Solve the given differential equation. All solutions should be found. dy =e7x + 1ly dx NOTE: Use c for the constant of integration. e7x y = cella 4

Q: Given the matrix 1 2 2 1 A = 23 -1 1 3 5 0 0 1 Determine if the matrix equation Ax=b has a solution…

A: A=121023-113501 Lets say  b=lmn  such that AX=b has solution

Q: y Find Laplace tras Function sform of The following 644 -3t B) f · (t) = @²² (f+m)² where M is a…

A:

Q: OC would never be chosen over A. Whether the student would choose A or B depends on her preferences.…

A:

Q: Determine ¹ I 5s +1 s²-s-12)

A:

Q: A tank contains 200 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A:

Q: Ex.3 The numerical series (n+1)! n=0 5-n! (A) has the same behavior of (n+1)! n=0 (B) is…

A:

Q: A linear system is inconsistent if and only if its augmented matrix has a row of the form [00... 0…

A:

Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: For the given periodic function f(t)= - coefficient a, can be computed as -0.9119 O -8.1275 -0.5116…

A:

Q: Q: Discuss find following surfaces Traces. the intercepts and 4x₁²² + 44.² + Z² - 16 = 0

A: Given: Equation of surface 4x2+4y2+z2-16=0 To find: The value of intercept and traces.

Q: What is the improvement index of (Factory X, Town C)? TOWN A TOWN B TOWN C SUPPLIES 700 FACTORY X…

A: To find the improvement index of (Factory X, Town C) form the data.

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

A:

Q: If two systems of linear equations have different numbers of equations, then the two systems are not…

A: Two systems of linear equations are equivalent if and only if they have the same solution set. Now,…

Q: Evaluating real integrals using the residue theorem. 5.0⁰ ∞x sin(3x) x² + 16 -dx =?

A:

Q: 10 8 6 4 2₁

A:

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Given the differential equation is                        y'=y-cosπ2x

Q: Consider the initial value problem given below. y=-Y. (0)6 Show that when Euler's method is used to…

A:

Q: y(x,0) = f(x) = x+1 1-2x 0≤x≤ ½ 0 otherwise −1≤ x ≤0 dy Ət lt=0 = g(x) = 0

A: As per the instruction, we will be answering only the first one. If you need an answer to others…

Q: Use Gauss's Theorem to evaluate fF.ds for the vector field, F = x³ į+ y³ į+z³k, taking S S to be a…

A:

Q: (a) Determine the Laurent series for the ƒ(z) function about the origin. (You need to get one series…

A:

Q: a. #5 Prove that for all integers n, it is the case that n is even if an only if 3n is even. That…

A:

Q: Take the Laplace transform of the following initial value problem and solve for Y (s) = C{y(t)}: y"…

A: We have to solve the given problem by Laplace transform.

Q: (b) Find the mass of the surface S, where S is given by r(u, v) = (2uv, u²-v², u²+v²), (u, v) E D…

A: Consider the given vector equation of the surface, ru,v=<2uv,u2-v2,u2+v2> where, D=u,v∈ℝ2:…

Q: Ex.10 Given the solid C = An B, with A = {(x, y, z) € R³ : x² + y² + z² ≤ 4, z ≥ 0}, 2z drdydz,…

A: The given problem is to evaluate the given triple integral of function 2z over the given solid…

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 -1 2 3 12₂₁ +1…

A:

Q: Starting from t 0.01 with step -0.01, find the value of the following y = f(t) = 3e "cos St-2esin…

A:

Q: Solve the equation using Relaxation's method until 5 iterations. (Non-anonymous question O)) 5x₁ -…

A:

Q: Q1:- Using the Bisection method with Initial Guesses XL= 5 And Xu = 7 Find the Root of the Equation…

A:

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

A:

Q: 9. F(x)= 4x¹-6x²+1 is even function True False оо

A:

Q: Consider the definite integral given below 3.5 S (x cos (3 z) - 1.1 z³) dz 0.1 a) What is the value…

A:

Q: Obtain the roots of the following equation by the fixed point method starting at x = 1 and solving…

A: To obtain the root of 4x2-2x-9=0 using fixed point method with x0=1

Q: cosh? z + sinh2z=1 true False O оо

A:

Q: 5.Express this model of an electric circuit d²y dy +6 +5y=sin10t, y(0)=0, y'(0) = 1 dt² dt As a pair…

A:

Q: 3. logi (x2+x)- log(x+1)=2 А. 2 О А о B О с O D B. 16 с. -8 D. - 16

A:

Q: Find the equation of the graph and estimate the instantaneous rate of change at x = 1

A: From graph we can conclude that the equation of this graph be a parabola i.e., a quadratic equation.…

Q: Ex.7 The area of the surface ∑ = {(x,y,z) €R® : (x² + ²) < 1, z = 9 + xy} is: (A) - 5 (B) 4개 2 (C)…

A: Using polar coordinates.

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A:

Q: Consider the solid Q bounded by the surfaces S₁: Z-1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y =…

A:

Q: b)* Describe the set {TER²: doo (1, (0, 0)) = 1}.

A: We have to describe the given set x∈ℝ2 : d∞x, 0, 0 = 1.

Q: 3x²y dx − (x³ + y³)dy = 0, y(1) = −2

A:

Q: Solve for this equation, show your solution for the exact DE. (Non-anonymous question) 3x(xy - 2)dx…

A:

Q: 3. a) Compute: f (Rez-3z) dz where I is a directed line segment from z = 0 to z = i. b) Let C be the…

A: To Evaluate:  (a) ∫Γ(Rez-3z)dz , where Γ: z=0 to i. (b) ∮Ce-zz2(z-5)dz, where C: |z|=4 oriented…

Q: 1. x₁ + 6x₂ - 8x3 = -6.6 10x₁3x₂ + 6x3 = 8.6 x₁ + 15x₂9x3 = 0.8

A:

Q: Iterations 0800 I1 12 13 14 I5

A: The sum of first n terms of a geometric progression is calculated using the formula: Sn=arn-1r-1,…

Q: Prove that there are 1000 consecutive positive integers that are not perfect squares.

A: Here I give an example. That proves the hypothesis.

Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = -2

A: Solution to the differential equation

Q: 2. F A complicated equation was simplified and factored into (tanx) (sin²x -a\ Determine the number…

A: We have to find solutions of given equation.

Q: of the function. 4. Find the Fourier transform of of 1/(1+t²).

A:

Q: A sequence of integers Ln for n E No is defined by the recurrence relation Ln+2 = 3Ln+1 Ln, n>0 with…

A: