In Problems 21-28, use the procedure illustrated in Problem 20 to find at least the first four nonzero terms in a power series expansion about x = 0 of a general solution to the given differential equation. 21. y' xy sin a = 22. w' + xwe 23. 2" + x2 + 2 = x² + 2x + 1 24. y" - 2xy' + 3y = x² 25. (1+x²)y" - xy' +y=e=² 26. y" xy' + 2y = cos x 27. (1-x²)y" - y' + y = tan x

Q: Evaluate: da

A:

Q: If e = 26, then x =

A: Given  e7x=26 We have to find the value of x.

Q: Number 27

A:

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: Answer number 10

A: Given that:  Total students = 100 , Math studied = 54 ,  History studied = 69 , Studied both math…

Q: 10+7=?

A:

Q: Number 26

A: Given:

Q: only d

A: Given the table, Here,  fx=x2-1x-1 We need to explain why we can't just find f1 to determine…

Q: Number 28

A:

Q: 1. use Jouble angle identity to find exact value and 0<x<= cos x = T sec (2x) tan (2x) cos (2x) cot…

A:

Q: ed 0,

A: The Laplace transform of a function can be obtained by using the Laplace transform table. The…

Q: 20 14 16

A:

Q: Number 16

A:

Q: Evaluate sec

A:

Q: 19 22

A:

Q: Number 19

A: Solve value for x

Q: ex- 12

A: Given: y=ex-12 we know that am-n=aman

Q: 2426

A: Given expression: 2+2

Q: 6 - 8 =

A: 6-8= -2

Q: 11 35

A:

Q: 7 25 24 A B

A: Given: A right triangle with C as 90o. AB = 25 BC =7 AC = 24     To determine: angle α

Q: 1 plus 1

A: Here we need to determine the value of 1plus1.

Q: 20 . 35 60.

A: Given equation: 20=3560 Consider the missing term be 'x' 20x=3560 The objective is to find the value…

Q: (E) se(a-30)d6

A: (k) Given that                                                           I=∫sec2(7-3θ)dθ

Q: 7rer dr =

A:

Q: Number 284

A: Given revenue function: R(x)=-x2+8x

Q: Evaluate -up-

A: