1; +¹; 1 - - - 2 ) 2

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Q: 8. f (x) = x² – 6 , Po = 3 and p1 2 then by secant method p2 is

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Q: I'm studying for a precalculus exam and I want help on this problem because I am stuck.

A: Given that,

Q: Find the particular solution determined by the initial condition. P(X) = 2x ° = 3x )= -6 2/5 - 3x:…

A: This belong to initial value problem of differential equation.first we solve the differential…

Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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Q: 4. Obtain the general solution (D + D - 9D - Dy = 6e - X 3x + 3xe

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Q: V1-x2 3. Evaluate S S /1-x²-y² dxdydz V1-x2-y2-z2

A: We will solve the following.

Q: Find the particular solution determined by the initial condition. f'(x) = rx) = 2x2/5 - 3x, f(1) =…

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Q: O': Find the general yy' – 2y² = e²

A: A first order Bernoulli ordinary differential equation is of the form dydx+pxy=qxyn Where p(x) and…

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

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Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

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Q: Suppose that y (t) =4 t e + B is a solution to y"-3y'-4y =-5e-4, where {A, B, a} are constant…

A: The given differential equation is  y'''-3y'-4y=-5e-t-4 and the given solution is particular…

Q: is the minimnurm step of the horno gone ous n What X+ xt 2-X ifferential equatian with its solution…

A: The objective is to find y=x2e-x+x3+x2what is the minimum step of the homogenous differential…

Q: According to a study conducted in 2003, the total number of U.S. jobs (in millions) that are…

A: Given Plugging t=5, Therefore the projected number of outsourced jobs for 2005 (t = 5) is 80…

Q: 2) For over 20 years, the population of Tressel, Ohio has been increasing linearly according tothe…

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Q: 2 c2x-4 ( dydx 2у - 1) Q2. Evaluate the double integral x + 1

A: In this question we have to find the double integration.

Q: f(z) = 3z + 8z² - 72 - 4 g(z) = 27 – 6 Find (f- g)(x). O A. (f - g)(x) = 3r + 8z2 – 5x – 10 O B. (f…

A: Simply substrate algebraically the similar terms only.

Q: 3x The y, of y''-6y'+9y = by using variation of parameters is: .A Y,(x) = -In(x). e 3x 3x -e |

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Q: 190.19 b.) 6Xi t 15X2-24 y3 f 40x4 > 69.8 ¥3 15X, + 9x2 -13 V3 -24Y1 参3X t18 y3- 1 Xy = -163 " xy=…

A: Here we use a = x1 b = x2 c = x3 d = x4

Q: In each of Problems 27 through 32, solve the initial valueproblem.

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Q: Find the general solution of the ODE. y" + 4y' + 4y = x-?e-2* on (0, 0)

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Q: 2.2 nd, from first principles, fa(3, –1) for f(x, y) = 4x²y² + e®. |

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Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

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Q: (b) f"(t)-4f'(t) + 4f(t) = u(t) - u(t - 2) where f'(0) = f(0) =

A: Some of the formula of Laplace transformation…

Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

A: The given minimize problem is C=s+2t subject to constraints, 4s+t≥2702s+t≥190s+3t≥330s≥0, t≥0   Then…

Q: Find a³f əyəx² a³f dy əx² O a³f əy əx² O a³f dy əx² O a³f əyəx² for f(x, y) = exy =2rety + exy +…

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Q: If f(x, y) = -x³ + y - 4xy - 7x2 - 6y, then in the process of obtaining its critical points we…

A: Critical points

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.