12. Find the general solution of ydx + (y³ + x)dy = 0. а. ху + y3 = C 3 b. ху + с. ху? + xy4 C %3D 4 d. xy2 + хуз = C 3 I| ||

Q: y 2x + -4x - У Зу

A:

Q: 1. (3ху + Зу — 4)dx + (х + 1)2 dy %3D 0

A:

Q: (x- 2)² +(y– 4)² = 9

A: Our Aim is to plot the graph with the help of equation given below:-(x-2)2+(y-4)2=9 -(i)

Q: 23. Find the standard form of the equation. 81x -162x +36y² – 144y – 2691=0 (x-1)° , (v– 2)* - 1 [A]…

A:

Q: Solve for the general solution : (4xy+3y² – x)dx + x(x + 2y)dy = 0 Select the correct response:…

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Q: Which of the following is an implicit solution? 1x2 + y? = C а. 2 d²x b. dt2 = 2t4 x2 с. у — | 2 d²y…

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Q: Find the solution of 4x²y" — 4x²y + y = 0, x > 0 of the form Y₁ = x¹(1+c₁x + С₂x² + c3x³ + ...)…

A:

Q: Find the solution of the given PDE's using the separation of variables. O²y ду + 2+2 дх2 1. 3. ди ду…

A:

Q: If a(b + x) + y = z, solve for b (= - y) atz ziy-a a (z-v) a (y + 2) a (v (2) 20 B +x

A: To find the value of b.

Q: 3. Find the general solution of 2ху? + 4 %3D 2(3 — x?у)у'. А. X2у2 + 4х — бу %3D С B. x²y? – 4x – 6y…

A:

Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

A:

Q: 7. (x − x² - y²)dx + (y + x² + y²)dy = 0. -

A: As students asked to solve only question 7. So we solve only 7th question.    In this question,  we…

Q: 1. -1 1 f(x) -6 3 6. 3 -6 A. y = 3x2 + 3 В. у %3D-3x2 + 6х + 3 C. y = -3x? + 6x – 3 D. y = -3x2 - 3…

A: To choose the correct function:

Q: 18. Find the standard form of the equation. 36x + 288x+64y² -768y +576= 0 (x-6)° ¸ (v+4)² _ [A] 1 36…

A: Given equation

Q: а. Иух — их + uy — и — 0 Uyx Их + иу — и — 0 и 3D

A: Solution a: Given partial differential equation is uyx-ux+uy-u=0 Let ux=D, uy=D'…

Q: C. 6y = 3x3 – 2x² + x + 6e¬x? y' = x³ – 2xy when x = 0, y = 1 B. 4y = 2x2 – x + 3 + e¬*² A. 2y = x2…

A: Given y' = x3-2xy when x=0, y=1 y' +2xy = x3  Formula: ∫ex dx=ex∫xndx =xn+1n+1 For the differential…

Q: 7. Find the general solution: y(x? + y²)dx + x(3x² – 5y²)dy = 0 a. y³(y² – x²) = cx b. 2y3(у2 — х?)…

A:

Q: 2y Solve (3x² + e ²¹) dx + (2xe ² − 4y) dy = 0 A B x² + xe ²y = 2y² = C 2y - D x³ + xe ³y - 2y³ = C…

A:

Q: 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D 0

A: As per bartleby guidelines we only give first question answers.

Q: If C = 3x + 6 x [³y + 4z 2+²]·D= [32¹] and C = ,D -y z+

A:

Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

A:

Q: Find C so that y(x)=C(1-x2) a.  y(2)=1 b.  y(1)=2

A: To find the value of C so that y(x)=C(1-x2)...(1) with the given initial conditions.

Q: 5. Find the general solution of (x + y + 1) dx + (x – 3y - 7) dy = 0 %3D x? - 3y? + 2xy + 2x x? +…

A: To find the general solution of the given differential equation

Q: у" + Зу' + 2у %3D 4ex

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the general solution of the following differenti (а) (b) у Ах-(x-Ux2+y2) dy=0 (4x3-y2)x -…

A: Differential equation