2 sin? 11. y = 3x 2x2 12. y = cos°V2x – 1 3. 13. у %3D Vtan(х?)

Q: Question 3 What is the general solution of 6y(2y sec2r + tan2r)dx = cos2r(4y- 3sec2x 18y tan2x)dy ?…

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Q: 2. One of (a)-(c) is incorrect. Find and correct the mistake. (a) - sin(y³) = 2y cos(y?) (b) dx…

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Q: The appropriate trigonometric substitution for * dx is V3x-x 3 3 X ==+ sin 0 2 2 sec 0 4 2 O Option…

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Q: 4T then 3 If 0 = sin(0) = %3D Give exact value.

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Q: x = cos(30), y = 2 sin(0).

A: The parametric equations are given as, The the corresponding derivatives are calculated as,

Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

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Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

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Q: 4-1{ 1 s(s? + 4 ၂။ sin2t.dt

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2y у'+ — х?у? sin x %3D

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Q: S (1) Find the general solution of the equation IC sin x+ 6. 2 cos x %3D

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Q: 8 Find L-- 8s2+6 sin Vt cos Vt COS V V등 sin y응t COS

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Q: 19. y = -3 cos 2x 20. y = 5 sin 2 AAMA A

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: sin(4(t – w)) y(w) du = 9t?.

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Q: cos(3t) sin(8t) dt

A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: 1) x² sin(y') + xe2 – cos(z?) = 3y– 6z + 8 cos(z?) = 3y – 6z + 8 %3D -

A: Given; x2siny3+xe3z-cosz2=3y-6z+8 Now differentiate partially with respect to x we get,…

Q: ∫cos(3t)sin(8t)dt

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Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

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Q: -2 S(V2r – 1)2 dr | cos(r) | dx COS

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Q: 3 r = sin 0 + 6 cos 0 О За? + (у — 3)? —— 1 %3D 6æ² – (y – 3)² = 1 D y+6x = ! 1 3. Dy+6x = 3 у+ 3х —…

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Q: 1 =dx = V81-(3x+5)? 2 3x+5 -tan- (***) + c 9 o 음sin-1 (3g5) +c 9 o tan-! (**5) +c o sin-l (초5) +c…

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Q: 5. ) Using the Method of Undetermined Coefficients, give an appropriate guess for y,. y(4) + 9y" =…

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: i sin°Hcos* () .3x, sin°cos* dx 10. 3 10

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Q: 1/2 sin 12 y cos' y dy y

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Q: 3. Determine a root of the equation sin(x) + 3 cos(x)-2-0 Using the Secant method correct to five…

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Q: the solution to the given equa y" + y' – 2y = cos(x) – 3 sin(: -

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: i) L-- (In) L- | s-3 6s+3 ii) L-1 iii) L(tet cos wt) s+1 sª+5s2+4,

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Q: cos 3x b. S; dx = ... 3+15 sin 3x

A: We have to solve the given integral .

Q: dt 1. cos (2 sin 2r) V1-4r

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Q: のSX 3 +23 +5y +5y = e + 40 Cos loX-190 Sin lox

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Q: Solve SS sinedx dy=

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Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: 4. Solve the initial value problem (cosy)y' = sin²x cosx , y(0) = Give the solution implicitly. %3D…

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Q: 4. What is the form of y, given (D² + 9)y = x + tanx? A. Yp = V,sinx + vzcosx B. Y, = v, sin3x +…

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Q: æ' = y – 5 sin (3t); y/ = -4x + 17 cos (3t) , ift = n, x = 7; y = -4

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Q: 2) x³y? = 2x + 2y3 3) y = sin?(x) – cos³(2x) + 2 www. .

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Q: 7. y" + y = 3 sin(2r) +t cos(2t)

A: The general solution of an ordinary differential equation of the form;…

Q: Solve by Bernoulli's Equation 2. sin y(x + siny)dx + 2x?cos y dy =0

A: We find the solution by Bernoulli’s Equation.

Q: y = cos 3x a. 3 sin 3x b. - sin 3x c. sin 3x d. -3 sin 3x с.

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Q: (a) y" + 3y' – 2y = -e2" (5 cos 2r + 9 sin 2a)

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Q: 4. For any angle 0, Therefore: sin (0) = cos(0 - π/2) cos(0) = sin(0 + π/2) sin(0) has a phase shift…

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Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.)…

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: 1. Solve: sin z cos² y dr + cos? r dy = 0, y(0) : (separation of variables)

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Q: Find the solution of the equation =e COs y %3D hich tends to zero as x 0o and has the value cos y…

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh'(15)+cosh (31)

A: according to the guidelines of bartleby I will do only first question please ask rest of the…

Q: 5. S sin(3x)dx (a) 3cos(3x)+ C (b) †cos(3x)+ C (c) – 3cos(3x)+ C

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Q: 2. Is it possible to write sin (37x) as a linear combination of sin(2rx) and sin(Tx) for all values…

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