Find ODE having the given function as its general solution. x = aet/1 + aet

Q: 3 (a) So 4√3x dx √3x-x² 2

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Q: f(t) cos atdt = e

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Q: The domain of the function f(x) = cos¯'( - 10) k is [A,121], Then A +k =.. Answer:

A: Since we have given that f x =cos-1 xk-10 and the domain of the given function is A, 121 To Find:…

Q: Which of the following pairs of functions below do not form a fundamental set of solutions to the…

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Q: If cost=- and t is in the 3nd quadrant, then sint = V80 8. V48 8. V48 4 o V48 8. O V48 4.

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Q: j Find the general solution of the following ODE by reduction of order. Given that y₁ = is a…

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Q: Solve the following ODE y + 2 y +y = X + ex (C1 + x C2) e* -2 + e2x / 9 .a (C1 + x C2) e* + (x -2) +…

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Q: 4t 3. Show that for any constants C1 and C2, the function x(t) = C1 e 3 -t + C2 e is a solution 2 to…

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Q: Compute the sedative of the given function g(t)=6(2sin t-6 cos t)^5 g(t)=

A: Compute the derivativetive of the given function  g(t)=6(2sin t-6 cos t)^5   g'(t)=

Q: Solve the following ODE Sx if 0 < x < 1 lo if b) + 2xy = f(x), y(0) = 2, where f(x) = dx x 2 1

A: solution of the given differential equation is given below...

Q: Given a function f(x,y,z) = (x+3) In (6y – 4) sin (10z). Find the range of the function. O a. […

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Q: Given a function f(x,y,z) = (x+6) In (2y - 9) sin (6z). Find the range of the function. o a.…

A: Please see the below picture for detailed solution.

Q: Given the function, x³ + 2.5x² + 0.75x + 2.20 Using regula falsi to find the x-intercept nearest…

A: The x-intercept of a function is the roots or zeros of the functions. Therefore, to find the…

Q: Given:P(E) = 0.45, P(F) = 0.53, and P(E ∪ F) = 0.67(i) Find P(E ∩ F)(ii) Find P(F | E)a) (i) 0.31…

A: Given Two events E and F, probability of P(E) =0.45 and probability of P(F) =0.53 andP(E U F)=…

Q: g(e) drde. f(e) by f(e) <rsg(0); asesb, is given by a

A: True

Q: Find a formula of the form  f(x) = Abx  using the given information. f(1) = 5, f(3) = 45.

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Q: I. Solve the following problems. af 1. Find af and of the function f(x, y) = arccot (-) + In ( ду…

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Q: Q5: Example. Let Rx {0, 4 2 4 * *} such that %3D Find E[sin(X)].

A: Given that RX=0,π4,π2,3π4,π To find: EsinX

Q: The function g(x) = T + 0.5 sin O has a fixed point on [0, t). Select one: True O False

A: False.

Q: Find the Wronksian of the given pair of functions.  e^(2t), e^(-(3t)/2)

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Q: Find dw for the following functions and dw e 2- X+ツ

A: This question can be solved using the concepts of partial derivatives.

Q: Consider the following. h(x) = e Find h '(x). h'(x) = Solve h'(x) = 0 for x. %3D Find h(0), h(-3),…

A: Given :           h(x)= ex2-9

Q: Find a formula for f(x) if k(x) = e" and f(k(x)) = 4 – 42e". %3D %3D f (x) = %3D

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Q: Solve the following ODE * (y sin x + xy cos x) dx + (x sin x+ 1) dy =0 1 Add file

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Q: 1 A = 1 1 1 -2 ||

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Q: (b) (sin 0)y"+ (0+ cos 0)y" 2tan@

A: Given: sin θy'''+θ+cos θy''=2 tan θ (a) The number of the highest derivative in a differential…

Q: a) Find the differntial dy: (x+7)/(x-7) b) Evaluate dy for the given values of x and dx: x = 6,  dx…

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Q: oblem 1: Find the den vat functions a) fx) > Cos (cin 3x) %3D

A: we have to find derivative

Q: Find a 1-parameter family of solutions of the following ODE (be as general possible): as (x + y²) dx…

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Q: Find the value(s) guaranteed by the Mean Value Theorem for the following function over the given…

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Q: Q2) Find the values of c1 and c2 so that the following function will satisfy the prescribed…

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Q: Considering the equation f(x) = x – cos(x), the approximate absolute relative error after performing…

A: Given : equation fx=x-cosx and initial guess [0,1] To find : absolute relative approximate error…

Q: The period of the function f(x) = 3sin(x -") is (a) 2n (c) 2n (d) 2 3 إختر أحد الخیارات (c) O (a) O…

A: Given equation is f(x)=3sinx-π4The general form is y=A sin(B(x+c))+DHere A is amplitudePeriod is…

Q: Find ODE having the given function as its general solution. y = ae^x + b ln(x) + cx + d

A: Given y=aex+blnx+cx+d

Q: (a) Let f(t) = eat cos bt. Find L{f(t)}. (b) Find CL f'(+)} uısing an appropriate formula without…

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Q: Categorize the following functions as either an " even " fuction or " odd " function of t. Provide…

A: To categorize whether the following functions are even or odd function. 1. t2-4t 2. sin2t+3t 3. t3+6…

Q: If f(t) = est + e-5t, find f'(t). Use exact values.

A: As we know that: The sum/difference rule: f±g'=f'±g' The chain rule:fgx'=f'gx·g'x Given: ft=e5t+e-5t

Q: The period of the function f(x) = and f(x) = f(x + 12) is a for 6<x < 12 O12 24 16

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Q: Find f"(7) given f(x) =- sin(z – 3x) our Answer:

A: Please see the below picture for detailed solution.

Q: el+x By using the definition In(1+x) = 1 -dt, show that for a certain range of values of r,…

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Q: Calculate f(t), if given F(s) the following is (s -a)² +b² (s - b)? (5). F(s) = In %3D

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Q: 7n Find the exact values of the six circular functions of 0 24

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Q: The range of the function [cos x] is .a [1,1-] .b {1,1-} .c (1,1-) .d {1,0,1-}

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Q: y' – 5y = 3e* 2х+ 1

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Q: Q 02: find the solution for f(x) given in the ODE by the method of undetermined coefficients. y' –…

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Q: (c) Solve for t in the formula above to obtain a formula expressing t as a function of V.

A: Given V = 12.5 - 1.7 t V - 12.5 = -1.7 t

Q: with equation Prove that the Nonhomogeneous First-order linear ODE y' +p(x) y =r(x) can be solved by…

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Q: Determine whether each function is even or odd  (d) y = cos x   is an ______ function (e) y = 2…

A: Determine whether each function is even or odd  (d) y = cos x is an ______ function (e) y = 2 cos x…

Q: ℗ Solve the following ODES by Inverse Operator method 2 (B²+1) y = cos x Ans & Y = C₁ C3 x + C₂ sinx…

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Q: Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure. a = 2…

A: f(x) = a cos x + dWe have to find a and d.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.