QI\ Choose the correct answer1- If the equation contains (e ") the solution to the equation is : (separable , linear, exact, homogenous )2- S x. Sin (5X) dx :Cos (SX) X Sin (SX),Cos (5X) X.Sin (5X).X Sin (SX) Cos (SX)2525253-L{e. Cos(9X)} Is equal to:P+9P+9P-9(P-9) 2+81(P+9) 2+81).((P-9)2+814-L ( X*.e") is equal to:403204032040320P+3)),(p+3) 9)(p-3)9)5- The equation (y'-y =e2x ) is :( linear, exact, separable, Bernoulli )

Answered: Image /qna-images/answer/177a054d-e774-4e87-a81f-36f2bcc5d312.jpg

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. Cos(9X)) Is equal to: (P-9) 2481 (P+9) 2+81 (P-9) 2+81 40320 40320 40320 4-L {X*. e" is equal to: (P+3) ), ( linear, exact, separable, Bernoulli ) (p+3) 9 (p-3) 5- The equation (y-y =e2X ) is :

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. Cos(9X)) Is equal to: (P-9) 2481 (P+9) 2+81 (P-9) 2+81 40320 40320 40320 4-L {X*. e" is equal to: (P+3) ), ( linear, exact, separable, Bernoulli ) (p+3) 9 (p-3) 5- The equation (y-y =e2X ) is :

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...

See similar textbooks

Related questions

Q: 32. y" + y = sec x; y = c1 cos x + c2 sin x + x sin x + (cos x) In(cos x), (-7/2, T/2)

Q: |(4e + 5z* – 3 sin z)dx- O 4e² – x³ +3 cos x + c O 4e? +x³ +3 cos x + c O 4e² +x³ - 3 sin a + c O…

Q: 14. Evaluate s sin x dx cos?x C. sec x +x² + C D. sec x -x? + C A. sec x 2x2 + C B. sec x + 2x2 + C…

A: AS per company guidelines we are supposed to answer only one question at a time. For solution of…

Q: 5 dx Find dx, x> V25x? -9 5x In 25x2-9 + C 3. sin-13x+c 1+9x2 +3x|+c 1 V1+9x? + C 3x 3. + C V25x2 -9…

A: The solution is given below in the next step:

Q: + 5x + 6 cos x + 2)dx = e – x + cos a + 2 + c - O 3e* + x³ + 6 cos x + 2x + c 3et + x + 6 sin x + 2x…

A: We need to evaluate the following integral I = ∫3ex+5x4+6cosx+2dx

Q: 5. eу-2*(1 + x?)dx + сos y dy %3D 0, when x %3D 0, у %3D0 2e2* (сos y - sin y) + еУ(2x? + 2х + 3) %3…

Q: 2. f(x) = -5 cos (x) + 2 3. f(x)= 3 cos 2(x + 1) 4. f(x) = -sin 37 x - 1 PS = DCP= PS= DCP = PS =…

Q: Topic: Variable Separable and Homogenouse D.E. I need particular solution for 4

A: We have to solve

Q: 2. f(x) = x²cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x) = 5. f(x) = 2cos (2 + x³) 6. f(x) = x²ln x…

Q: |(5e" + 5x4 =. + 9 cos x)dx 5et + x + 9 sin x + c 5ea + x + 9 cos x + c 5e + x³ – 9 sin x + c O et –…

A: Need to find integration

Q: f cos(x³) x² dx. O 1 ¹ cos4 + c 4 1 3 sin x²+ C 1 1 ¹ cos4 + c - 4 -3 si sin x³+ C

Q: S sin(1 – x) (2 – cos(1 – x))* dx A (2-sin(1-x)5 (2-sin(1-x)5 +C +C D (2-cos(1–x)5 +C (2-cos(1–x)5 +…

Q: 9) S(x.y) = sin (x-3y) Ans. .-2 sin(x-3y)cos(x-3y). S.--6sin(x-3y)cos(x-3y)

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: (x-2) (g-9) 2- 3X+uX- %3D 29-u | Sind general Salantion

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

Q: sin(8t) -2t O a. r(t) = e cos(8t) +e2t O b. x(t) = e 4t cos(8t) – e t sin(8t) COS O c.(t) = e2t…

A: Given, dxdt=12x-8y dydt=16x-4y

Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

Q: sin-1x If y = dy cos(t) dt, then dx Select one: a. cos(sin-1x) b. X /1-x² c. Non of them d. 1 e. 1…

Q: cOS X sec x = 2 sin x if 0 Sx< 2m А. п/4, Зл/4 В. π/ 3, 5π/3 С. T/6, 5n/6

A: Given: cosxsecx=2sinx

Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

Q: (-1)° x*1 (2k –1)! 2k-1 k=0 a) sin x b) cosx c) sin x- x d) cosx-1 e) e* ||

A: Given,

Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

Q: -9 4s4+s*V5-6 ds s4 1-cos? x dx sin x 2. 3.

Q: 1. S 2x sin-1 x² dx. 2. S sin² 20 cos³ 20 d0. 3. S sec? x dx V1-tan?x

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

Q: Q7: Í sin(3z)cos(4z) dz = a)cos z- cos(72) + C b) -tcus x -os(Ix) + C %3D Qe S sin'x cas d = 2).

