Determine the solution to this DE: Cosx dy +(y- cos"x)dn = 0 cos? x Idx = 0

Q: What is y' of y = sin¹ (cos x)? O A. y' = ATHE sin + 1-cos² 1 O B. y' = 1 OC. y'= sin z 1-cos² z OD.…

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Q: Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dx %3D dy

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Q: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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Q: Given that y = sin (t) and x cos²(4t*), hence find dx dy

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Q: Find the solution of the equation =e* cos y d ig %3D dy? which tends to zero as x 0o and has the…

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Q: Find the general solution of tan x dx + y cos? x dy = 0.

A: Use seperation of Variables.

Q: Given dy find 36 Cos 6x y' dx sin 6x + c 6 sin 6x + c O-6 sin 6x O-36 sin 6x

A: here option a is true.

Q: Se Ce cos (sin '(x)) COs (sin

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Q: + b¬ + cx = 0 dt lution given by: - (A sin ßx + B cos ß.

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Q: dy d'y dx ' dx? 2. If y = sin 2x – 2 cos 3x,the find, at x 0

A: The given function isy=sin2x-2cos3xto finddydx, d2ydx2    at x=0

Q: S cos“C)dy

A: NOTE: Refresh your page if you can't see any equations. . take

Q: dz Find dy x? sin(2y – 5z) =1+y cos(6za)

A: The given equation is: x2sin(2y-5z)=1+ycos(6zx) To find ∂z∂y, differentiate above equation w.r.t. y…

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: dy If x = a (0 – sin 0), y= a (1– cos 0), then find dx |

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Q: The general solution of the D.E. dy/dx + y cotx = 1 is a. y -cotx + c sin x b. y = -tanx + C CSC X…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: dy The general solution of the DE cos?y is dx A y=tanx + C y=tan-(x) + C у-cos"(x) + с D y= sec?x +…

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Q: dy iven that x = e" cos 3t, y=e" sin3t, show that tan 3t + dx %3D 4

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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: . Find the qeueral solution: - 2 dy +5y = ex Cos 2x

A: Complete solution = complementary function + particular integral.

Q: 1 dx x +c, find- dx exactly where c is a constant. 5. If 1+cos x = tan 2 X 3+3 cos 4 n dx tam S c /+…

A: It is given that

Q: x = a(0 – sin 0), y = a(1 – cos 0). %3D %3D urve followed by the particle as a function of 0.

A: The given parametric equations are, x=a(θ-sinθ)...............(1) y=a(1-cosθ) .............(2)

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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Q: if y^3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: Given,

Q: i. Je* cos(4x) dx

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Q: d'y +2 sin y cos' y = 0. dx 6. If y= tanx, show that

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Q: Solve for the General Solution ds 5s = dt te 5t sin t %3D

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Q: .2 x cos?y dx + tan y dy = 0

A: The given differential equation is  x cos2y dx+tan y dy=0 Solving the the given differential…

Q: sin(iny)dy is equal to * y (A none of these cos(ny) + C y cos(Iny) + C (D) -cos(iny) + с cos((ny) +…

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Q: L(cos at) = %3D s2 - a2 صواب İhi O

A: Given that  L(cosat)=s/(s^2-a^2) To find the condition is true or false

Q: Use the d'Alembert solution to solve 1 0u 9 dx2' u(x, 0) = cos? x, u(x,0) = e"+1. -0 0, t > 0,

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Q: The integrating factor of the equation sec? y + xtany= x° is: dy de In|sina| O None of these…

A: We have to find I.F

Q: cos 2y dy sin y

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Q: A particle moves in the xy-plane so that its position at any time t is given by x= cos(5t) and y =…

A: According to the questionx=cos5ty=t3

Q: The general solution of the DE dx = cos?y is A y= sec?x В y=tanx + C y=tan-1(x) + c y= cos os-(x) +…

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Q: et cos(e') dt = (b) +C 3+4 sin(et) 3/4 sin-1 (c) (승교) dx = 16x?

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Q: The general solution of the DE dx dy = cos?y is

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Q: With the substitution u = sin(x), we get | 11 sin2(x) cos(x) dx = 11 u2 du. u? du. 11 %3D which…

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Q: Determine whether y : y = x2 + 2 d²y sin x + x² is a solution to the DE dx2 %3D

A: We have to check whether  y = sin x + x2 is a solution to the DE  d2ydx2 + y = x2 + 2.

Q: I d²u dv² tan v sec“ V

A: Find your answer below

Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

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Q: Find the solution where y= 1 and dy/dx = 0 when x =0 and describe the behaviour of the solution for…

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Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

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Q: y = C, sin at + C2 cos at, (a not to be eliminated)

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Q: dx Given arccot(sin(2x + y)) + arctan(cos(2x + y)) = 0, solve for dy

A: We have to solve

Q: Find the clerivative of Y. a) y = Sin3x t cos3 x %3D b) y = tan? (x³) c) y=4 sec (5x)

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Q: Let y = 78 cos -e. Find dy using any method. Express your answer in dx %3D terms of x only. dy %3D…

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Q: Let y=4 In(cos(e3). Let y=4 In co: = Aeßt sinC (e3t) Then dt cosº (e3t) where A = B = C = D = I| ||…

A: y = 4 ln (cos(e3t))