Find the rectangular equation

Q: 2x y'' – 3y' – 10y = 7e y(0) = 1, y'(0) = - 17 - %3D %3D

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Q: 3. Let F(n) = 9F(n – 1) – 24F(n – 2) + 20F(n – 3) with initial conditions F(0) = 1, F(1) = 5 and…

A: To solve this problem we follow the step below :  Characteristic equation method :  Find…

Q: 2/3x1 - 1/4x2 + 5/8x3 = 0   1/5x1 + 2/3x2 - 1/4x3 = -7   -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…

Q: For x, y, z, w > 0, prove that (x/z)+(y/z)+(z/w)+(w/x)≥4

A: It should by x/y, instead of x/z

Q: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: Evaluate f (x) = 300z 1+e from 0 to 10 using 6- segment Simpson's % rule. If the true value is…

A: Given f(x) = 300x1 + ex

Q: x²–y² onsider the function f (x,y)=| Which ONE of the following statements x²+y², TRUE? DA. (х.у) —…

A: We have to find the limit at point (0,0).

Q: 2. Graph the function f(x) = Identify asymptotes and holes in the x2 – 4x +3 graph.

A: If f(x)=p(x)q(x) is a rational function, then (a) f is not defined at the roots of q(x). (b) f has…

Q: Find the Laplace Transform of (t2 +4t + 2)et

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Q: 1,2, ..., let A; = {i,i + 1, i + 2, …. }. Find ỦA. For i i) ii) N A, i=1 i=1

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Q: expansion of valid in )(z-2) ient of is

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Q: Solve the system of inear equations, using the Gauss-Jordan eliination method. (Ir there is no…

A: We have to solve the given system.

Q: Find the solution. y" - 2y'- 2y = 0

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Q: QUESTION 1 Given a differential equation (3+x²) + 2.xy= (3 +x² )x² dx (а) Solve the differential…

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Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: Consider the IVP: x" + x = 4e ; x(0) = 1, x'(0) = 3. Find the general solution. A x(t) = 2e'+cost –…

A: Given differential equation is x'' + x = 4et ; x(0) = 1, x'(0) = 3

Q: 3. Determination of integrating factors: 2y(x+ y+ 2)dx + (y -x -4x-1y = 0

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Q: Prove the following using the mathematical induction Let c and d be integers. For every natural…

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Q: .Use the Monotone Convergence Theorem to show that the (2n)! {a)" is convergent.

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Q: Solve 2y" + (x + 1)y' + 3y = 0 by means of a power series about xo = 2. Find the recurrence…

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Q: sed betv la y = x² 2

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Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

Q: Find: 8 cos/1+x dx . V1+x

A: Given integral is ∫08cos1+x1+xdx. We have to solve the given integral. Substitute 1+x=u…

Q: 7 Find the stationary point on the curve e + ye = 2e'. %3D

A: In the given question, the concept of the stationary point is applied. Stationary Point The critical…

Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers Chocolate…

A: To solve this problem first we find the amount of Graham crackers that to be needed to make 1 s'…

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

A: We will standardize the given equation and then find its general expression to identify type of…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: A vector-valued function is of the form rt=fti+gtj+htk, where t is the parameter and the…

Q: Consider the following bags each containing three marbles with colors white (W), black (K), yellow…

A: Study the table and look for the bag that contains exactly 1 Y.

Q: Find the Taylor polynomials po, P1, P2 and P3 for f(x) = Inx at x = 1. Use a graphing utility to…

A: Answer :-

Q: (b) How to remove subtractive cancellation from the expression below: /20000. 0001 – V20000. 0000

A: Given expression is 20000.0001-20000.0000   Subtraction of two numbers of similar magnitude gives…

Q: Solve the given system of linear equations using the Elimination Method. 4.)     2x1 + 7x2 + 15x3 =…

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Q: 16. a(1) = t i + e'j+ e¯'k, v(0) = k, r(0) = j + k

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Q: The steel beam of uniform T-section shown in Figure Q3(b) is simply supported over a length of 2.5 m…

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Q: Consider the following IVP: /" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 %3D Find the general solution. 5…

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Q: and y=0 (roune

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Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = - 400 sin(2t) Y(t)…

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Q: a Write down the derivative of arcsinx. b Use integration by parts to find | arcsinx d.x.

A: a. Derivative of arcsin(x) is given by ddx(arcsin(x)) = ddx(sin-1(x)) = 11 - x2

Q: 5 Given the function f (x.y)%3D which ONE of the following statements is CORRECT? Af is only def…

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Q: Find the solution. y-y = -xyl/2 y =(x+2+ce½,? B y = (x+2-ce/½,? © y = (3r - 2+ ce/½,? = (3x –…

A: The given differential equation is ,       y' - y =  - x y(1/2)  Bernoulli equations :  An equation…

Q: 46 a Show that cos x+ =-sinx. = -sinx. d" (cosx) = cosx + drn b Prove that

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Q: Question 12 Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(O) = 0 Find the general solution.…

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Q: Calculate the line integral of F(x, y, z) = (e, e*-Y, e") over the closed path ABCA, where A =…

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Q: Find an isomorphism from the group G = to the multiplicative group {1, i, – 1, – i} in Example 3 of…

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Q: rative of the f he unit vecto p, then Ja + B|

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Q: (- 1)" Consider the series E N 9+). Which of the following statements are true? (Select all that…

A: Given :  The given series is  ∑n=1∞an = ∑n=1∞-1nn79+1n7 We have to check the convergency analysis of…

Q: Question 5 Find the solution. (D2 + D- 6)y = 0 y = c,e* +c,e2 3x (A) y = c,e* +c,e-2* B – 3x -2r y =…

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Q: Solve the system of inear equations, using the Gauss-Jordan elimination method. ar there is no…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Solve y" – 4y' + 6y = 8(t – 3), y(0) = 0, y'(0) = 0. -

A: Use Laplace table.

Q: Find the solution. (D²-2D-3)y = 0 A y = c,e" +c,e * B y = c,e © y = ce D y =

A: D2+2D-3y=0 Auxillary Equation m2+2m-3=0 ⇒(m+3)(m-1)=0 ⇒m=-3,1

Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

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