Solve the fo llowing D.- E y + y tan X Cos X %3D

Q: Solve the given diffential by variations of parameters 1. y" + y = cos x

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Q: find the value of the constants a, b S"L cos(x + 2y + 3z)dzdydx = TT a

A: Triple integral

Q: What is csc a if sec a = -4/3 and tan a< 0? А. В. С. D. 4V7 V7 4V7 V7 - 7. 4. 7 4

A: We need to find cscα if secα=-4/3 and tanα&lt;0? A. -477 B. 74 C. 477 D. -74

Q: Q5-Find for x? + cos(xy) = y dx

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Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base…

Q: Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

A: The given differential equation is y''+y = sec x

Q: S"(e*sin²x – e**cosx) dx B)

A: The formula of integration using by parts:       ∫fg' =fg - ∫f'g

Q: Solve the following by Substitution Method. (show complete solutions) a.) y(x tanx + ln y)dx + tanx…

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Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: T/2 S sin? x cos5 x dx

A: Topic = Integration

Q: 1 (d) y = V5 + cos z estion.

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Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: dy b) Solve cos?x+y = tan x dx.

A: In this question we have to solve the differential equation.

Q: The solution to the equation is * y'(x)- 2y'(x)+ y(x)-cos(x) slad Ja sin(x) - y(x) =c,e" +e,xe"…

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Q: x'cos² ydxdy tan y sec y

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Q: 4Find dy/dx for: y = sec?x - tan?x b- y = sec -x) C- y = sin(tan(3x))

A: Since, you have posted multiple questions and the questions marked by you has multiple sub parts ,…

Q: tan x- 2x°y = c 3

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Q: dy cos?x = -(tan x)y ;y(0) = -1 b) Solve %3D dx

A: Given that: dydx-cos2x=-(tanx)y; y(0)=-1

Q: The solution to the equation is y'(x)-2y'(x)+y(x)-cos(x) slad

A: Let us consider the given differential equation y''+ay'+by=Q(x) To solve the equation  Take the…

Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: d?y 1ay +x² cosx +x² cos.x x( dx x> 0. dx?

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Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

Q: dz dz and ду Suppose z is a function of r and y, and tan Vy? + x2 = z"e6y. Solve for

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Q: . Solve the given equation by simple substitution. (2x + y)² dx - 2dy = 0 O x + Arc tan 2x+y = C 2 O…

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Q: 2 x If y = x¯e" sinx,Find d

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Q: yx cos x dA

A: Known facts: If a, b, c  and  d are constants then ∫ab∫cdfx gy dy dx = ∫abfx dx  · ∫cd gy dy. ∫xndx=…

Q: Solve the equation: dy dx - (cot x) · y = (cosec x) y

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Q: (a) / V#(x + 4) dx (b) /; da 5 /4 tan x sec? x da 0,

A: Here we have to integrate the given problem.

Q: Find the solution of the equation cos y ax' ay? which tends to zero as x> o and has the value cos v…

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Q: (c) [ e sin(x²) dx < e –1. Show that

A: Solution of question as follows

Q: c) Sa* sin*x dx

A: To evaluate : The integral  ∫π43π4 sin4 x dx .

Q: Given: f(x,y) = x³y – y cosh x" Solve for D132

A: Given:                   fx,y=x3y-coshxy To find: The value of the partial derivative D132.

Q: Find d?y if y = t sin? 2t and x = cos? t dx2

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Q: Solve the following D. E y' + y tan x Cos X ニ

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Q: sec 2a cos? ydy – r (1 – sin y) dx dr = 0 COS

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 2sinx (x)cos (x)dx = (a) (b)를 (9); (d) (e) Nor a

A: Since you have asked multiple questions in single request.so we will be answering only first…

Q: sin?y dx + cos²x dy = 0 ; y (÷) =÷

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Q: Q6// Solve the equation: y cos? x dy + sinx dx = 0.

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Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: d'y Find if y = 5 sin x cos r. da2 d'y %3D da2

A: We will solve the following.

Q: (D² – D − 2)y = cos x

A: Here is the solution:

Q: (y – cos?x)dx + cos x dy = 0

A: Simplify the given differential equation in the form of linear differential equation than solve…

Q: Solve (cos?2x)dy3Ddx Sec2x(tan2x) O a. y= +C O b.y= Sec2x + C 2 %3D Oc.y=tanx+c tan2x O d. y=- + C 2

A: Rewrite the equation to separate the variables. 1sec22xdy=dxdy=sec22x dx

Q: Suppose z is a function of x and y. and tan Vy? + x² = 2"e6y dz dz Solve for and

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Q: (b) If y = sin (m sinhx), find the value of (yn)o ·

A: Given   it has to find nth derivative at .

Q: y 3x+ 6 cosx, 0 £xs 2n

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Q: L, 4x(1– x²)dx S 2 i) ii) -) dx ? (х + Sin?x

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Q: J ? x sin 2x dk

A: This integral can be solved by the method of integration by parts which is given by

Q: Solve (D? – 3D + 2) y cos (e-)

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.