Work out the following | (2x + 1)e² -z da =

Q: Which of the followings solve the initial value problem 2(2xy + 4y – 5)dx + (x + 2)²dy = 0, y(-1) =…

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Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

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Q: Solve the following equation using Gauss Seidel method. Show the first two iterations in detail. x-…

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Q: If x¨ + x˙ − 6x = e ^−t, with x (0) = x˙ (0) = 0, what is X (s)?

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex²

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Q: 4.2 Apply the appropriate method to calculate the following: 1 = f***-8 I = S x2-4

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Q: 3) Solve the initial value problem : dy 4x5 4096 3x2 у(16) - 1 %3D %3D dx 5/2

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Q: 1. Find the general solution of " – 16y =e"

A: Given: y''-16y=ex  ……1

Q: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: What can you say about the upper bound of E(x) for numbers of the form 3^(2n) + 1?

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Q: E (2n – 1)x" n=1

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: d 1) Find sec dt 2)

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Q: Estimate the value of E-2 (1/(n² + 4)) to within 0.1 of its exact value.

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Q: Solve the following initial value problem. Make sure to show all of your work. 3 + 5y = 2x°e-ba; y…

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Q: Find solution of the problem in the form of the normal mode u * eo-xlc) and discuss the result a²u…

A: Given that : u=eiw(t-xc) Simplify it, we get : u=eiwt.e-iwxc. We know that : eiθ=cosθ+i.sinθ .…

Q: Find a general formula for dr ax + b dx" cx +d

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Q: 1. Determine the following: 8. S(V)° -+ - 9 7 dx (4x-1)3. 2-x 2x5-4Vx+3 h. S

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Q: Find f(x) by solving the initial-value problem: f'(x) = 3e2 +2x2; f(0) = 5

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Q: 2. Solve f e** using Simpson's 1/3 Rule with n = 8.

A: The Simpson's 13rule is given below by,  ∫abfxdx=h3fx0+4∑i=1, i is oddn-1fxi+2∑i=2, i is…

Q: 1/2 S x²√1-x²dx. 0

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Q: 9. Approximate both solutions of e* 5x to three decimal places

A: Given, The two curves y = 5x   and   y = ex   We have to find the solution of  ex = 5x  graphically.…

Q: 2. Solve the following: dt x> 2 X-y t+

A: The formula for the substitution method for definite integrals is given by , where g'(x) and f(x)…

Q: What happens to N(t)=100x e^(5t) as t → infinity? Based on your answer would you consider this a…

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Q: dt (b) t - V1- t2

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Q: Solve e = 1 + V3i for all values of z

A: Given,              ez=1+3i

Q: 3. Derive the reductive formula for S sec" (x) dx.

A: We will find out the required solution.

Q: 3. Solve the following using Two Phase Method MIN Z = x1 + x2 subject to 2x1 + x2 >= 4 x1 + 7x2 >= 7…

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Q: Solve the following examples 1 2 2xy with the initial condition(1) =1 y3 6.

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Q: Solve the given initial-value problem. x1' = 2x1 – x2 – 4x3 + 2e¬t x2' = 2x1 – 4x3+ 3e¬t X3' = x2 –…

A: Given: The initial-value problem, x1'=2x1-x2-4x3+2e-t x2'=2x1-4x3+3e-t x3'=x2-2x3+e-t such that…

Q: 2. Find the general solution (4y e)

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Q: 2) y-Sy=-5xy* Type:? find general solution. 3

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Q: Find the general solution of xy²dx = e

A: By using variable and separation method

Q: 12. Find the general solution using Reduction of Order: a) y" = 31n x

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Q: Show that y = x (1 – e*-1) is a solution | to y" – y' + e"-1 = -1

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Q: solve for x if CDy=4(x-E)

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Q: Also p; 2 0 for all j = {1, ., k} and E-1P; = 1. What is the value of E(X) and V(X)?

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Q: Solve the following D-E 2) x- 2y = x³cos4x dx

A: Topic- solution of linear differential equations

Q: Calculate E(X³), where X has the following PMF: .5 x=1 f(x)=.3 x=2 2 x=3

A: Given that  PMF of X is  x 1 2 3 f( x ) 0.5 0.3 0.2

Q: Find y''of 4cos(x/2)+e^-2x

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Q: 2. Solve the following problem 10 (хи — 2x2 — 5и?)dt max | 0, dx = x + 3u, x(0) = 6, x(10) free dt

A: We will use Euler-Lagrange equation to solbe the optimization problem.

Q: Solve e = 1+ V3i for all values of z

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Q: Find the general solution of the DE y" + 4y + 4y = e²x

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Q: Some initial value problems do not have unique solutions صواب ihi

A: Yes statement is true: y(t)=0 for t∈[0,1] and y(t)=(t−1)^2 for t≥1.

Q: Solve the initiall- value problem: - Cad- Smスtみ o<メsos, Using Adams- Moulton method w0rking to s…

A: Given - dydx = cosx - sinx + y , 0 ≤ x ≤ 0.5 , y0 = 0 To find - Solve the initial - value problem…

Q: 1 al 1z(z -4)e – 4)e z=1

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Q: b) Find L[e* S (-os22) dt] and -1 4s+5 * ls-1) (s+2).

A: Laplace transferom and inverse Laplace transferom, using all the properties.