Consider the equation (y² – 2x)dx + (2xy + 1)dy = 0. The general solution is ... xy² – x² + y =€ A ху? — ух? + у -0 B xy? – x² + y =2

Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

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Q: y = e3x-2y +x² . e 2y

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Q: The equation y3=3Bxis the general solution of

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Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

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Q: exi solve the Disserentail equatione using homogenous method (x₁² + y) dx-xdy -o

A: given differential equation

Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: The solution of the  equation 2y = 5y - (18/5) is

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Q: x² y² + (y²) ² y" = = U C

A: We are going to solve this by substitution method

Q: d5y - 2 dx5 d³y d?y - 2. dx3 dy - 2y = 0 dx2 dx

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Q: Solve (2y +5)dx = 6dy O a. y = 3In(2x+5)+ c O b. x = 3In(2y +5)+c x =- In(2y+5) +c O d. x =…

A: Given that          (2y + 5)dx = 6dy Now we solve this differential equation.

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

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Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: 5x-y2 2xy+3y2" c. xy? - 2x5 + 3y³ = C d. xy? + x5 + y3 = C 29. Find the general solution in implicit…

A: We have to find solution of exact differential equation.

Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

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Q: -x-1)dx= -e-2 А. 2e е-2 В. C e+2 2e Зе- 2 D. 2e 2e

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Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: dx 4. J、マ-6x+13

A: 4. Given integral:

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: Find if y=e²x + 2ex+x²e + e² dx

A: y=e2x +2ex+x2e+e2

Q: 3-(2x-45y)dx +(5x+33%}) Ayzo

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation…

Q: y³ (x + 2y) = C²y

A: The solution is given as

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

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Q: (D²-2D-3)y=64xe³x

A: We have to solve the given differential equation.

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

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Q: (Зх — Зу+ 4)dx + (x — у)dy %3D 0

A: Given equation is (3x-3y+4)dx+(x-y)dy=0 This can be rewritten as, dydx=-(x-y)(3(x-y)+4) Take…

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: 2. Solve (y + x²y) dy dr = 1

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Q: (03 • 20 +D• 2) y =0

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Q: Solve ÿ + 6ỷ + 9y = 0 dy + 2y = e-4 dx d²y + y = 0 dx2 dx²

A: Note : There are multiple questions. Here is the solution of first question. Given differential…