4. One of the following could be a series solution for y-xy = 0 with y(0) = 3, y (0) = 0 O3- 60 90 03+를 60 4320 504 252 O 2+ +. 6.480 01-+ 于 12960 180 504 504

Q: Find the Power series solution , handwriting solution х^2у"+ху'+x^2у-0

A:

Q: What is the period of this secant graph? -5- -4 3- -1 -30/4 -TT/2 -TT/4 T1/2 3rt/4 5/4 31/2 7T/4 21…

A: Given the graph of the function

Q: Q1) Solve the following equations by the power-series method: A) xy - (x+ 2)y' +2y = 0

A: As per the guidelines I am supposed to do only one question. kindly repost the other question…

Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: dealing with one piece at à tir Deal with the "T+" first. 10. cos (* - a) = cos (T + (를 -a)) = 11.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given So (x) = exp{- (Ax + Bx² + D* – } In D Calculate |10930 ƒor t = 10 round to 4 decimal places…

A: t|10q30 is the probability that a life aged 30 years will survive the next t years and will die…

Q: Q2 /Find the solution of the following series x24 + 24 for x-4

A: Given series is                     Y=x22+x44+x66+...+x2424 The compact form of the series is…

Q: 4. Solve by finding series solutions about x=0: xy" + 3y' – y = 0

A: Given differential equation is x y'' +3 y' -y =0 Here, x=0 is regular singular point. Let y = ∑n=0∞…

Q: IV. Find two positive numbers such that their sum is 20 and their product is as large as possible.

A:

Q: solve x^2y′′−4xy′+ 6y= 0 (not using power series)

A: solve x^2y′′−4xy′+ 6y= 0 (not using power series

Q: 10. One of the following could be a series solution for y + 5xy + y = 6 In x + 4 where y (1) = -1, y…

A: we know Taylor series of the function f(x) about x=a is:…

Q: Find the sum: 5. Check that ³0 (1) (3^4) = (?) 6. Check that Σ10 (1) (35;) = (¹4) -0 ANSWER ONLY 7.…

A:

Q: Let 2a4 + y* + 23 = 4 Then dz (1, 1) = 8/3 -8/3 none of the listed here 1

A:

Q: 4. Suppose that a single bacterium is in a bottle at 11:00 am. It divides into two bacteria at 11:01…

A: As per the question the bacteria population becomes double every minute and initially means at 0…

Q: .suppose that the virus was accidentally released on the open fields.it was found out that there are…

A: Given:  there are thirty persons gets infected by the virus every two second.           i.e. 2…

Q: 2) Perform the following index shifts: i. Write y = no anx" as a series that starts at n = 2 ii.…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 43x+4 dx is equal to 1 x3+4x { A } In 8 {в } In 64 {c} In 25 {D} In 1E

A: Given query is to find the the value of the integral.

Q: 5. Solve by finding series solutions about x=D0: (x - 3)y" + 2y' +y = 0

A:

Q: Find the series solution for (4x² +8x+5)y" - 8y = 0 about x =

A:

Q: 11. One of the following could be a series solution for y + 5xy + y = 6 lnx + 4 where y (1) = –1, y…

A: Taylor series of a function f(x) about x=a is given by:…

Q: Solve In(x - 4) - In(x) = In 4 Select one: a. -2 O b. 2 c. 3 O d. 1

A:

Q: find the solution of the expression y(x) with the power Series in x=0?

A:

Q: Solve x^2y′′−4xy′+ 8y= 0 (not using power series)

A:

Q: ху' — (х + 2)у %3D — 2х2 — 2х

A:

Q: 4-¹ {√ 5. L- -48 se (3s + 2)(s - 2)

A:

Q: 3. For what value of r does the series 1+r+r² + r³ + • = 10 ?

A:

Q: 5. Given >U, = 3n(n +1) calculate the sum r=1 of ten terms starting from the eighth term.

A: Solution: Given that

Q: The infinite sum 0-1 Ⓒtan(+) tan (2) © tan ( ) 1(4)¹ 3(4)³ + - ty 5(4)5 +... is equal to

A:

Q: L{5cosh2t-3sinht} 1. 5s 3 a. s²-4 s²-1 3 5s b. s²+4 s²-1 3 5s C. s²-4 s²+1 5s 3 d. s²-4 s²-1 - +

A:

Q: (6) s(4) + 4s(³) + 5s(²) + 4s' + 4s = 0.

A: (.) Given differential equation is,     We find the solution by the method of differential operator.…

Q: 4. From the series cotan-1 x = 1/x – 1/3x³ + 1/5x³ 1/7x + •··(valid for x > 1) deduce the continued…

A: When a fraction ab is written as, ab=a1a2+b1a3+b2... the representation is known as a continued…

Q: • If x = -0. 8, then [x] + x = 1. -0.8 2. -1 3. -1.8 4. 1 1 0 2 О 3. 4 о

A:

Q: Q1. Solve the Following. i) (367)9 + (715)9 = ( ?)9 ii) (715)8 - (367)8 = ( ?)8 iii) (296)12 +…

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

Q: 3x³-28x² +40x-42 3x² - 4x+5 dx

A:

Q: Problem. Show that S {₁ 【 (s − 2)(s − 3)(s — 6) J L-1 -6)} = 1/2 ²² - e³t + e

A:

Q: 9. The two complex numbers V and W represent two reactances connected in series. Calculate the total…

A: Two complex numbers are To Find: Total reactance.

Q: find the solution x?y"+xy'+x?y=0, Using power series only

A:

Q: •()(2x² + 2x) (4)" ()" 40-x The sum Lx=0 0=x" 230 335 435 None

A: The given equation is as follows: ∑x=040Cx402x2+2x14x3440-x Need find the summation value of the…

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.