Which of the following is the general solution to the differential equation (3 + 8y³e(3y=x))dy – dx = 0 ?

Q: Find the solution. y'-y =y2ex A y = с — х с +х B y = с —х y = D y = с +x

A: The solution is given as

Q: Question 1: 1- Evaluate xp 1+ x

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Q: · Let r(t) = (x(t), y(t), z(t)) be twice differentiable and let u(t) = r(t) · [r'(t) × p"(t)]. Show…

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Q: dy 1. The linear differential equation dx has the integrating factor equal to (Note: Simplify or…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 4. Given the system dr -6x – y dt dy dt. 3x 2y (a) Find the general solution. (b) Find the solution…

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Q: и Write the vector shown below as a combination of vectors ū and v shown above

A: Solution

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Q: Consider the following IVP: y' +y = e2t; y(0) = 0 Find the general solution. A y(t) 2 B y(t) 5 y(t)…

A: Given differential equation is y' + y = e2t ; y(0) = 0

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A: This is a problem of Logic.

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Q: Solve the given system of linear equations using the LU Decomposition Method. 3)   3x1 + 4x2 + 2x3…

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

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Q: 2 Mrs. Rogan is a Mathematical teacher -she gives a 60-item test The scores OF e 46,…

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Q: 2. Integrating factors found by inspection.: y(x² – y² +1}dx-x(x² – y² –1}dy = o

A: We have to solve the given differential equation.

Q: 4xy V = -2xz XZ

A: relationship between voltage (V)  and uniform electric field (E) can be given by  E→=-dVdr=−∇→V…

Q: Consider the function f(x, y) = &x² – 8y² subject to the conditionx? + y² = 9. Use Lagrange…

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Q: The total revenue and total cost functions for manufacturing Items are: TR(q)=-5q2+80q and…

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Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: 3) Consider the differential equation: y(s) – 8y(4) + 26y"- 48y" + 45y' = 0 (3) %3D a) Determine the…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: A. Find the area enclosed by each of the following curves. T= 4 sin e

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Q: 5. Given that 8x2 w(x, y, 2) VIVE Use partial derivatives to find the maximum percentage error in w,…

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Q: Question 2: A discrete random variable X has a probability distribution function given by P(X = x) =…

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Q: Find the solution. dy 2y dx A y = x(x+c) B y = x²(x-c) -2 y = x?(x+c)? O y = x'(x+c)³

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Q: 7. Let f be continuous on [a, b]. Suppose that f, Vx e [a, b). Prove that f(x) = 0 for all a x € [a,…

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Q: b) Given a linear system as below х — 2у + 3z %3 9, —х + Зу %3D — 4, 2х — 5у + 5z %3D 17 Find the…

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Q: c. Solve the system of equations using Gaussian Elimination. x-4y +3z = 1 2x-6y +6z = 4 3x +2y - 2z…

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Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

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Q: Which is a solution to the following system of equations? + 3z 2y + 22 1

A: Solution of the system

Q: n each part below, give an example of a function which satisfies the given criteria. Justify that…

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Q: Consider the following IVP: x" - 4x' + 4x = 4e2i; x(0) = -1, x'(0) = -4 Find the general solution. A…

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Q: Find the solution. dy -+y= dx 1+e y = ce+e "*In(1+e") B y = ce"+e*In (1+ e*) y = ce -e *In(1-e") ye'…

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Q: Solve the following set of equations using the Gaussian method. -2x, + 3x, = 5 X + x, = 10

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Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an initial…

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 4 b = 2…

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Q: The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern…

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Q: Find the solution, (D3+3D2+3D+1)y = 0 A y = c,e*+ (c,x+czx²)e-* y = c,+c,e"+c;e¯ B C D y =…

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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 the solution. (D2-4D +7)y = 0 y = e-2(c,cos3x +c,sin3«) Oy= e"(c,cos/Zx+c,sin/2x) O y-…

A: Given differential equation is (D2-4D+7)y = 0

Q: Determine the general equation of the plane containing the points P(1, -4, -5), 3 Q(2,0, 13) andR

A: We have to determined the general solution of the plane that containing the points P(1, -4, -5),…

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: 2) If we know that y,(x) = e2* is the solution for the equation (2) xy" + (2x – 1)y' – 2y = 0 (2) a)…

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Q: f(x, y) = /x² + y?, g(x, y) = x² + y², h(x,y) = 1– a² – y² %3D by inspection, and explain your…

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Q: Question 8 Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general…

A: Given is an IVP with initial conditions   To Find:  Solution to given IVP with initial conditions…

Q: Solve y" + 4y —и(( — 1) + 6(t — 2), у(0) — 1, у (0) — — 1. |

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Q: 1. Given a two variables function z = f(x, y) = V64 – 4x2 – y2. (i) Determine the domain and range…

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Q: 1. Consider the iterative scheme: 3 + 1/x Xn+1 = 4° Find the fixed point(s), determine the stability…

A: Given iterative scheme  xn+1=34xn+1xn3       .....(1) which is of the form xn+1=fxn where…

Q: Find and classify all critical points of the function 5 f (x, y, z, w) = x² + y? + 3z2 + w² + 3xy+…

A: The given equation is f(x,y,z,w)=x2+52y2+3z2+w2+3xy+6xz+5xw+4yz+2yw+5x-3y+6w. The partial is…