II. Determine the solutions of the following DE. 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D0

Q: 4. Verify if the following equations general solution: are exact and find the 2 9. 2xydx + (1 + x²)…

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Q: solve the following diffrential c) x²(y+1)dx+(x²-1)(y-1)dy=0

A:

Q: 3. (x² + 6y²)dx – 4xydy = 0 , y(2) = 1

A: Problem is in the form of homogeneous form...so put y=v.x and proceed as I have done solution step…

Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dх + 3(х+ 3у — 4)dy %3D 0 2. (х — 4у…

A: (1).    The given differential equation is: (x-3y+2)dx+(3x+9y-12)dy=0

Q: Find the complete solution to the following diff. equation y ( x2 + y2 -1 ) dx + x (x2 + y2 +1 ) dy…

A:

Q: Solve four questions of the following DEs dx 1- 2 dy x = ey/2 x3 %3D -

A: You have asked multiple questions, we will solve the first question for you. The next question can…

Q: 1. Solve the following first-order equation: (2.ry +3y?)dr - (2ay+a)dy = 0. %3D

A:

Q: 4. Find an implicit solution using the substitution u= or y3ux dy dx x+xy %3D

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Q: Q1: Find the general solution of the following equation. ỹ + 2y + y = cos²x

A:

Q: B. Determine the solution set of the following equations using exact equations. 5. xy dx + (y2 +…

A: Let's find.

Q: B. Determine the solution set of the following equations using exact equations. 1. 3x (xy - 2)dx +…

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Q: Obtain the general solution: 1. (D² + 25)y = -50 sin 5x

A: First we will find the complementary solution corresponding to the homogeneous part of the…

Q: Solve the following Euler-Cauchy type equation: 1 (2²D² + 3xD+ 1)y %3D (1 – x)²'

A: The given ODE is given as: x2D2+3xD+1y=11−x2

Q: Give the general solution of xy²dy = (x³ + y³)dx in explicit form.

A: Given differential equation is  which is homogeneous differential equation.

Q: Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy

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Q: 4- Solution of the following equation 4xy²dx + (x² + 1)dy = 0 is

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Q: Solve for z. If there are no solutions type DNE: 1 -4%3= I- 4 4z - 16

A: x4x-16-4=1x-4

Q: 1-y2 11(x² + y²)10 dxdy .

A:

Q: Obtain the general solution of the following equations:   (x-4y-9)dx-(4x+y-2)dy=0

A:

Q: 1. Solve the following equations: c) (x² - 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A: Given :x2-4xy-2y2dx+y2-4xy-2x2dy=0

Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find the solution of the following equations using method of substitutions. A. (2x-2y+1)dx +…

A:

Q: Q1:- Solve the following DEs:- 1) (1+x²)dy – y²dx = 0 2) y' = x csc y sin x 3) y' = xe4x²–4y 4) =…

A: According to our rule we can answer only first three subparts.

Q: 22/ Solve two of the following D.E- dy + 4 +4y =0 A) dy B) di+2d3 - 3y=6 undetermined coeff.]

A:

Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0 dx 2- y = ex/2

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Q: Show that the equation Əy 2 a3y + 2k possesses solutions of the form 00 -kt E C,e cos (C, x+ E,) cos…

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Q: Solve the following equation dy - 4t+ 6y = t3 +1 dt2 dt

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Q: S.2 „Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it…

A: Given that  (3x+2y)dx+(2x+y)dy=0 To determine the general solution

Q: Q1:-Solve the following equations (choose three only):- 3- x²y + 3xy' + y = 0 4- 2-4x+ 5y = sin3x dx…

A: Given

Q: Find the general solution of the given second-order differenttial equation y" + 18y' + 81y =0 y(x) =…

A: we have to find the general solution of the given differential equation. y"+18y'+81y=0

Q: Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy %3D

A:

Q: 4. Solve the following cifferential equation: (- de + 2 xy dy = 0.

A: (4) Given            (x2-y2)dx+2xydy=0

Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

Q: 5 solve the 1UP: y% 4y(2)+ 3y'= Y1)=e+ % ,uG) = et %

A:

Q: Obtain the general solution: 1. (D² +25)y = -50 sin 5x

A: Using method of linear differential equations with constant coefficient.

Q: d²y 4y 3e2x. %3D dx2 3.

A:

Q: Q1) solve all these first order diff questions with appropriate method of solutions dy _ y²+xy?…

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

Q: II. Solve the following first order DE. (x² + y²)dx + xy dy = 0 4.

A: Explanation of the solution is given below...

Q: 3. Choose one of the following first-order equations to solve. dy (x² + 1): + 3x(y – 1) = 0 dx а. %D

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Q: . Find the particular solution of each of the following. 1. (2x – 3y + 2)dx - (3x + 4y – 5); y(-3) =…

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Q: Solve the following non-exact equation: (3x'y + 2xy )dx +(2x'y' -x² )dy =0

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Q: Determine the general solution for the following: 1. ( 6x2 - y +3 ) dx + (3y² -x - 2) dy =0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the following differentinl equations: 1. (x-y-2) dx + (x – 2y – 3) dy = 0.

A: Solution 1: Given that (x-y-2)dx+(x-2y-3)dy=0 we can write it as dydx=-x-y-2x-2y-3             (1)…

Q: 2. 3(3x² + y² kdx – 2.xydy = 0

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D. Answer:

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Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

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Q: Q1) Solve the following equation with Bern dy X - dx + y = 3x³y3

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Q: Q1:- Solve the following DEs:- 1) (1+ x²)dy – y²dx = 0 2) y' = x csc y sin x 3) y' = xe4x² –4y

A: We have to solve the following differential equations. We will use the separation of variables…