1. ydx + 2x dy - y2x² dy = 0 dy 2y

Q: rectional deri 101 at the point

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Q: This is a differential equations question.

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Q: Which is not a form of differential equation is...

A: This is the forms of difference equation and series in summation notation.

Q: 2xydy + (y² – 3x²)dx = 0,y(3) = 2 O x - xy² = -15 3. .2 2. 三C .2 .2 xy 15

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Q: Consider two large mixing tanks shown in the figure below. Suppose tanks A initially contains 80…

A: A liquid with a salt concentration of 3lbs/gal is entering into tank A at a rate of 2gal/min.…

Q: 4. 2ydx + (x ay³) dy = 0

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Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

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Q: (cos2y — 3x*у-)dx + (cos2y — 2хsin2y — 2x3у)dy — 0

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Q: хdу — (у + х? сos(x)) dx — 0

A: First i have written the given differential equation into standard form of first order linearr…

Q: ( 2x – 3y + 1)dx – (3x + 5y – 6)dy = 0 %3D O 2x² – 5y² = 6xy – 2x + 12y = C O 2x² - 5y² - 6xy – 2x +…

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Q: y" – y' – 6 y = sin t + 3 cos t

A: The given equation is a second order linear non homogeneous differential equation with constant…

Q: dy dy -4 =0 dx dx O 2 and 6 O 2 and 4 O 1 and 6 O 1 and 4

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Q: 2xydy + (y- 3x)dx = 0;y(3) = 2 O xy² - x³ = c O x³ - xy² = –15 O x³ - xy² = 15 O x³ - xy² = c

A: Solve intial value problem, by Exact differential equation

Q: a. 2y' + y = 0; dy + 20y = 24; dt b. c. y' = 25+ y²; y = e-*/₂ y = 33 6 5 5 y = 5 tan 5x 6 -20t

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Q: S.lve this separable diff. egly dy+dey= 6X 2x4

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Q: (5y – 6x)dx + rdy = 0

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Q: What must the function k be for a differential equation to be a complete differential equation? Find…

A: Given the DE is 3x2+xyk-x2yk-1y'=0. Find k such that the given DE is Complete DE. Then find the…

Q: 1. Solve the differential equations dy (a) e*! + 2e*y = 1 dx %3D

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Q: x dy + y dx = 3x²y² dx, y(-1) = 2

A: Rewriting given differential equation into standard form of bernoulli equation

Q: Day 0 1 People left in hotel (put initial value here - in this case, 100) 48 29 15 23456 852

A: The given table is  day People left in hotel 0 100 1 48 2 29 3 15…