4. Solve the equation using homogeneous equation (x– 2y)dx+(2x+ y)dy = 0.

Q: dy The solution of homogeneous differential equation + 7xe x dx -e x = 7x +c -y -e x 7x +c -y е т =…

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Q: Find the general solution of the differential equation y" + 4y/ + 4y =t?e#, t>0 using the method of…

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Q: Solve the non-homogeneous differential equation dy x + y + 3 3x + 3y + 7 dx

A: We will use concept of solving non homogenous differential equation. Variable separable form will be…

Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Given:y''+2y'-3y=0

Q: dx x² + – y? dy + xy +y2

A: The correct option is, x = y tan(ln|cy|), which is option (I)  The detailed solution is as follows…

Q: find the general solution of the homogeneous differential equation with constant coefficients…

A: find the general solution of the homogeneous differential equation with constant coefficients…

Q: ㅂ x dy-y dx = √√x² +5 +6 Find the general solution to differential equations

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Q: (D3 +5D2 +6D) у%3D24e -3х.

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Q: -y dx =1, y(1)=1 dy b. X.

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Q: y(4) + y" = 3t² – 2cost + 4sint - Find the general solution of the differential equation

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Q: dy The solution of homogeneous differential equation dæ + 7xe ¤ 7x + c -e x 7x + c |3| 7x + c -y 7x…

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Q: A- Solve the differential equation: x² -x+ 5y = 0 dx2 dx dz and dx dy given B- Find dz z = xy² +…

A: Q5: A)   given differential equation is…

Q: find the general solution of the differential equation. y'+2y = xe-2x,    y(1)=0

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Q: Solve the differential equation (D - D + 3D² + 5D) y = 0 ; y(0) = 2, yr(0) = -2, y1(0) = 4, yl(0) =…

A: We can solve this using ordinary differential equation

Q: dy – xy = x, y(0) = 2 ху —D У (0) %3D2 dx

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Q: dy The solution of homogeneous differential equation dz + 8xe z -y -e x 8x +c %3D -e r 8x +c 8x +c…

A: Thanks for the question :)And your upvote will be really appreciable ;) First option  is correct

Q: .(y²- xy)dx + x²dy = 0,when x = 3, y = 3

A: We have given differential equation  y2-xydx +x2dy=0 , , when x =3 ,y =3 x2dy=-y2-xydx x2dy= xy-y2dx…

Q: Solve the equation. (2x)dx + (y - 3x2y-1)dy=0 An implicit solution in the form F(x,y) = C is = C,…

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Q: Solve the differential equations. (y Jri i y²) dx xdy When x=V3, y = 1

A: y-x2+y2dx-xdy=0

Q: 4x²y-3xy? x3+ y3 dy What is the degree of homogeneous differential equation dx %3D A. 1 В.2 С.3 D. 0

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Q: H.W 2: Solve differential equations dy + y-x (а) dx y

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: y- 19y' +30y = 0

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Q: x³y'"' +3x?y" +5xy' – 5y= 0

A: Auxillary equation

Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find the general solution for the differential equation: 2- y" – 8y' + 16y = 6xe*

A: Use complementary solution and particular integral for finding the general solution.

Q: Solve with homogeneous differential equations 2. x²dy + y(x + y)dx = 0

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Q: dy Solve the non-homogeneous differential equation dx x + y + 3 2x + 2y + 4

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Q: Solve the differential equation. 2x dy + y dx = 9x 5 dx 9 (A) y = x 5 + 11 B y-x11/2. c %3D y = 11 x…

A: rewrite the given differential equation 2xdy+ydx=9x5dx as 2xdydx+y=9x5 dydx+12xy=92x5xdydx+12xy=92x4…

Q: Solve the homogeneous differential equation (x +y)dx – 2xydy = 0

A: Given homogeneous equation: (x³+y³)dx-2xy²dy=0

Q: The differential equation - 4ry? + 2ry + (- 4x?y + la? dy 5) dx Has solutions of form F(x, y) = c…

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Q: find the general solution of the homogeneous differential equation with constant coefficients:…

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Q: dy dx x+y+8 2x + 2y + 14

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Q: Solve the homogeneous equation : (x² - 2xy)dy + (x² – 3xy + 2y2)dx = 0

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: y“ dx + x(x +y)dy =

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Q: the differential equation (x+y)dy+xdx=o is Homogeneous equation

A: Given: x+ydy+xdx=0

Q: Solve the differential equation dy x² – y? - dx x2 by the homogeneous method.

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Q: Solve using separable differential equations dy — 8x3е 2у, when x %3D 1, у %3D 0 dx = 1, y = 0 ||

A: In this question we have to find the differential equation.

Q: Solve the equation (4xy+3y2-x)dx + 2x(x+3y)dy = 0 (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: (x² + y²)dy = –xy dx

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Q: Solve the differential equation dy _ y(2x2 + y²) d.x 2x3 by the homogeneous method.

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Q: Find the the solution of y' = yx³. O y= x*In c O x4 = In cy O y= In cx4 O x* = y In c

A: So option b is correct.

Q: (Dª + 2D³ – 6D² – 16D – 8)y = 0

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Q: 2х y" - y = x+ e2x Ex +

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Q: Solve the differential equation by homogeneous method x'dy+ y(x+ y)dx = 0

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Q: (a) y" – 4y" + y' + 6y = 0. (b) y" – y" + 2y' = 0.

A: Here we have to find the general solution of the given differential equations,  a) y'''-4y''+y'+6y=0…

Q: z+y+4 dy 2r + 2y +4 Solve the non-homogeneous differential equation

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Q: Determine the general solution for the homogeneous differential equation y" + 4y = 0. y(t) = %|

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Q: Find the solution of the differential equation ху V - ) (x+ y² + 1)dx - (y dy = 0 %3D Vy2+1,

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