6. x = t and y = 3t – 2 for 0Sts4 %3D -

Q: 5. Find dy/dx (y - x)? = 2x + 4

A: Given: y-x2=2x+4 To find dydx. Solution: Power rule of differentiation states that: ddxxn=nxn-1…

Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

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A:

Q: (5* )csch x²+1 dy if Find dx 1. (a) y = x >0. (ecosh 5x) In Vx +1 )

A: Find your answer below

Q: 3 For y = 3x + x + 3 dy = -1 = dx

A: Given that:y=3x3+x+3To find: dydxx=-1

Q: メyゴ= ザ+×x。+y %3D ind gen eral solution

A:

Q: a- If w = x² + 2xy and x, y change from initial values (x = 1, y = 3) By amounts dx = 0.01 and dy =…

A: Given: w=x2+2xy So, dw=2x dx+2y dx+x dy...(1)

Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

A:

Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

A:

Q: 4.Jy2-プdy

A:

Q: 2x y3= Ked dy

A: First take the log both sides and simplify than differentiate with chain rule.

Q: 10. (x2+y)+(x+ey)dydx=0

A: We have given the equation;

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A:

Q: dy Find for 3(x2 + y²) ² = 100xy dx

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Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: 3). S eax cos(mx) dx

A:

Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: -2x y" + (e by = 0 (e-* = z) -

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Q: n/3 SS ycos(xy)dydx= - π/ 3

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Q: Compute ∆y and dy for y = x^2 − 4x when changes from x = 3 to x = 3.5.

A: Topic:- application of derivatives

Q: 1 = S V1- xV3+ x dx %3D

A: Use integration by part

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: Find the most general antiderivative. 1. dx 10 3 .3

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: y= In]3x+2)²/2x–1 dy 1. Find dx

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Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: dy dzy If y = e2x –2e¬3x, Find at x = 1 dx 'dx2'

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Q: 5. S , dz dy dx 2 c3

A:

Q: 7. If S PCx) dx = 14 and %3D S.I find 6. fCx)dx

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Q: General solution of (ylny − e¯xy)dx + (² + xlny) dy = 0

A: Let's solve given diffrential equation.

Q: dy The solution of dx with initia y

A: Introduction: Separation of variables: This method is only practicable if the differential equation…

Q: Z eXZ 4. xyz dydx dz

A: Solution:

Q: .1 S S, x(x² + y²)²/3dydx

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Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: | by inspection: (3y° + xy kdx + (x°y² – 2}kty = 0 1. Integrating factors found

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)

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A: Given:     dydx+y=16

Q: Find dy for y= dy= 2 4x + 8 X

A: Given.

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A: Follow next step

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Q: С (4 — х — 2у) dx dy

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Q: Given Z = ye 3r + 2y; where a = ln 2 and y = 2 with possible errors Ax = 0.01 and Ay = 0.03.…

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Q: Can you help me step by step?

A: Let u=1+x^4

Q: Find dy/dx by the implicet differentiasion x2+y2=64

A: