U.JP 4)y=-3e-5 sinx is the function y=e* + sinx. What is its gen- A particular solution y, of (D² - eral solution? A. y=c, sin 2x+c₂ cos2x + e* + sin x C. y=c₁e¹* + c₂e2-3e* -5 sinx B. y=e² +e-²x + e* + sin x D. y=c₁e²x + c₂e-²x + e* + sin x ,-2.x

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A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: L(e-3t (2 cos 5t-3 sin 5t)) 20

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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: Solve for the general solution of the equation: y" +4y=-x+4e², Ⓒy=c,cos2x+c sin2x -0.8x+0.25e…

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Q: Find the form for a particular solution to the equation y "+2y'– 3y =r?cos (nt). A…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: 6) Find X 11 df dx by using chain rule if f=u+= cos² u G(x)= U=πX 7) Say whether the function is…

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Q: Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y)…

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Q: Solve csc y dx + sec²x dy = 0 elect one: a 4cosy + 2x - sin2x = c O b. 4cosy + 2x + sin2x = c c.…

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Q: 3. V2 C T. V2 V2 3 10. sin B =[Select ] 11. cos B = [ Select ] 12. tan B = Select] - -13

A: Trigonometric ratios

Q: If x²y" + xy' + (x² – ÷)y=o x >0 ,V,=x 2 sinx , and y =y;v. Which of the following equations…

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Q: -1 (3) cscx = sin X

A: We have to use proper substitutions and properties of analytic function.

Q: Solve the equation (r + sin x - cos x) dr + r(sin x + cos x) dx = 0. %3D Select one: O a. r^2 + r…

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Q: #4 tan lun sec x dx 4.

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Q: Solve cosx dx + (sinx)y=1 Select one: O ay sinx + ccosx O b. y = 2sinx + 2cosx + c O c. y = sinx –…

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Q: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

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Q: 1 = x²y" + xy' + cx? - +»v=o x>0 ,V1=X sinx , and y =y,v. Which of the following quations satisfied…

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Q: Lim メートo Cos aX Cos bX

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Q: Solve sin 20-2 cos e on the interval 0 Sx <2n. 0, 7 3x ズ 2 2 21

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Q: Solve the equation y' + a = eax +)csc(ax+y), where a is a real number Select one: a. e-(x…

A: The differential equation is given as y'+a = e(ax+y)csc(ax+y)                          (1) Let ax+y…

Q: dy Solve x cosy = 2x. (siny) – 1 dx O a. y = arcsin(- + cx²) O b. y = arcsin(; + cæ²) O c. y =…

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Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: A particular solution of y" + y =sinx + xcosx a. x?sinx - 2xcosx) 4 b. (x?sinx – xcosx) 4 c. (x?sinx…

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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: (1 point) Check by differentiation that y = 3 cos 2t + 3 sin 2t is a solution to y" + 4y = 0 by…

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Q: Find y" if y = 5x sin x. O A. y" =5 cos x- 10x sin x O B. y"= - 5x sin x OC. y"= - 10 cos x+ 5x sin…

A: Solution: The objective is to find the double derivative of the given function

Q: Find the general solution (D? + 9)y = 5e* – 162x %3D a. y = c, cos 3x + c2 sin 3x + 18x +e* 2 b. y =…

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Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

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Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.