10. a = -2i+ j – 3k, b = 2j – k %3D

Q: 2tds + s(2 + s²t)dt = 0

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Q: 4. Solve the given nonhomogeneous( or undetermined coefficient( O.D.E by variation of parameters (1)…

A: In the first step find the complementary solution of the given differential equation:

Q: 1. Find out the integrating factor and solve: x dy + (3x + 1) y dx e-3* dx.

A: First we will write the given differential equation in form of linear differential equation then we…

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

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Q: 5. Find the general solution of (6x² – 7y²) dx – 14xy dy = 0

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Q: Suppose The problem of intial values y = log (x+y), y(a) = 2 How often is. The modified Euter method…

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Q: 4. Calculate the concentrations of H" in the pure water solution with pH = 6.90. A. 1.10 x 10 M B.…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 3s L-1 (s+2)² O 3e-2 (1 – 2t) O In () 4 6te² O 3e-24 (1 + 2t) O 3 t e2t 3te-2t O 3e2' (1 + 2t) O {(e…

A: We have to find

Q: 14. 2ste-ds + (s?e-t - t)dt = 0

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Q: Find the value of k that makes the antidifferentiation formula true. (1– 10x) 1 dx=k In 1= 10x + C…

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Q: 14. Find X(s), given x" + 16x = t, x(0) = 0, x'(0) = 0.

A: answer is in next step

Q: 2 Calculate e(0) and e(0) for 1.98z E(z) = (z? – 0.9z + 0.9)(z - 0.1)

A: Ez=1.98 zz2-0.9z+0.9z-0.1Now put the value z=0E0=1.9×00-0+0.90-0.1=0Becouse 0x,x≠0⇒0Now E(z)=1.98…

Q: Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A…

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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: 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: Solve the following initial-value problem by using integrating factors: х?у' + ху —D 1, х>0, у(1)32

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Q: 2 1. The cissoids y : %D а —х

A: Given the equation  of cissoids y2=x3a-x As per our guideline we are supposed to answer only the…

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: Date 3. Determine if the equation is homogeneous in what degree then solve for the general /…

A: Solution

Q: 4.2 Apply the appropriate method to calculate the following: = s****-8 dx dp: x2-4 I =

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Q: 2. J고dr (e* -1) (e +1)

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Q: A- Find the integrating factor of the following D.E 2

A: a) Here we have to find the integrating factor of given differential equation:-  We have,  Compare…

Q: [2 + m 3 1. Given A= 1 a. (AB)¹ - A 1 2 -1 -1 4 5+ ml and B = [-1-m 2 91 3 5+m 3 0+m 6 11 Find the…

A: According to Bartleby guidelines I can only answer the first question of the given three questions.

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

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Q: Suppose that k = 0,2hr−1 and that the smallest effective concentration is 0.04mg/ml. A single dose…

A: Given

Q: dp apš – Bp dt p(0) = 0

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Q: ) Solve ac-4xdx+ xly=0 using the integrating factor M= to

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Q: (-1)" S. =È D n=1 Vn +1

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

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Q: What is a suitable integrating factor that can be used to solve the equation: X +2у — 4ху - е *cos…

A: topic - integrating factor for differential equation

Q: Q1 – Find dy / dx for the following functions : e0 -2 2.8ln2 Y= 4 6 * sinh 9x * Inxy sino log2 2 Q2-…

A: Since you have asked for a multiple question, we will solve the first question for you. If you want…

Q: 4. Solve the Bernoulli's equation dy +2xy– y' =0. dx (MAT300/OCT2008/8M) 1 1 Ans: 14 +c or 5x 4 + cx…

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Q: Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A…

A: Here a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A salt…

Q: * The solution of | x + 3| = 4 is :18 7 or 1 O 1 or -7 O 7 O the integration of the function below…

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Q: 10. 2ste tds +(s²e-t - t)dt = 0 C = s²t-te² + e²

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Q: Match the hypothesis, df and alpha to the critical value(s) A. - 2.390 H:H#45, df = 38, a = 0.05 B.…

A: Hypothesis given  (a) H1:μ≠45,df=38,a=0.05  (b) H1:μ>37,df=28,ɑ=0.10 (c) H1:μ<62,df=60,ɑ=0.01…

Q: This content X (in percent) and impurity Y (in percent). LtX 4.2-10. A certain raw mnaterial is…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Solve the heat equation with homogeneous D

A: Given, the heat equation with homogeneous Dirichlet condition                 ut=2uxx, 0<x<π2,…

Q: 7. Given a set of N concentration measurements C, at times t, set up the formulas for numerically…

A: We will solve this question using basic knowledge of trapezoidal rule only. Recall that for some "n"…

Q: Match the hypothesis, df and alpha to the critical value(s) EH1: H #45, df = 38, a = 0.05 A. ±2.021…

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Q: 4. Jordan and Jeffrey are driving north. Jordan is driving at 65 kph and Jeffrey is driving at 85…

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Q: A tank containing 10 kilograms of salt dissol- utions pumped in. The first solution of 0.2 kg min.…

A: Given:

Q: 9. 3cos(@t – a), where w and a are constants.

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Q: The population of two different species are given by P1 P1 = 4e0.6t - and P2. where t is measured in…

A: The population of two different species are given by, P1=4e0.6tP2=9e0.4t

Q: by first – shifting find L(e-3t t4) = %3D 24 .a O (6+3)s 0 12 (643)* *9 6. (s+3)4 *0 12 (s+3) 5

A: To find the Laplace transform the given function: That is to find Le-3tt4. We know that,…

Q: Solve the following linear IVP by first finding appropriate integrating factor an dy x = 2y², y(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.

Q: 16) Use the method of Variation of Parameters to solve 3y" – 6y' + 6y = e* sec x.

A: To find the solution of the below differential equation using the variation of parameters. 3y'' −6y'…