What is the general solution of sin a sin yda + cos zcosydy O sin y + cos z + C O tan = C O sin z = C cos y %3D O sin y C cd r %3D

Q: Let y(x) be the solution for the DE. y+y tan(x) + sin(x) =0 If y(0) = In 2, then at x = the value of…

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Q: = ? |c0,1,1) What is the x' In(=) +sin xyz +e = 0 O a. 0 O b. -2/e O c. e/2 O d. O e. -1

A: We have to find the partial derivative at given point.

Q: | sin ædx =? cos z +c O A. – cos x + 2 cosz - 2 4 O B.-z+2를-를 +c В. O C. cos ¤ – 2 cos" z + cosº z…

A: Consider the given integral. ∫sin5x dx Rewrite the integral. ∫sin5x dx=∫sin4x·sinx dx…

Q: Evaluate: /sin(/x)dx A 2/x sin(x)-2cos(/x)+C B2/xsin(/x)+2cos(/x)+C 2sin(/x)+2/xcos(/x)+ C D…

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Q: dy ? If sin(x + y) = xy, what is the expression for dx cos(x + y) – Y | A х — 1 cos(x + y) – Y B x –…

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Q: | cos(Vx) dx A 2 Vx sin (Vx) - 2 cos ( Vx) + C C 2 Vx sin x (Vx) - 2 cos (Vx) + C B 2 Vx sin (Vx) +…

A: To evaluate: I=∫cos xdx Substitute x=u⇒12xdx=du⇒dx=2udu So, I=∫cos u 2u du=2∫u cos u du

Q: (a). u(x, y) = e- sin y, (b). v(x, y) : = cos x cosh y, %3D

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Q: The solution of y' = cos2(y – x) +1 is given by (A) sin(y – x) - x c (B) tan(y – x) – x = c (C)…

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Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: y" + y + y = 0, y(0) = 1, y (0) = 0 Oet(fcos 1 + sin ) O e (cos t+ sin t) e (cor sin 뿔) cos 5 O e…

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Q: can i get step by step help please

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Q: Find the general solution of sin x cos^2 ydx+cos^2xdy = 0  a. secx + tan y=C b. cos x cos^2 y + y…

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Q: The general solution of + ytan x = sec x is dx A y = sec x + C sin x В у (sin x - 1) %3D С y= sin x…

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Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: If sin(x +y) = xy, what is the correct expression for -? dx cos(x + y) – y (A х-1 cos(x + y) – y (B…

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Q: sin o dB - (sin 20 +B cos o) dộ = 0 O B = csc o (n sin o+ c) O 2B = sin o (In sin o + c) O B = sin o…

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Q: Let y(x) be the solution for the DE. y +y tan(x) + sin(x) = 0 If y(0) = In 8, then at x = the value…

A: The solution is given as

Q: Spot the mistake/s in the solution. Tick the box that applies. Se*cos x dx -e^cas X - Se*sinx dx e…

A: The given integration,       ∫excosx dx

Q: 1. If we are trying to evaluate thef esinx cos x dx, which substitution would be most helpful? А. и…

A: Select the correct option?

Q: 1. y= 10 sin a+ 100 5. y = 14 tan x cos x+10 csc x %3D 2. x(t) = 5 sin t +3 cos t 6. g(x) = sin?r +…

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Q: sin y = 1/2 is equal to y = sin (1/2). %3D Select one: O True O False

A: given that sin(y)=(1/2) then y =arcsin(1/2)

Q: Solve the equation (r + sin x - cos x) dr + r(sin x + cos x) dx = 0. %3D Select one: O a. r^2 + r…

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Q: ds. Where C: X = ó sin(?), y = 6 cos(t), z = 41, 0StS2x %3D Evaluate C O a No correct answer Ob.…

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Q: = ? u=x² +y? +=', x=e" cos 2t, y =e 2t, ==e": O a. e" (sin? 2t -2 sin 2f +41 +16t +2) O b. e" (cos…

