Question 22 What is the General Solution of (2 y3 – x³) dx + 3x y² dy = 0? (A) B 2 3 4 x ² y = 3 5 x y 2 = 5 x ² y 2 5y3 3 = x + + C x 5+ C x ³ + C 5 = x² + C

Q: Obtain the general solution. (xy)dx + (x² + v²)dy= 0 OC- 2(x2 + xy + y?) OC- y^(2x² + y?) OC = y(2x2…

A: Given (x.y)dx + (x² + y²)dy = 0

Q: Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

A: given  (x-2)236-(y+1)264=1standard form of hyperbola is  (x-h)2a2-(y-k)2b2=1hwer centre is  (h,k)

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A: This is a homogeneous differential equation.Substitution x=vy .

Q: If y = = O O O O 4x x-3, then 12 (x-3) -12 (x-3) -12 (x−3)² 12 (x-3)² dy dx

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Q: x3 - 27 dx x - 3 Find the antiderivative of 3x2 A 9x + C .2 3x B + 2 + C 3 3x C) + 9 + C D x3 - 3x2…

A: We have to solve the integral

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Q: 6x² – 2x +5 dx? "hat is 2x + 1 (A) 2 15 + 2 In |2x + 1| + C 2 3 5 15 -x + 4 In |2r +1| + C (B 2 3 15…

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Q: What is the general solution to the equation (4x – y²)dx + y(3y – 2x)dy = 0? A. 2x? – x²y + y²/2 = c…

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Q: he The general solution 2y+3 In|x+y-2=c (x+ y+1)dx +(2x+ 2y–1)dy = 0 to the equation True False

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Q: Suppose x andy are variables satisfy the equation x2 - y = 12. What is 3x3 dy A %3D dx 2y dy 3x4 dx…

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Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) C xy²=c(2xy) D x+y²=c(2xy)

A: Let us consider the differential equation of the form dydx=f(x,y). Such that f(x,y) is a homogenous…

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: please answer ty

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Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

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Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: Question 6 (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp a. °C ₂₁e² + c₂e²t. O b. -2x "C₁₂e-x + C₁₂e-² C. O…

A: Ode

Q: dx xy+3x-y-3 dy xy-2x+4y-8

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Q: What is the general solution of ху(ху? - 1)dx + х?(1+ ху) dy3D0 ? A 2x3y5-3x2=c B 4x³y7 +3x? = cyA ©…

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Q: D= dy

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Q: 3. (2x2 + 2)dy + xydx = 0

A: (2x2 + 2)dy + xydx = 0

Q: $ーザ+24 to

A: Note: As per our company guidelines we are supposed to answer only first. 5) In this question it is…

Q: Integrate I x² √x6 +25 dx + C

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A: