Question Which of the following is the solution of the DE (a? + 4) y' = y (2y² + 1) tan - A 2y2 + C y 2 e +2 = 0 B None of the above tan 2y2 + C y 2 e +1 = 0 -tan -1 D 2y²+Cy²e +1=0 -tan - E 2y2+ Cy?e +2=0

Q: Question 9 The general solution for the DE y + 4y=tan(2x) is given by cy=c;cos(2x) + czsin(2x) + =…

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Q: Part C Photo #1: Question Photo #2: Answer Key

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Q: The general solution of (3tanx- 2cosy)sec?xdx+tanxsinydy= 0 by Substitution is (A A tanx(tan?x+…

A: Given that The differential equation (3tanx-2cosy)sec^2xdx+tanxsinydy=0 To find the general solution

Q: Obtain the general and particular solution 3. xcos²ydx + tanydy = 0

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Q: 2. 00 4/7 Step 1 Given: S" 4(5 – 3 cos t) sin tdt - Step 2 We have, 1 = 4(5 - 3 cos t) sin tdt %3D…

A: Given: ∫0π45-3cost13sintdt

Q: 2 WWw -21 2T -TT TT -2 -4 -6 s(2) = 3sin(x + )-2 f(x) = 3 sin x + 4 A) f(x) = 3 sin 2x + -2 B) f (x)…

A: Please go through the attached solution.  Thankyou . Best regards.

Q: 10. Find the solution of the equation [tan(x)+v3][cos(x)+7] = 0 in the interval [0, 7). 27 57 iii)…

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Q: Solve for x, if 0 <x S2n, Write your answers in exact values only. sin x +2sin x cos x 0 3 Tt TC 2 2…

A: simplify the equation and find the value of x

Q: : / ain(tun3x)dx cos²3x tan( tan3x) dx Evaluate: A -in|sec(tan3x)| + c 3 B 3 -In|cos( tan3x)|+C O…

A: On solving this we will get

Q: (3 Points) Solve the IVP. (1 + x² + y² + x²y² )dy = y²dx, y(-1) = 1 O + y = tan-x + 4 O = = cosx +…

A: The solution is, y - (1/y) = tan-1(x) + π/4 The detailed solution is as follows below :

Q: +√√² cas² S 4 cos²20 de is One of the correct steps to evaluate @ 1²00-1/²160²20 4 de- A sin²20d0 Ⓒ…

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Q: To show that rπ/2 sin" x cos" x dx: (m - 1) (m- 3) ... × (n – 1) (n - 3)... (m + n) (m + n - 2) (m +…

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Q: Which of the following is a possible solution to y" + 16y = 0 O y = tan(4x) y = cos(2æ) O y = sin x+…

A: SOLUTION IS GIVEN BELOW

Q: The general solution of (3tanx – 2cosy)sec²xdx +tanxsinydy = 0 by Substitution is A tan?x(tanx +…

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Q: In ab 1+ In² y [tan-1 (In y)]dy

A: Given, I=∫lnab1+ln2y1y[tan-1(lny)]dy Take Constant out, as∫af(y)dy=a∫f(y)dy…

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: 4 L-1 s3 + 4s (A) [1 – cos 2t] (B) [1 – cos 2t] (C) [1 – sin 2t] (D) 1– cos 2t (E) [1+ cos 2t]

A: Given L-14s3+4s

Q: The general solution of sin (x)-cos-(x)3cos(x) is: a. x=2km b. x=TT+2kTt, x=±+2KTT c. X=2kt, x=±+2ka…

A: Given  sin2x-cos2x=cosx Use trig identity sin2x+cos2x=1…

Q: 16. Eliminate 0 from the following equations : and y = b.Sec0 i) x= a.Csc0 ii) x= Sin0+ Cose and y =…

A: we use Trigonometry identities to eliminate parameters from equations

Q: Particular Solution of the equation (sin x) y' = y satisfying the initial condition y(7/2)=e is, (а)…

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Q: Trace the curve x 3 − 6x 2 + 11x − y = 6

A: As we are allowed to answer only one question in one session so i have answered first one for you.…

Q: A, E Question 18 Which of the following statements is true? = xP (s - x) 301 (x-5) In (3) ɔ+- B = dr…

A: Use formula of integration

Q: 13. Which of the following is the solution of [2x+ycos(xy) dx +xcos(xy)dy = 0 x² +cos(xy) = c b. x?…

A: By see this solution in below

Q: II. Which of the following equations does not have a solution in the interval sxs 2 A. csc x =-2 B.…

