Find the general solution: yy" = 2(y')². Select one: O a. Y cos (x)x + e2" sin (x)x ln sin x O b. y = 1/(c1¤ + c2) O c. y = x3.5 (cı + c2 In ]x|) + 4x° O d. y = 22 -3x O e. y = (c1 + C2 x)e¯3 + ;e¯34 3x2 + 4x – 2 -

Q: Find the particular solution : y" + y" +4y sin2x sin2x (b) Yp =sin2x (a) yp = - (c) Yp =- cos2x ()…

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Q: Solve: (2y cos x + sin* x) da 4 = sin x dy O y csc x + cos ¤ = O y csc x – cos a = C O y csc? x +…

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Q: (6) [²/2 sin² (2) cos2 (x).dx = A) 플 B) 플 C) 미플

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Q: If x'y" + xy'+(x? -y=0 x>0 ,y,=x 2sinx , and y=y,v. Which of the following %3D equations satisfied…

A: Let   y1 and y2be two solutions of the second-order linear differential equation d2ydx2+Pxdydx+Qxy=R…

Q: b) Solve to find if y = Tant VE and t = 4x-2 – secx dz b) if z = sin20, and 0 = [cos(w) + 1]² + cos…

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Q: Find dy Y= #an" (=) + cos "(sx) + CoS

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Q: If x'y" +xy' + (x2 - -0 x>0 , V1=X 2 sinx and y=y,v. Which of the following equations satisfied by v…

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Q: The general solution of dy/dx-2/x y=(y/x)^3 sin [x] is y^(-2)=1/x^4 (2x cos [x-2 sin [x+c)] O A.…

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Q: I need the answer as soon as possible

A: As we know that, eiz=cosz+isinz                   ...(1)And,e-iz=cosz-isinz                ....(2)…

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

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

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Q: (Yp)for y2) + 4y = 3cos2x ;is %3D اختر احدى الدجابات a. y = c, cos2x + C2sin2x b. y x2(Acosx +…

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Q: y" + 9y = e²* sin(x)

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Q: Show that Y + y = 0_given that y=2 sin x + 3 cos X y"

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: Given z(x, y) =In(2xy) where x(u,v)= e" cos(4v) and y(u,v)=e" sin(4v). Find ди 1 cos (4r)+-sin(4v)…

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Q: If x³y" + xy' +(x? -y=D0 x>0 ,y,=x sinx , and y3V,v. Which of the following 3 equations satisfied by…

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Q: ry"+xy'+(x* -y =0 -)y = y = x cosx is a solution of the equation Show that

A: Given               x2y''+xy'+(x2-14)y=0                      (1)

Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

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Q: (2 sin(y)) dx + (x y cos(y²)) d y = 0

A: Variable separable differential equation

Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: D. 1. If (x + y)² = x² + y² 2. If y = sin³ () cos³ () dy - dx X prove that y' = sin² (x) cos(x) 8…

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Q: 1. v₁ = (4, −2, 6, −4), V₂ = (6, −3, 9, −6)

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