Missing x or y, Reduction of Order y"tan x-1= y', (cosx #0) Solution: Y =-x+C•cos.x+C,

Q: ELIMINATION OF ARBITRARY CONSTANTS 1. y = x² + Ae²x + Be3x 2. y = C,e*cosx + C2e*sinx

A: The solution for the asked question,question no.2 ,  is given as

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

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Q: 2- S x. Sin (5X) dx : Cos (SX) Cos (SX) Cos (SX) XSin (SX) XSin (SX) 25 25 25 P+9 P+9 P-9 3- L{e.…

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Q: عو + Y¹" + 3 Y" + Y' + 22 = 0 general Solution : Y = C₁ cos ax + C₂ Sinba + exp(-22) (C₂ Cos √ 1+1…

A: The auxiliary equation

Q: y" +y = 3 sin 21 +t cos 21

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Q: 9. The period for the function y=sin(2x-3) is (a) A (b) 4л (c) 2 (d) 37 4 10. For the equation sin…

A: Given  9) y=13sin(2x-3π4)10) sinx=-12 where 0<x<π

Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

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Q: Consider the following IVP: y +y = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

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Q: 4). Evoluate 2. (88e0 COS X cot x)dx 4

A: Definite integration

Q: e* secʻ(e* +1dx tan(e* +1) 8. 2x² – 7x -5 9. 2x+1

A: 8) Consider ∫ex sec2(ex+1)tan(ex+1)dx                       (1) Let tan(ex+1) = t On differentiating…

Q: Eliminate 0 from the equations : (i) x = h + a cos 0, y = k + b sin 0 (ii) x = a ser³ 0, y = b cot³…

A: Solution is given: Hope the solution is helpful.

Q: Find y' tan³ (5x - y) + cos ¹(5x - y) = 100

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Q: 2 + sin x Differentiate Y x + cos

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Q: Evaluate and simplify y'. y = tan (2x³ + 5x+6)

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Q: cos x dx sin x-3sin r+2 1-

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Q: sec" xtan y 4. For the function fS(x)-tanx, show that f*+y)-J69"-tanx tan y 5. For the function…

A: We use basic formula here, sin(x+y) = sinx cosy + cosx siny And Tan(x+y) = Tanx+ Tany/(1-Tanx.Tany)

Q: 21 csc' x 8. - (csc' x-1)" dx (simplify: cot' x+1= csc² x) 1 +C = tan"(x)+c ans : %3D 21 cot“ (x)

A: you can clearly understand if you follow the below solution

Q: S(csc x cot x + 7x°)dx O sin x – x' + c O cos x + x7 +c .7 O cot x + x' + c tan x + x' +c - csc x +…

A: To integrate.

Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: iii- y +y tan .* sin 2x, y(0) = 1. (Bernoulli Equation) %3D

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Q: 1 + sin x Differentiate y = x + cos x

A: As we know that: The Quotient rule: fg'=f'·g+g'·fg2 The Power rule: ddxxn=nxn-1 Given:…

Q: X₁. (x₁, Yr) (x', y') 0 (x, y) X x' = x + (x-x, )cos-(y-y,)sin y' = y, + (x-x) sin 0+(y-y,) cos P' =…

A: Solution:

Q: The following proposition is true: "The number of words in this sentence is nine." In logic, the…

A: Given statement: The number of words in this sentence is nine. Concept: In negation, we write the…

Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372

Q: Evaluate x2 dx Select one: on O(sin (2r- 1) + 2(2 (2ain (r) + sin(2si To (stn(2 1I) 2(2r sin(2sin

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Q: Compute y' for y=√(3x++ e - 3x) 8 A (В B D Say 3 24 y = ²4 (4x³ - e-³x) (3x + + e-³x) ³ 5 3 8…

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Q: Exam /Math dy QI/ Find dx 1. if y = u and u = 4x2 – 2x + 5. 2. y = (x² + 4)²(2x³ – 1)3 -

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Q: i) etan-¹x 12 1 + x² dx ii) ii) sin sin5 x dx

A: Solve the following

Q: Ir x²y" + xy' + (x? - +>v =0 x >0 || | 1 - 2 sinx ,V1=X the following equations satisfied by v and y…

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