Assume the point (3,5) is on the graph of y=f(x). Determine the value of n in the following situation: (3,n) is on the graph of y=−5f(x)−3.   22 28 10 −28 −22

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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Q: Use Separation of Variables to find the general solution. y. 18x? = 0 (Express numbers in exact…

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Q: 7. Find c such that f(c) = fave where fave is your answer to the previous problem.

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Q: Find a value of n such that y = (x^n)(e^x) satisfies the equation xy' = (x-20)(y)

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Q: ) = x² + y² - 8x - 6y subject to the

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Q: Q6. Find the general solution using variation of parameters of y" + 4y = 8tant

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Q: y = 8e*, on x e [0, 2]

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Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

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Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: Find ƒx (x, y)  and ƒy( x, y) .

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Q: Calculate y*)(0) for 0 < k < 5, where y = x* + ax³ + bx² + cx +d (with a, b, c, d the constants).

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Q: 1. ysinx - xy2 = C

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Q: Q/ Find the general Solution of the diff- equ- x*y"+2xy-2y=D0 ? 1.

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Q: d2y/ dx2 + y = xsinx and show that the solution is  y=c1sinx +c2cos x - x2cos x/4+xsinx/4

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Q: Find all values of x satisfying the given conditions. y1 = 11x- 5, y = 4x +4, and y, exceeds y, by…

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Q: 5. y = xArctanx - In v1+x

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Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: a. If y = 1000(2-0.1x ), find the value of y whenx = 10.b. Use graphical or numerical methods to…

A: If y = 1000(2-0.1x ), find the value of y whenx = 10.

Q: |(3x4–x²) dr=Ax³+Bx³ + C, for constants A, B, C. What is the value of C if the cunrve y=AxS+ Bx³ +C…

A: This is a simple question based on integration which could be solved using the basic knowledge of…

Q: Given the function P(n) = 4nª + 12n³ – 40n? its P-intercept is its n-intercepts are Submit Question

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Q: 2. Eliminate the arbitrary constant on the given equation: Y C12? + C2e¬#

A: topic - differential equations

Q: findthe solutionof the differenta eqration- dy 2X+y-) X 4X+2Y+5

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Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

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Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y+y3 - 3x2 – 3y2 +2.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: At which integer value of x are the functions y + 12 and y = A closest to being equal?

A: solve the above question by two type: 1) Graphically:

Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: Find the value of x. x+1 M K in

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Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: Eliminate the arbitrary constants of  y=e^(-3x) (Acos5x - Bsin5x) + Cx Where A, B,  and C are the…

A: It is given that, y=e-3x(Acos5x-Bsin5x)+Cx. Obtain the first derivative as follows:…

Q: Q3 Find f-(x) for the following : 1- y = Jx-3 2- y = (2x³ + 1)'/5

A: For finding the inverse, we will replace x with y and y with x

Q: is given by: If f(x, y) then 8(8x-4y) '

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Q: Find the function f(x) by solving the initial value p 3. 3x2 f'(x) = -(1, 1) 4

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Q: Find the g (2) if g (x) = S VE– Idt %3D

A: gx=∫32x3 t-1 dt Now we need to find integration  gx =∫32x3 t-1 dt=23 t-13232x3=232x3-132-23…

Q: 1. (D 2 + 3D + 2)y = 4t 2 By: (a) reduction of order, and (b) variation of parameters.

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Q: y = x2 - 2x over the interval (0, 2]:

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Q: If g (x) = 3x² + 12x – 96 on the interval [-8, 4]: What value of C satisfies Rolle's theorem?

A: here we have to use the result of the Rolle's theorem.

Q: Find the local extreme values of ƒ(x, y) = x2 + y2 - 4y + 9.

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Q: The function f(x) 223 42x? + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Let's find.

Q: (2) Suppose f(x) = L 2n² %3D n=0 Find f90 (0). No need to simplify your answer.

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Q: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

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Q: 8. y=x²³²₁ x=2, x-axis; about the y-axis ४.

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Q: 4 Given the function g(n) = 4n" + 44n° + 112n %3D its g-intercept is its n-intercepts are

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Q: b- Find the solution of f(x) e-x, let x, 0 and E- 10-5

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Q: c. Reflection over the x-axis and a y- intercept of 5

A: Given the attribute :

Q: Determine the form of the particular solution for the DE. Don't evaluate the coefficients.…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.