Solve the equation 3x(xy – 2)dx + (x³ + 2y)dy = 0 ƏM = 3x2 ду Ne 3x2 Sol/ əx f(x, y) = (3x²y – 6x)dx + T(y) = x³y – 3x2 + y² + C = 0 (The general Solution Not Correct Corect

Q: General solution of 2xydx+y^2dy=0

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Q: Q4)/ Solve the Following: d²y dy 4x - 6y = x³ + 1 dx² dx

A: See the attachment

Q: 2) (2xy = y² + y) dx x) + (3x² - 4x4 :) dy = +3×

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Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: Obtain the general solution. 1. (D^4 - 5D^2 - 6D - 2)y = 0 2. (D^2 - 2D + 2)y = 0

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Q: Solve a'y' =1-x² + y² - x³y². Final solution must be in an explicit form!

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Q: Solve for the general solution: (D² - 5D + 6)y = 0. Oy=c1 e^(2x) + c2 e^(3x) Oy=c1 e^(-2x) + c2…

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Q: Solve using method of undetermined coefficients (D2 + 4D + 5) = 13e3x + 50x When x=0, y=0, y'=0

A: Solution is given below:

Q: (2x + 3)y' = y + (2x + 3)/2; when x = –1,y = 0

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Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

A: Given

Q: y" + 4y + 4y = e-2x x²

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Q: Solve xy"- y' - 4x³y = 8x³sin(x²).

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Q: 2) Solve the equation y' = Y 4x²y + x

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Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: Q2: Solve 1- y// + y = secx

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

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Q: Solve د. سامان سایت رندار 4- (3x2 + 6xy2)dx + (6x2y + 4y3)dy = 0

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: Solve for the general solution: 6 D^3 - 13 D^2 + 6 D = 0. O y = cle^x + c2e^(2/3 x) + c3 e^(3/2 x) O…

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Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

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Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the solution

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Q: 5. (D4 + 2D3 + 10D²)y = 0

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Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

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Q: solve it using long method and method of grouping. (2xy - 9x^2)dx + (2y + x^2 + 1)dy = 0

A: This equation is exact. By using exactness we shall solve it.

Q: |(r +x² +x+1)(3x* +4x° + 6x² + 12x + 1) dx (x3

A: Use the substitution method and simplify the integration first then integrate.

Q: Exact equations: Solve * (2x + 3y) dx + (3x + y - 1) dy = 0 O x* + 6xy + y² – 2y = c O y2 + y* = c

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Q: solve 19. (5x' + 4x? – 3x) – (x² + 7x + 2) 20. 3(x – 1) + 4(x + 2)

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Q: \ dx lox-x+15 (2X-1)(x4)

A: use partial fraction  ...................(1) ...................(2) take x=1/2 ..............put…