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Q: معادله دیفرانسيل جواب عمومی Scul plas (2xy sin²x)y' + x³ + xy² sin 2x + y²sin²x = 0 y? cos 2x + 4 .a…

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Q: What is the general solution of (r +sin 0 cos 0) dr + r (sin 0 + cos 0) de = 0 ? - rsino rcose = C…

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Q: Let y(x) be the solution for the DE. y+y tan(x) + sin(x) = 0 If y(0) = In 2, then at x = %3D %3D the…

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Q: Let y(x) be the solution for the DE. y' + y tan (x) + sin(x) JT If y(0) = In 2, then at x = 4 the…

A: Proceed as shown below

Q: Fnd the exact epressions for sin 0, cos e and tan 0 sin e= (Smpity your answer)

A: We have to find the values of trigonometric ratios.

Q: Let y(x) be the solution for the DE. y +y tan(x) + sin(x) = 0 If y(0) = In 2, then at x = %3D %3D 4.…

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Q: What is the general solution of sin z sin ydr + cos zcosydy =0 tan z = C sin y + cos r + C sin z = C…

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Q: Find the solution. (y - cos?x)dx + cos x dy = 0 A) y (sin x +cos x) = c + x - tan x x (cos x + cot…

A: Solution

Q: 25. Find the general solution of (sin? x)y" – (2 sin x cos x)y' + (cos? x + 1)y = sin' x,

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Q: 13. Find the general solution = sin x + y cotx. a. y = (x + c)(secx + tan x) b. y = (x + c) sin x C.…

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Q: 2. Find the general solution = (1+ y) secx + tan. a. y = (x + c)(secx + tan x) b. y = (x + c) sin x…

A: We have to find out the solutions

Q: 26. y'+y tan x = cos x; y(x) = (x + C) cos x, y(n) = 0 %3D 25. y' = 3x²(y² + 1); y(x) = tan(x³ + C),…

A: 25)y'=3x2y2+1---Iyx=x3+Cy0=0solution:yx=x3+C⇒y'x=sec2x3+Cddxx3+C=sec2x3+C3x2y'x=3x2sec2x3+C---Aputti…

Q: Let y(x) be the solution for the DE y+ytan(x) + sin(x) 0 If y(0) = In 2, then at x= the value of y…

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Q: The general solution of y 'tanx sin2y sin?x + sin?y is A sinx(sin?x-3cos?y) = c B sinx(sin?x+…

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Q: What is the general solution of sin x sin ydx + cos xcosydy = 0 O tan x = O sin x O sin y + cos x +…

A: To solve the given differential equation.

Q: y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

A: Here, the given function is: y=ln(sin x3) Note that, ddx(ln x)=1x , ddx(sin x)=cos x and…

Q: What is the solution of the DE tan? x csc³ y dx = dy? cos³y A. tan x – x = cos y + + c 3 cos³y B.…

A: Here the given differential equation is tan2xcsc3ydx=dy We have to find the solution of the given…

Q: A. sin X = sin Y %3D B. cos X= cos Y C. tan X = tan Y D. sin X = cos Y %3D

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Q: Given: y = xcos (x); Find y". O y" = xsin (x) - 2 cos(x) %3D O y" = xsin (x) + 2 cos(x) O y" asin…

A: Formula:ddx(uv)=u dvdx+v dudxy = x cos(x)y' =x [-sin(x)] + cos(x)[1]y'= cos(x) - x…

Q: y' + (2 tan x)y = cos³ x diferansiyel denkleminin genel çözümü aşağıdakılerden hangisidir? I. y =…

A: We have to solve given problem:

Q: What is the general solution of (x + y) da + tan xdy =0 ? %3D O zsinx + cos a + ysina O zsinx + cos…

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Q: What is the general solution of (r + sin 0 cos 8) dr + r (sin 0 + cos 0) d0 = 0 ? %3D rsind rcose =…

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Q: Consider the integral / sin (x) cos(x)dx. What does it evaluate to? (There can be multiple answers).…

A: We know Sin2x + cos2x =1