11. The general equation for a family of quadratic functions is y = a(x + 1)(x - 3). Find the equation of the member that contains the point (-2, 15). * O y= (x+ 1) (x - 3) O y= 3(x + 1) (x – 3) O y = -3(x + 1) (x - 3) O y = -(x+ 1) (x - 3)

Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: Determine the coefficients of the equation y-ax'+bx²+cx+d so that it will have critical points at…

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Q: 1 Find the general form of solution of the first order equation U + 2u, = (x – 2t)u + 2t2 + 3tx -…

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Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of…

Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

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Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

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Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: 1- Find the interval wherex satisfies the equation: 1 3z12 12 6z 19 ) T 4 D) a 3 Tく1,23 T4

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Q: 2. Find general solution of the DE y" + 3y" + 3/ + y = 0

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Q: - 3)²y" (x) - 3(x-3)y'(x) + 3y(x) = 2(x-3)^e², x > 3. Verify that y₁(x) = (x-3)³ is a particular…

A: Given the differential equation: x-32y''x-3x-3y'x+3yx=2x-34ex To find the solution of above…

Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

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Q: Suppose ay″+by′+cy=0 with y(0)=d and y′(0)=k has a general solution y=5e^(3x)−xe^(3x).   What are…

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Q: 8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 +…

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Q: Find X Y Z for these equations 3/2 X + 2v3 Y – 32 Z = 15 - X +3 Y + 2 Z = e^0.5 V3 X + v2 Y – Z =…

A: For the system of equations AX=B, if inverse of A exist then X= (A-¹)B

Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

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Q: The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy + z –…

A: Given - The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy…

Q: 10. Find the particular solution that satisfies the initial condition. my'+2y = 3x2-5x, Initial…

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Q: Find a general solution of y"- iy'+6y= 0.

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Q: a) Give a particular solution for y" – 2y' + y = 3e*. %3D

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Q: Suppose that x-y" + axy' + by = 0 has the general solution of the following form: y = C,x³ + C2x³ In…

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Q: Give a particular solution for y" - 2y' + y = 3e".

A: Explanation of the answer is as follows

Q: 1. Find the maximum value of f(x, y) = 4xy where x > 0 and y > 0, subject to the constraint 9. = 1.

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Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: 8:8 The profits y (Rs. lakb) of a certain company in the xth year of its life are given by 5 3.83…

A: A regression equation is used to predict the value of response variable at values of explanatory…

Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: 6. Convert the equation x² – 5 = 0 to the fixed-point problem x = x + c(x? – 5) = g(x) with c a…

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Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: 2. Consider the following optimization problem: max x, (30 – x, ) +x, (50 – 2x, ) – 3.x, – 5x, –…

A: The objective is to state the KKT conditions and solve the optimization problem max…

Q: 5- Find the particular solution for: 2e2x – y = xy', x = 1 when y = 6 %3D

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Q: Find the particular solution of y' = x^3 - 2xy when x = 1, = 1. O 2y = (x + 3)^0.5 In(2x+3) O 2y =…

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Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

Q: The graph of y=x'-3x-24x +32 is concave upward on the interval (1, oo) because: O'=y"=0 Oy' is…

A: The given function is y=x3-3x2-24x+32

Q: 1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y…

A: The complete solutions are given below

Q: Show that if the pair of complex-valued functions Y = f,(1) + if,(1) ュ=g()+ig.() (where f, f2, g,…

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Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: 6. Find the general solution of (x + 2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 - x - 2y) x + y…

A: Answer is option D)

Q: Verify that y = c1x+c2Vx+ is the general solution of the 6x following nonhomogeneous 2.²y" – xy' + y…

A: Derivative of xn: Derivative of an exponential function that is, xn is given by the formula,…

Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: 1. The Maximum point of y= 9-x² x²-4

A: This is a problem related to maxima and minima. Based on the general formula and concept we will…

Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

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Q: 9.7.2 Question Help Use the method of undetermined coefficients to find a general solution to the…

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Q: 2.40 Solve the following problem for x (t) and y(t): x = -2x + 5y y = -6y - 4x + 10us (1) x(0)=5…

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Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

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Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

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Q: 22. Find the particular solution for he non-homogen 1st OLDE using undetermined coefficient method,…

A: Differential equation system.

Q: 2) For the following LP: min Z = x1 +x3 – 2x4 X1 + 2x2 + x4 = 4 -x2 + x3 - X4 = -1 X1, X2, X3,X4 > 0…

A: The given Linear programming is                       min Z=x1+0.x2+x3-2x4             subject to:…

Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

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Q: 1 Find the general solution of x'y" +xy' -y= x+1

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