Solve the equation 2 x " y " + 3 x y = (1 + x ) y = ху - which has a regular singula Point x = 0. P(x) = 3 1+x , q(x) = - 2x2 but XP(x) and x q(x) is analytic at x=0.

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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Q: Find all functions y satisfying y" + y" = y' + y. You may use the factor- ization x + x² – x - 1 =…

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Q: The stationary points of ymx³+4x²-3x+2 are ( decimal places ) and ( Type your answer to 2

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Q: 30. G(x) %3D х3 -5e2х

A: Given  G(x)=x3-5e2x Now we have to find the difference of G(x) as shown below

Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

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Q: Divide P(x)=8x-4x+2x-1 by D(x)=2x-1 Find the quotient, Q(x), and the remainder, R(x) Write an…

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Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: (a) Form the difference equation whose solution is yk = c1 + (c2+ csk)(-1)*, where c1, cz and cs are…

A: Given that the solution is yk=c1+c2+c3k-1k. To find the difference equation of this solution: For,…

Q: Differentiate in two ways: y = (x + ¹)(x - ² + 1)

A: We know that the product rules of the derivative d/dx(uv)=u*(dv)/(dx)+v*(du)/(dx)

Q: Find x- and y-intercepts for f(x)=(x+2)2(x-1)

A: Topic- function

Q: Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic…

A: It is given that ;         u = 3x2y+2x2-y3-2y2 And we have to show that u is harmonic  and to find…

Q: Express ƒ(z) = 4x² + i4y² by a formula involving the variables z and ž.

A: Let,

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: When you substitute y''p and yp into the equation, where does the: 4Ccos(2x) and -4Dsin(2x) come…

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Q: f(x)=2-\x t4| give their domain, range, -intercept, and y-intercept

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Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: f(x) = x2 + x − 7 y-intercept x-intercept

A: Topic = Coordinate geometry

Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: If u(x) = x3, then du = 3x2.

A: