d? -(A+B) at t = 1. di?

Q: xpáp -1 dydx In(y)

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: (2у? + 4л?) da — rуdy — 0 - %3D

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Q: dp +t². dt For p(t) dw For w(u) = Vu - 2u? – 10, du

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Q: (トタりナーそJ0 on メou sqo とてラメテ0 'hらトラメe 1(h8)3-9 4 トtト×ピーメピ(トタ)さーそ ト×-メと -(ドメ)きーモ

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Q: •Cx²+Jy'tuxy X y(2)21 use Rennoull EQ.

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Q: dy from the equation 3xy? + 42- Y-5 dx Evaluate = 11 when X = 1 2x? –1

A: 3xy2+4yx-y-52x2-1=11 when x=1

Q: dy =2x – 3 and y=2 when *=3. What is the value of y when *=4? dx Suppose

A: We have to find y when x = 4

Q: dy/dx=? for  3x4-e2xy+y5=2

A: According to product rule, uv’=u’v+v’u

Q: "x=Arctant, y=/1+76, find the value of a if y' 2ay" := 17 when =2 O 2/2 O -2/2 O - V2

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Q: 2ay" If x= Arctant, y=/1+16, find the value of a if = 17 when t=V2. y' А (B) 2/2 E -2/2

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Q: d²y =? III. y = 4 sin t, x = t² = dx2

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Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: 2ay" If x= Arctant, y=V1+16, find the value of a if y' 17 when t=

A: Here is solution

Q: t and capable of creatir econds and a is in ft/s2 = motion at 32 f/2. N

A: 2. The acceleration of the rocket is, anet=10t-32 Calculate the velocity of the rocket from the…

Q: Find for x2 +y? = 169 at the point dx %3D (-5, 12).

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Q: Silve the followry DE. 1. Gidy - y(27'4x)dx

A: According to our answering guidelines we can only answer one question at a  time, rest you can…

Q: 2ay If x= Arctant3, y=/1+16, find the value of a if 17 when =/2. y' ® -2/7

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Q: 6. If Jo(2x* +x-a)) dx = 24, find the value of a constant.

A: ∫0262x2+x-a dx=24

Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

Q: E Valua te ?- 1X+2y) dx dy when

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Q: What is the value of y when t o?

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Q: re? 1 f (x) dx (f(x) – 3) dæ. Given that 9 and + dx = 5, find -

A: Solve the following

Q: e where r is jiven peu'ametor! Fnd f'6).

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Q: |Q3/ By using definition, proof that d cot x dx - csc? x.

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Q: f(t) = tcosh2t + t?sin5t + t3

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Q: ху? + х — 2у + 3)ӑx + x?ydy %3 2(х + у)dy, when x %3D1, y %3D 1

A: Answer and explanation is given below

Q: Q2 : Find d'y /dx? Y = xtan (=)

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Q: 4- [10 points] Evaluate Jx²4** dx

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Q: dy If x2 + y? = 13, then at dx the point (2, 3) is : -3 2 -2 3 -4 3

A: x2+y2=13 differentiate with respect to x, 2x+2ydydx=02ydydx=-2xdydx=-xy

Q: У(2x? — ху + у?)dх — x? (2х — у)dy %3D0;B у(1) - H IN

A: Use homogeneous equation

Q: S Si e** (y + 6x²y)dxdy =?

A: According to the given information it is required calculate the integral

Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: E(XY)=?

A: Given Data: f(x,y)=17x2y             for (x,y)=(1,1), (1,2), (2,1)           =0…

Q: D. Eliminate the arbitrary constant C. 5. y'sinx-2x'y'= Cy?

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Q: Dy Aaln the wahen starx 2 1, ? cory) spc'x dx t tanx 2 = 0 -

A: A detailed solution is given below     (As per our guidelines, we have to answer only one question)

Q: d?y 6. - 2 +y=3e4x, given y(0)= dr2 dy dx 1 and y'(0) = 4 3 2/3

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Q: dy Find dæ? for y = csc(x) d²y dæ² ||

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Q: dy Suppose =ky, where k is constant and y= 10 when !=0, Also suppose that y= 15 when =2. what is the…

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: (d) When is the particle moving in the positive direction? (Enter your answer using interval…

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Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: dx (1+x2

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Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: e. (3х — 2у?)dx —- 2хydy %3D 0

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Q: d²y If dx2 -n?sinnx , (y" = 0,y = 0 when x = 0), then: %3D

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Q: |(3nt?t? – t*) (3n² – t') dx - --

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Q: (у + /x2 + у?)dх — хdy; when х %3D V3, у %3D1

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Q: It x= Arctant3, y=/1+76, find the value of a if 2ay" =17 when 1=/2- y' O 2/2 O -22

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Q: -)-= 0 ,y'at y = a (b is constant)

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Q: d’Y 2) Find dx? X = et et Y = et + t?

A: we have to find the second order derivative

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.