y sin 2x + cos 2y = ax Find y' a – y cos 2x y% = sin 2x – sin 2y а - 2у сos 2x y sin 2x – 2 sin 2y %3D a + y cos 2x y sin 2x + sin 2y %3D a + 2y cos 2x sin 2x + 2 sin 2y %3D

Q: Select Select x sin [y/x=c] 2x+y In^2 [x=cy] x+2y-5 In [(x+y+4)=c] x^2-3xy+y^2=c_ y^2+xy=cx None of…

A: We have xxdy-ydx=y2lnx dx We can write this as: xxdy-ydxy2=lnx dx⇒xdy-ydxy2=lnxx dx⇒-ydx-xdyy2=lnxx…

Q: X = cos 2t, y = cos t, 0 <t< n

A: given x=cos2t and y=cost interval 0&lt;t&lt;π  dx/dt =d/dt(cos2t) dx/dt=-2sin2t And dy/dt=d/dt(cost)…

Q: 2- S x. Sin (5X) dx : Cos (SX) Cos (SX) Cos (SX) XSin (SX) XSin (SX) 25 25 25 P+9 P+9 P-9 3- L{e.…

A:

Q: عو + Y¹" + 3 Y" + Y' + 22 = 0 general Solution : Y = C₁ cos ax + C₂ Sinba + exp(-22) (C₂ Cos √ 1+1…

A: The auxiliary equation

Q: y" + 4y = 2 sin 3x + 3 cos 2x Find the solution y(x)

A: Given differential equation We have to find the solution of the differential equation.

Q: If y = cos x + sin 2x, find the value of y" - y + 3) O 2 cos x + sin x – 2 cos 2x – sin 2x O 2 cos x…

A: Given that: y=cosx+sin2x

Q: Find y' where y = tan(11a? + 8) v173 + 17 Answer: 51a2 y/ = sec2 (22æ)\/172³ + 17+ tan(11a² + 8)…

A: I have used the rule for composition of function and multiplication of functions

Q: Find the general solution of the system of equations 2 -5 x' 0 = - ( ² = ₂ ) x + ( cost), 0 < t < *.…

A:

Q: If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4…

A:

Q: 23. Integrate: S x+2 dx 2 A. V1– x² + Sin-1x + C C. -V1– x² +Sin-1x + C B.V1 – x2 +Sin-1x + C D. –V1…

A:

Q: Find Domain and Range бяц tue Ⓒsin (x+3) +2y x²+2y 3x + y² 3) 3x + Sin (3x) +2y+Z² Ⓒ x+2y cos2x…

A:

Q: Find y @) y ² y's SX-2 Sin (x) b) 2 Y = 2 cos (x)-x

A: To find the derivative each of the following functions. (a) y=5x-2 sinx (b) y=2 cosx-x2

Q: linear or not linear? 1) dy 1ax +exy = x²4² dx 2) y + e* sinx= x³y² 31 y\nx - x²y = xy! 4) dy + cosy…

A:

Q: Find y' if y = 5x sin x. O A. y' = - 10 cos x+ 5x sin x B. y" = 10 cos x- 5x sin x C. y' = - 5x sin…

A:

Q: 23 42 R 1 y=2 sinx 2 y = Which equation is represented by the graph? sin 2x 2 1 y-sin 2.r = 2x 1…

A: we need to find the equation of the graph

Q: Solve dy dx Option 1 - y tan x = -y² secx 1- y = sec² x + tan x + C 3- y = secx + tan² x + C 2 y-¹…

A:

Q: X₁. (x₁, Yr) (x', y') 0 (x, y) X x' = x + (x-x, )cos-(y-y,)sin y' = y, + (x-x) sin 0+(y-y,) cos P' =…

A: Solution:

Q: Find the solution. (у -х + ху сotx) dx + x dy %3D 0 A xy sinx = c + sinx - xcosx xy tanx = ccosy…

A:

Q: dv +w + v = 5 In solving differen tial equation system dx v(x) =? dw dv 9v = 10e*, dx dx A) v(x) =…

A:

Q: 4. (sin y - y sin x) dx + (cos x +x cos y- y) dy = 0

A: Note: As per our guidelines we are allowed to solve one question

Q: S -1 sin y³ +1 2 dydx

A:

Q: In implicit differentation problems it seems we treat x and y differently. For example, when we…

A: Recall: Chain Rule of differentiation :    If F(x)=f(g(x)) then ,   F'(x) = df(g(x))dx =…

Q: dy 1. dx = 6y d y 36у dx2 dy = -36y dx2 2. 3.

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. So, we will answer…