Find two linearly independent solutions of 2x^(2)y"-xy'+(-1x+1)y=0,x>0 of the form y1=xr1(1+a1x+a2x2+a3x3+) y2=xr2(1+b1x+b2x2+b3x3+) where r1>r2.

Q: Find y'. y = (x² - 2x+2)(2x³ - x²+4) OA. 10x4 - 20x³ + 18x² + 4x-8 OB. 10x4 - 16x³ + 18x² + 4x-8 O…

A:

Q: Find the root of equation  X^3-x^2+2sinx=0 By using N-R method.

A: Newton Raphson Method xn+1=xn-f(xn)f'(xn)

Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

A:

Q: Exercise 21 Simplify the following: (2x - 1)(x - 3x - 1) (3x + y}(9x² - 3xy + y) 2. 1. (x+2)(x² +…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Why is x+9y^2 =1 not a linear equation?

A: The given equation x+9y2=1

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: (D^3-2D^2-5D+6)y=e^(3x)

A:

Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: The quantity demanded x ( in units of a hundred) of the Mikado mini cam co per week is related to…

A: Given - The quantity demanded x ( in units of a hundred) of the Mikado mini cam co per week is…

Q: A. f(x)=x'+3x-x-3; f(1)=0

A: Q 1 Consider the given polynomial as fx=x3+3x2-x-3: f1=0 If f1=0 then, x=1x-1=0

Q: Solve for x (х+3)^2 О х^2 + 3x + 2 О 2х^2 + 3x + 2 О х^2 + 6х + 2 О х^2 + 6х + 9

A:

Q: f(x)=21x^4+Ax^3+Bx^2+Cx-9. how would you list potential zeros? (A,B,C are integers)

A: We have to find the potential zeroes of given equation.

Q: x' fx -5-0

A:

Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: Integrate [125 dx as a power series. Determine the radius of convergence. x8

A:

Q: y^ (4) + y”” + y” = 0

A:

Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: State the equation of f(x) if D = {x = R | x = }} and the y-intercept is (0,2). x + 1 a) f(x) = 3x+2…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: What is the sum of a and b in the equation f(x) = 2ax^2 + bx + 3 if a relative extremum point must…

A: given  f(x)=2ax2+bx+3given  f(x) is a relative  maximum at (-1,2)  there for  f(-1)=2

Q: May I try this one again?  In the answer given the fourth line down has "u^2=t^2+1" and I believe…

A:

Q: if equations x=3t-2 y=2t^(2)-8;0<=t<=2 to obtain an equation in terms of x and y

A: Given parametric equations,x=3t-2, y=2t²-8; 0≤t≤2Now, 3t-2=x =&gt;  3t=x+2=&gt; t=(x+2)/3=&gt;…

Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

A:

Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

A:

Q: Try Again For the polynomial below, -2 is a zero. h(x)=x'-2x+5x+26 Express h (x) as a product of…

A:

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

A:

Q: x=4 y=5 z=(x÷y×√y-x^2)/(y×√y-√x-2/(√x+√3)) solve with betlab

A: We need to evaluate the expression: (x÷y×y-x2)/(y×y-x-2/(x+3)) for x=4, y=5 using a computer algebra…

Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

A:

Q: With f(z) = 5z² – 7z – 2, find the following: a) f(2) b) f(1) + f(0) c) f(r+h) – f(r - h)

A:

Q: 35./ d-1-10. Toga(x-1)-10ga (xtb)) = l09.Cx2)

A:

Q: *ーx? xp x* + 2x +1

A:

Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: Find a particular solution of y" +9y+14y = 8e-2x

A: The given differential equation .To find the particular solution to the differential equation.

Q: (q) f(x) = sin(sin(sin(x)))

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Show that the third difference of a cubic equation f(x) = ax^3+bx^2+cx+d is constant.

A: Consider the provided cubic equation, We have to show that third difference of given cubic equation…