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

Q: 8-x²-y? 19. 'dz dx dy +y²

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Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: dy will be dx If y = (5x + 1)(2x-1 + In x), then

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Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

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Q: an expiicit solu 'V1-y dx - V1- x² dy = 0; y(0): O 4+3/5 8 O 4-3/5 8 O 4-/5 O 4+ /5 2.

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Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

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Q: a) |(w - 1)(2y + 1) dy

A: a) ∫02(y-1)(2y+1)dy=∫02(2y2-y-1)dy=2∫02y2dy-∫02ydy-∫021dy=2y2+12+102-y1+11+102-y02…

Q: Sv-4 - y-3) dy

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Q: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2

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Q: y' %3Dх (1 — у?) 2 2ху — 10у —х+5g- 0 ху +5у + 2х + 10 2х + 3 -dx + dy = у — 6

A: given differential equations are first order variable separable differential equation. We will first…

Q: 3. dy = (x - 3y)dx ans. 9y = 3x - 1 + ce 3

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Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the…

Q: S S, 4cosx² dx dy

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Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

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

Q: (1-))csc²( 1– y)dy

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: 2e2x -1 Let y = %3D et dy Find dx

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Q: ³₂²₁²[z³(x + y)³] dz dy dx

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Q: 4) (x- y)dx+(3x+ y)dy =0, when x = 2, y = -1 5) (3x - 2 y²) y'= 2.xy, when x = 0, y =-1

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Q: solue 2/2y² + 5xy - 2y +4) dx + x (2x +2y-1) dy = 0

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Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

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Q: у (2ху+1) dz +a (1+2ху— г3 у?) dy 3 0 (1+ 2гу— а* у) dy %3D0

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Q: dx 1. dt 2х + 3у — 7 dy —х — 2у + 5 dt

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Q: dy -3 when x = -2 dt 6 If 2ys — х2 + 4x %3D — 10 and dx and y = 1, find dt

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Q: = 2-x² and f'(2) dy when x = 1. dx 8. Let y f(1+ Ju), - 3.Find

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Q: Solve for dy when y = <<+3x, x=2 and dx = 0.5. 2.500 0.125 2.625 2.125

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Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 351 2

A: Solution :-

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

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Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: 3 7x + 6x - 5x dy find dx - Example 28. If y = 4

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Q: 4) = dy dx sec(x+ y) 2т-2у+1 5) y' = x-y

A: We will use  substitution method

Q: 9. (х +у) dx - (у -х) dy %3D0; у (1) %3D1

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Q: x +y-y° =5

A: The given equation is x2+y-y3=5 We have to find dydx=?

Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

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Q: 3. (х+1)dy %3D (2хe* - ху- 2у)dx

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Q: √81 - y² ST (x + y) dx dy

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Q: dy 2 = 3, ,3 X'y' - xy dx

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Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

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

Q: 26. x = 2y, y(1) = 5 dy

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Q: 9. (x? + 2ху — 4у?)dx - (x2 — 8ху — 4у?)dy %3D 0. |

A: We will use substitution y=tx  as shown below to evaluate this

Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: Find dy/dx   (3,5)   for -4x^2y+3y^2+y+30=0

A: We find dy/dx   (3,5)   for -4x^2y+3y^2+y+30=0

Q: 26. = 2xy² + 3x²y², y(1) = -1 dx dy 27 -7

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Q: QI/ : If . Find dy y = 2v3 +- v = (3x +2)/3 , dx

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Q: Classify and Solve dy + (1- 2x)y = 4x ,x >0 dx

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