Q: 1. S sin (2x) dx [sin(In x) + cos(In x)]² dr -dx 2. 4 3. S 3x/10 In(3x) – (1In(3x))? xp: 3(cos x)? +…

A: According to bartlybe guidelines I have right to solve only one question at a time..... Please put…

Q: | (6e"+6x° +4 cos x + 2)dx = %3D 6e + x° + 4 cos x + 2x + c O e – x° + cos x + 2 + c 6 O e + x° 4…

Q: 2x 2)/3x* 2) [3x* - 9x² +1 V9-x² dx .2 3) [ sin xcosx dx x cos.x 4) S sin² xcos 4) sin x cos x dx

Q: * (s in-(x))² dx = V1-x2 Select one: а. sin-(x) + C 1 - x? b. (sin-(x))³ + C 3 C. sin-V1 - x²) +C O…

A: With the help of substitution method, integration is solved.

Q: /² sin sin ( π/4 x² dx (x²+4)5/2 (Use trigonometric substitution) fe2x+Inx² sin x² dx = = Find f…

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

Q: O 1:0: d (sin-x?) = (sin-1; dx 1 d V1 - x² dr (x²) خيار 4 1 V1- x4 2x V1-x2

Q: 8. (D² + 100)y = -300 %3D a. y = C, cos 10x + C2x sin 10x - 3 %3D b. y = C1 cos 10x + C2 sin 10x- 3…

A: Solution: (D2 +100)y =-300 The Auxiliary equation is m2+100 =0 m2 = -100 m= 10i , -10i

Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² Select one: O True O False d/dx(xe2x) = 2xe2x…

A: We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'gx·g'x The Product rule:…

Q: |xV4 - x dx x(x – 1)10 dx 43. 44. /* + 1°d – »° dx (x + 5)(x – 5)'/3 dx (x + 1)²(1 45. 46. |3x*VF +…

Q: 6 (A) /₁ √== B)/ -x/4 D) dx = tan* (x) sec²(x) dx = C) [rea *² x² ex dx = E) 2x cosh(x²) dx = F) /…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: (2 - 3 sin 30 + y) dy- (9y cos 3p- p+1) do 0, y (0) = 2 Dy+4y-6y sin 3p+ q-20= 12 O y-y+9y cos 30- p…

A: We have to find

Q: 7. (D + 4D² + 4D)y = cos x 4 a. y = C, + Cze-2* + Czxe¬2* . 25 cos x+ 75 sin x 4 b.y = C, + Cze¬2* +…

Q: 5. y + 4y= sin x + 3 cos x Ans: y = C₁+C₂ cos 2x + C3 sin 2x + sin x x-co COS X

A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: 5. * S sin(1 – x) (2 – cos(1 – x))* dx A C (2-sin(1-x)5 +C (2-sin(1-x)5 +C+ D. (2-cos(1-x)5 +C…

A: topic - indefinite integral

Q: y = 5)if y =x - 3x* + cos x then a) 360x2 – 72+ cos x b) 6x5 - 12x3 + sin x c) 120x3-72x + sin x d)…

Q: 2. [ (1–3x)sin(}x)dx 4w dw 3. [* w°e™ dw w²e* -1

A: This question is taken from the definite integral in which we have to find the integral of the given…

Q: x²+2x 1. S**** is equal to x+1 c. +x + In\x + 1| +c 1 А. х — + C С. 2 1+x x2 В. 2 D. -+C 1 + x –…

Q: 1. L(e** + e¬* + x²) S-4 s+1 s3 e3 2. L(sin 2x + e²x+3) : 2 + s2+4 s-2 Hint: e2x+3 = (e2x)(e³) %3D…

Q: 3n 2n n S " S"(sin x + cos y)e? dx dy dz 2n 'n A. 2n(e2n + e3™) в. 2п(е2т — езт) c. 2n(e3™ + e2") D.…

A: Given: I=∫2π3π∫π2π∫0πsinx+cosyezdxdydz We know that; ∫sinxdx=-cosx+C∫cosxdx=sinx+C∫exdx=ex+C And…

Q: 2) S(3x + cos(x))[3x + 2sin(x) -312dx = A)13x +2sin(x)- 3 +C B)13x + 2sin(x)-31 +C C) other

Q: + 5x* + 4 cos x)dx = et – x° + cos x + c et + x 4 sin x + c - 4e" + x° + 4 cos x + c ,5 4e" + x° + 4…

Q: 1. y = x - x'cosx + 2xsinx + 2cosx 2sim x-1 2. y= cosx+2 3. tan(xy) + xy = 0 4. y= x 5. y = xArctanx…

A: The given function is y=xcosx. We know that duvdx=udvdx+vdudx.

Question

QI\ Choose the correct answer
1- If the equation contains (e ") the solution to the equation is : (separable , linear, exact, homogenous )
2- S x. Sin (5X) dx :
Cos (SX) X Sin (SX),
Cos (5X) X.Sin (5X).
X Sin (SX) Cos (SX)
25
25
25
3-L{e. Cos(9X)} Is equal to:
P+9
P+9
P-9
(P-9) 2+81
(P+9) 2+81
).(
(P-9)2+81
4-L ( X*.e") is equal to:
40320
40320
40320
P+3)),
(p+3) 9)
(p-3)9)
5- The equation (y'-y =e2x ) is :
( linear, exact, separable, Bernoulli )

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Indefinite Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.