Using the substitution x= X -3 and y= Y-3 show that the equation dy y+3 dx x+y+6 can be reduced to a homogenous equation. Hence, find the general solution.

Q: 4. (у- 2ку + 6x) dx - (x?- 2ху + 2) dy -0

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Q: Obtain the general solution using separation of variables ye 2x dx = (4 + e2x)dy

A: The given differential equation is y e2x dx=4+e2xdy Solving the differential equation by converting…

Q: Solve this differenttial equation.   By help of integrating factor. (3xy+6y^2).dx+(2x^2+9xy).dy=0

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Q: Knowing that at x-0, y-2 and =0 , find the specific solution of Y+3-4y=e" dx dx² dx

A: The given differential equation is,d2ydx2+3dydx-4y=ex

Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: Obtain the solution of the dy 1 1.x- + y = dx dy y2

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Implicit definition- solve for dy/dx 4x^2 +y^2+2x-3y+2x^3y=2+6xy

A: Here we will take derivative both sides with respect to x and then apply chain rule.

Q: What is the general solution of =? %3D dx y2+1 What is the general solution of (y + 1) = 2x? %3D…

A: (As per bartleby guidelines, for questions containing multiple subparts, only three subparts will be…

Q: Obtain the general solution to the equation. dy (x2 + 18) + xy - 6x = 0 dx The general solution is…

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Q: Find the general solution of dy/dx= xy-y/x^2-5x+

A: To find the general solution of the below differential equation. dydx=xy−yx2−5x+6

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

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Q: Find the general solution of dx -3 y=2cos3x . dx

A: The given differential equation is. d2ydx2+2dydx-3y =2cos3x This can be written as, D2+2D-3y=2cos3x…

Q: Find the general solution of : (x² - y² )dx + 2xydy = 0

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Q: 3. Solve (x+y-1)dy = (x-y-3)dx

A: Given that(x+y-1)dy=(x-y-3)dxTo find solvesolution (x+y-1)dy=(x-y-3)dxdydx=x-y-3x+y-1Now x=x'+h and…

Q: Solve for the general solution (4ху +3у — х) dx +x (x+2у) dy %3D 0

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Q: The general solution of V – 2x)dx+(2xy+ 1)dy=0 is?

A: (y2-2x)dx+(2xy+1)dy=0y2dx-2xdx+2xydy+dy=0y2dx+2xydy-2xdx+dy=0d(xy2)-2xdx+dy=0Now integrate both…

Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

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Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

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Q: Find the general solution of y°dx+(3xy + y² =1)dy = 0 %3D

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Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d'y + 9x2 + 6x dx2 dy 6y = 1+ x3 dx -

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Q: Find the general solution of (3xy-y²)dx-(x²-xy)dy=0

A: As the equation is homogeneous , put y=vx and solve .

Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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Q: dy -y² = yx+x² dx

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Q: General solution of (x²y³ - 11) dx (x²y³²) dx + x³y²dy = 0 1+9x², General solution of dy = tan²(x +…

A: This question is related to differential equations, we will solve it using given information.

Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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Q: Find the particular solution: (y4 – 2xy) dx + 3.x² dy = 0; when x = 2, y = 1 %3D

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Q: Solve the particular solution of (xª + y³)dx – 2x° dy= 0 when x = 2, y = 3. -

A: We can rewrite the given equation as,  (xy+y3)dx = 2x3dy xydx+y3dx = 2x3dy

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

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Q: x² - y² + xy dy/dx =0  What is the general solution of differantial equation

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Q: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

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Q: 2. (бх * у) dx +у (2х - Зу) dy 3 0

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Q: (x + 2y – 1) dx - ( 2x + y - 5 ) dy = 0

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Q: z = xy dy x + y = 2x/1-x²y² 2. Using the substitution change the "dx to a separable equation. Hence…

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Q: 4x − 5y + 3)dx − (2x − 3y − 1)dy = 0 how solve this problem?

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Q: 3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

A: Take integration on both side and then put initial value

Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: Find the general solution or particular solution. 1. dy = (x-3y)dx 2. y'%3х- 2усоot 2x 3. (Зх- 1)…

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: SHOW THE COMPLETE SOLUTION. 1. Find the particular solution of y(x2 + y2)dx + x(3x2 − 5y2)dy ;…

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Q: Determine the general solution of y = (3y³ + x) dy/dx & give the method of solution

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Q: Find a particular solution: (x2 + 6y2) dx – 4xy dy = 0, when x = 1, y = 1

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Q: 1. Find the general solution of 3 + = y*(2x*) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the General Solution 1. 2(2xy + 4y -3)dx + (x+2)2dy=0

A: 1) 2(2xy + 4y -3)dx + (x+2)2dy=0 Repost the next parts.

Q: Solve for the general solution. (x + y) dx + (3x + 3y - 4) dy = 0

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Q: Substitute y=y1+z  and dy/dx=dy1/dx + dz/dx into  dy/dx = P(x)+Q(x)y+R(x)y2 to get a Bernoulli…

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Find the general solution of: (x² - y2)dx + 2xydy = 0

A: Here we have to solve the differential equation.