dy - 2e3t-2y; y(0) =0 %3D dt

Q: dy dx -3х а) +3y= 2xe3* b) t- +3x = 2t°, x(2) =1 dx dt

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Q: Dx+Dy= ムxy43t Dx-Dy =-2x+2y %3D

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Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

Q: (x-y-2)dk t3x ty-1)dy=0

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Q: (교2 + y2 - 5)dz = (y + zy)dy,

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Q: (x + 2y - 4) dx -(2x +y-5) dy = 0

A: We have to solve given problem:

Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

Q: x-y 2 dx dy wer (2x-u)

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Q: dy + 4 y = x³ - dx

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Q: dx -y = 5 dt dy = 3t dt 2x -

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Q: d²y dy y = e * is a solution of dx2 = 0 dx

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

A: We will solve the problem

Q: y-dx + (x2 + 3xy+ 4y²) dy = 0, when x = 2, y=1

A: Explanation of the answer is as follows

Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: xdx e-x + (Y+) dy y³ = 0

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Q: dy =y -y-20 dt

A: We draw the image then classify the image.

Q: dy X+y dx

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Q: Solve the differential equation in Exercises

A: Given 17. dydx=2x1-y2 ,   -1<y<1 18. dydx=e2x-yex+y

Q: dx -5x² – xy + 114.x dt dy -x?y – y + 900y dt Find the equilibrium points in the first quadrant

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Q: dx | | dt dy dt dz dt 2x + y + 2z 3.x + 6z = -4x – 3z - =

A: Given: The differential equations are  dxdt=2x+y+2zdydt=3x+6zdzdt=-4x-3z To find the general…

Q: e-(2²+y²) dy dx x=-00 Jy=0

A: To evaluate the below integral. ∫x=−∞∞∫y=0∞e−x2+y2dydx

Q: Find the particular solution of the linear equation dy/dx+y/x= x if y(1) = 0.

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Q: Solve dy = x'y° - xy t. dx %3D .3

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Q: dx 2x dy y 3.

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: (x³ + y² + z) dx dy dz. 2 Evaluate

A: To evaluate the integral

Q: y(4x+y)dx-2(x2-y)dy = 0  when x = 1 , y= 1

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Q: dy Is y =V10 – X a solution of dx

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Q: x (xyx)dx = y(xy2)dy wheen x-2,

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: dx -3 +2x dt = 2 is

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Q: (x - xy + y)dx - xydy 0. ()

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Q: (2x y) dx = -x dy

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Q: dy 2 + y = 0, y(0) = -3 dt

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

Q: dyi = y1 + y2 - Y3 Уз dt dy2 = 2y2 dt dyз = y2 - y3 dt

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Q: B dy x/1-y2 dx 1+x2 II

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Q: dx = -y+y(x² + y² dt dy = x – x(x² + y²) - dt

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Q: x/1-y2 B, dx %3D 1+x²

A: dydx=x1-y21+x2

Q: (yæ² + æ*) dy – (y³ + 2 y² a 3 3 y x²) dx = 0 - - –

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Q: LLL- (x+ y+ z)dydxdz. -1 J-1 J-1 |

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Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: ution to dx = 1+t-x- dt 2 +C +C) /2-C

A: We have to choose the correct answer from the given options according to the given information

Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Simplify the given equation to obtain the expression of dydx.…

Q: (x - y) dx + (3x + y) dy = 0; when x = 2, y = -1.

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Q: dy/dt - y = -y4 (t+1)    y(2) = 4  solve the equation

A: Given

Q: (x-y)(4x +y) dx tx (5x-y) dy = 0

A: The given homogeneous ODE is: (x-y)(4x+y)dx+x(5x-y)dy=0...(1)

Q: d’y -4 dy +y=t²-2t +3 1. dt? dt

A: The given differential equation is; d2y/dt2 -4dy/dt +y=t2-2t+3. Repost the next part.

Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

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

Q: 3X-Y-4) dy wheh X=4 i y=l ty dx

A: You can solve by any method