Given E[X(Y-1)] = 15, E[X(Y+1)]= 25, V(X) = 10 and V(Y) = 14 and V(X+Y)= 40. Then E(Y) = ) 14/5 2 ) 12/5 1

Q: 1) Use reduction of order method with y₁ (x) = e-2x to find a second solution y2 for the DE: y" - 4y…

A: Solution :-

Q: If P0 is the initial population at t = 0 and k depends on the rate of growth, then the formula for…

A: Given, P0 is the initial population at t = 0 and k depends on the rate of growth Population usually…

Q: 5- The equation (y`-y =e2x ) is : ( linear, exact, separable, Bernoulli )

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Q: Find the function f(x) described by the given initial value problem. f"(x) = 0, f'(-3) = -5, f(-3) =…

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Q: = (b) Find the solution of x' = Ax satisfying the initial condition x(0) x(t) =

A: This is a multipart question. I shall solve all the three parts for you: namely part a), b), and c).…

Q: 1. A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

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Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

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Q: Find the absolute maximum value of f(a) = x2- 2x +9 over the interval [0,5] The value C for the…

A: Use derivative and integration for the following question.

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

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Q: 3. As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at…

A: Given- As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at…

Q: 4(a)Verify that the equation y = In x- Iny is an implicit solution of the IVP, ydx = x(y + 1)dy Y(e)…

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Q: Do the following as indicated: Give a particular solution for y" – 2y' + y = 3e*. Give a particular…

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Q: 'y-1 ++ Beson Muss 1- +

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Q: Solve the DE: (xy'+y)(1+2e* +e*)- xe* = 0

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Q: 3. Solve r"(t) = subject to the initial conditions: r(0) = and r'(0) =

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Q: the particular solution of the following nonhomogeneous D.E y''-2y'+y=4x^2+e^x     by undetermined…

A: Solve ( d^2 y(x))/( dx^2) - 2 ( dy(x))/( dx) + y(x) = e^x + 4 x^2: The general solution will be the…

Q: Solve for  x.  Round to two decimal places. −5x2−9x+7=−2   a) x  =  −2.25 ,   x  =  0.45 b) x  =…

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Q: 5. Solve y"-y'-2y = e-x+1, y(0) = 0, y' (0) = 0 by undetermined coefficients.

A: Consider the given differential equation and initial conditions

Q: solve the solution of the Bernoulli's equation 3yły' + - 8(x + 1) = 0; y(0) = 0 x+1

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Q: 2. Solve the following system of nonlinear equation using Newton's Method. (you can use MS Excel) X6…

A: We will use the basic knowledge of the Newton-Rhapson method for linear equations to solve this…

Q: The indicated function y(x) is a solution of the associated homogeneou Yp(x) of the given…

A: We will solve the given differential equation.

Q: exy+ay 5. Find the constant a so that e*y +y = x – 1 is an implicit solution to - e-xy+x A. * В. -2…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: What is the value of m if y=mx<-2x-3 has a critical point at x=-2?

A: Given y=mx2-2x-3

Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0) =2 by NEDE is A x(x+y-1) = 4e* x(x+y-1)…

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Q: I(x) = /, (In(t))² e-(t-1)* dt - 3x

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Q: 2) Suppose A is a constant such that Ae2a is a solution to the DE y' + 4y + 3y = e2a. Find the…

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Q: dt (b) t - V1- t2

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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 problem using the two phase method. min: z = 3x1 + 4x2 -X3 Subject to 3x1 + 2x2…

A: Since there are multiple questions posted the first question is answered.Kindly re post if any…

Q: Ул c) xn+1 = Xn - Yn - xn + 5yn; Yn+1 = 2х, + 4yn; e) Xn+1 4х, — 2ул — 2г, Yn+1 = Yn Zn+1 = Xn + Zn•

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Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(25) e*e" = e5…

A: The given equations are;  2ln(x)=ln(y)+ln(25) exey=e5

Q: Solve the given initial-value problem. x-( -(:) x-() X' = = X + %3D

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Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

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Q: 1) 3 Use reduction of order method with y₁(x) = e³x to find a second solution y2 for the DE: y" - 9y…

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Q: Find the general solution of xy²dx = e

A: By using variable and separation method

Q: Solve the higher order initial-value problem f''(x) = x-1/x + 3 ; f'(1) = 3, f(1) = 0

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Q: Consider the following system of tanks. Each tank initially contains V1 = 200 gallons and V2 = 300…

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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: If g(x) = d __*[e' - In(2t+1)]dt, find g''(x) . dx -2

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Q: Find the solution of (1 + e²)yy = eª that passes through (0, 1).

A: (1+ex)yy'=ex(1+ex)ydydx=exseparation of variablesydy=ex1+exdxIntegrating both…

Q: 4. 1x" – tx' +2x=0, x(1) =0, x'(1) =2.

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Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: Analyze the given system for b > 0, (fixed points, stability, bifurcation point, limit cycle, etc.).…

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Q: If f(x, y) = −x2 + x3 - y + 4xy + y3, then in the process of obtaining its critical points the…

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Q: 4. Consider the problem x1+ x2 -x +2x2 s -1 2x1 - x2s -1 *1, X2 2 0. max s.t. Try to solve this…

A: We are given the objective function: x1+x2 We have to maximize this function subject to…

Q: Find the solution of the D.E whose solution is given as y=2(x^2−1)+ce−x^2

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Q: 1. E(Y,X, X2... X) (Y+Y2 +. + Yn) 2. E(IX,, X2, X) =E Y2+ + Yp) + -B(X, +X +

A: We have to show that β¯ is conditionally distributed.  To show β¯ conditionally distributed we will…

Q: Solve the given initial-value problem. x - (; -1 -2 3 4 x +(:), xco)- - ( ) X' = 6 X(t) :

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.