cos²x .2 + y = tan x dx dy

Q: dy y Cos x 2 dx = 2+ tan n %3D Solve COS 2

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Q: 3." x cos? y dx + tan y dy = 0 x? cos? y +1 k cos y 4.

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Q: 5. Find : 60 y= (b) y = cos (11x³ + 5x). dx

A: SOLUTION-

Q: b) y" + 2y' =4e' (sin x + cosx)

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Q: 3) eYsinx dx = cos?x dy 4) y' + (÷) y = xy?

A: First question we can easily solve using veriable separable method. Second question we can use from…

Q: Specific answer please thank you.

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Q: Find (d y/d x)& (dy/dx²) ex cosxy = y

A: To obtain dydx, apply chain rule and differentiate with respect to x on both sides of the equation…

Q: d²y dy and - dx B) Find if x = sin? 3z and y = tan 3z dx2

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Q: d²y c. Find dx? if y= sin’0 , x= cos’e

A: We have y=sin3θ    and x=cos2θ We need to find d2ydx2 Now,  dydθ=3 sin2θ ddθsinθ=3 sin2θ cosθ dxdθ=2…

Q: 1. cos?x sin x dy + (y cos³x – 1) dx = 0

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Q: TT b) F /1- 1 – cos (2x) dx 2

A: Topic-Integration

Q: Evaluate the integrals

A: Given : ∫01∫2y24cosx2dxdy

Q: D- y" + 2y' + 5y = 6e2* + x sin? x + e*cos 2x %3D

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Q: d. y=cos° (x² +3) s" (x² +

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Q: x'cos² ydxdy tan y sec y

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Q: cos2ydx + tan y dy = 0 x = 0; y = 9

A: Here we have to solve the given differential equation

Q: (x* +y' )dx+(2xy+ cos y)dy

A: Follow the procedure given below.

Q: dx - (1 + 2x tan y) dy = 0

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Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1…

Q: ysin2xdx-3y°cos?x dy -0

A: The given ODE is: y3sin(2x) dx - 3y2cos2(x) dy=0 This can be evaluated as follows:

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: VE-1 x= sec?t b) Find for y = dx sint

A: y=t-1sintDifferentiate w.r.t 't'dydt=sint·12t-1-t-1…

Q: 5. (D² + 25) y = sin x + cos 2x

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Q: 5. sin x cos? y dx + cos? x dy = 0

A: As per the guidelines, we are suppose to answer only one question. Please repost the rest of the…

Q: メ tan y.dx イ X" dう ニ ○ 2(ty')

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

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Q: ydy=y^2 (xy^2 cos2x - tan2x)dx

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Q: dy If y = tan-'(cos x), then- dx II

A: Given : y = tan-1cosx

Q: -. sin x cos? y dx + cos² x dy = 0; if x = and y =

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Q: Find dy : (a) y = cos(1 Ix + 5x) dx

A: Topic:- calculus

Q: dy 12. Find if cos(x + y) = sin(x – y) dx

A: We will find dy/dx

Q: cos ax -dx = te' 2 х* +1 ле",а 20.

A: In this context, prove ∫-∞∞cos axx2+1dx=πe-a,a≥0. Consider, ∫cfzdz=∫-∞∞cos…

Q: (y3-y? sin x - x) dx + C3xy? 2y cosx) dy = 0 2 +

A: On solving this differential equation we will get

Q: Find the dy/dx: Given tan (x²) y =

A: Differentiate with respect to x.

Q: - Ixy cosx? - 2yy t|] dx + [ Sin x? - x2] dy= O

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Q: 1) x cos?y dx + tan y dy = 0

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: y = (6x° + tan(x)) dy Find dz dy da ||

A: we have to derivative

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: d’y Find dx? 2 2 1. y = sin 2x +cos x

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

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Q: 2) x dy = (y + x cos? (2))dx

A: Reduce it homogeneous differential equations and solve it.

Q: S' SE x² cos(xy)dxdy

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Q: y = e* cos x²

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Q: dy |=x+y. dx Solve: sin

A: Using method of equation reducible to variable separable method.

Q: 6) Í y cos xy dxdy 00

A: Please refer the attached image for complete solution.