Q4e- find The differential Equabims if you 3t zaē tbe hare There rosts 2. Q4=aë+bë y=e"cos(3t) te' Sinc3t). /4 te 'sinc3t) 4=(2=3¢)e 1 where y)=2 25 2€

Q: TT sin 0 – cos 0 2 19. у 21. y = x² – cos x

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Q: Find y" for the following function. y = 4 cos x sin x y" = У'-‑

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Q: + mw Cai :) (T-T: Mu Cw + mai AI Ccu = Mu (Ten- Te)

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Q: = - In(- cost) – e sinr, find the value of y' when t= 4 If "y=sin?t+ tant, x=

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Q: Find the derivative of the function. y= 2x°e* Which of the following shows how to find the…

A: Topic :- Derivative Correct option :- D

Q: 4. Find the derivative of the following: v(t) = 2sin? (7t) + 4 a. 28 sin(7t) cos (7t) b. 4cos (7t)…

A:

Q: y*dxdy V2 y у?)2 2 3/2 (x² +

A: Here we have to evaluate I=∫01∫0yy2dxdyx2+y232=22

Q: х — 2 sin? 3x 11.у %3D 2x2

A: Since we are given with multiple question and our guideline is solve first question only kindly…

Q: 26 Find the 155th derivative of (1 + x°)" at x = 0.

A: see 2nd step.

Q: Subject 2/ Pind the derivatine o f the followiny 2x +tanx

A: Derivative of the function

Q: Question: Find the derivative. y = 2tan?r – sec?r. Select one: O y' = 2sec2I tan r O y' = 4secI tan…

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Q: dy d. x = y + y³cosx dx

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Q: d? V5 - 2x . dx² 9) Find 10) Find the second derivative of k(z) = 4 cs z.

A: Given, a) d2dx25-2xb)k(z)=4 cosec z To find : Above values of differentiation.

Q: Match items in Column A with its derivative in Column B. Write your answer on a sheet of paper.…

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Q: Find all possible functions with the given derivative. y' = csc? 30 Select one: A.1 csc 30 + C 6 3…

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Q: 4. y = sin 2x 1-cos 2x

A: We have to find the derivative of

Q: dy given that 2" + 2y = 2"+y. dr' Find the derivative

A: We have to find the derivative dydx, given that 2x+2y=2x+y.

Q: 5. Find y" of 2y – 5x = 3x – 8y

A: 2y-5x=3x-8y

Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: 3. A circle exists whose equation can be written as y2 – 16y +x² – 10x = -64. a. Find for this…

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Q: Find y' for y=3 sin?x+3 cosx. A O .BO 5 .CO sinx .D O cos x

A: using formula for first derivative of trignometric function

Q: Find y". 6. 7. y =x' +6x y'"3= %3D

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Q: Find y" by implicit differentiation. Simplify where possible. x² + 6y² = 6 ||

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Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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Q: Find the derivative of y = 1+1=10 17 Or=0 + 30 3 Oy= Oy=- ▬▬ + 17 - 17 4 (3-17²) 33

A: y=3-17x23x3

Q: dy da

A: Implicit differentiation : when you have both terms x and y in an equation differentiating the…

Q: y = x. Find y''(1) = r8

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Q: 5. y = = cos' cot (csc

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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.