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Q: 450 400 AA 350 300 250 200 150 100 50 -4 -50 8 16 24 28 36 12 20 32 -100 -150 -200 -250 -300 Dy =…

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Q: (4r + 5)2 2 dr + tan r-y = Cos z

A: Given differential equation is 2dydx+tan x·y=(4x+5)2cos xy3

Q: Question 10 Compute y for y=(tanx)**+1 sec?x y = (tanx)**+1 2xin(tanx) + (x² + 1) tanx %3D sec?x y…

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Q: tan x.cos xr =D1 (p) X UIS sin? 0+sin? 0. tan? 0 = tan? 0 (1) 2 %3D 1- cos 0 cos? 0 + 2 cos 0+1 1+…

A: Since you have posted multiple subparts we solve first three subparts  for you To get the solution…

Q: 12. Which is not a solution to the equation sin x = cos x-1? %3D A. x = 1 B. x == C. x = 3n 13.…

A: We will find the correct options for each question as following.

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…

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Q: Question 2 Question 1 Find the solution. Find the solution. 6y'-2y = xy4 dy x-+2y = –, y (2) = 1 dx…

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Q: above equation. пл An cos x cos -x dx */2 cOS x сos 2пх dx пл 2 cos x cos -x dx %3D */2 Further…

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Q: 4) If y = 2√x - 2 tan-¹ √x, then y y' = -1 1+x²

A: Given :y=2x-2tan-1x

Q: The general solution of (3tanx - 2cosy)sec?xdx +tanxsinydy= 0 by Substitution is A tan?x(tanx +…

A: If the equation M(x,y)dx+N(x,y)dy=0 is not exact and∂M∂y-∂N∂xN is a function of x only = f(x) (say),…

Q: 3 65 7.Secnario-1: cos" + sin +cos ec 13 5 16 Secnario-2: f(x)= tan x. 1-x² a) Show that 2 tanx =…

A: Given,cos-135+sin-1513+cosec-16516and fx=tan x

Q: The general solution of (3tanx-2cosy) sec²xdx + tanx sinydy=0 by Substitution i A B C D tan ²x…

A: To find general solution of given differential  equation.

Q: Find a particular solution yp(x) to the equation y′′ + y′ − 2y = 5 sin x in the form yp(x) = c1…

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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: 21 +2.T.0 () +2-т-0 3 • k = 0: V512 ( cos 2 (cos (-) (–)) = 2 cos () – 2i sin () + i sin 3 COS 9. +…

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Q: 10. If h(x) = x²2cos 2x, then h'(1) = A. 4cos 2 B. 2· 2cos 2x (1 + In 2) C. 21+cos 2 D. 21+cos 2 (1…

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

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Q: 26. The general solution of the equation tan (2x +) = i is A 2x = nn - в 2х пт +- C 2x = nn + D 2x D…

A: We find general solution of given equation

Q: 18) tan 3x 24) 2sin? 0 3(1-cos 0) 4 25) sin (20)= co cos O 19) cos-x X- cot 26) 4 cos B = 1 + 4sin B…

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Q: If y (1+x2) tan-k - x then y is equal to (A I+ tan-x tan-(-1) none D 2x tan-x B.

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Q: ky and k is a nonzero constant, then y could be (A) 2e*y (B) 2e (B) (C) e+3 (D) kty+5 2. OD OB ョ0 O…

A: 1. dydt=ky and k is nonzero constant.2. dydx=cos(2x)

Q: 2csc 0--cos Ocsc 0 + cos 0+2csc 0 a 5x Sa 7a A) 4 3 4 3n B) 0, 4 7x 4 T 37 C) 2 2 3 5x D) 2 3

A: cosθ=0 implies θ= (2n-1)π/2 , n is any integer. cscθ= 1 implies, θ=(4n+1)π/2 , n is any integer.

Q: +1+C ,c.÷+ Q1: Choose the correct answer of the following 1. [ sin x dx is a. cos x+ C, b. -cos x +…

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Q: Solve tan? x csc° ydx = dy. tan x = - cos y + [(cos³ y/3] + c O tan x - x = - cos y + [(cos³ y/3] +…

A: We will find out the required solution.

Q: fe" cos 2.xdr Ans. e"(2 sin 2x - cos 2x)+C 1) 5 Jsin 4ysin 2 ydy Hint let sin 4y = 2 sin 2 ycos 2 y…

A: Hello. Your question has more than one parts, So we will solve first question only. If you want rest…

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.