Equating the coefficients of t" of the following equation E{{a,(z) + 2zn a, (2)]t"+1 – a', (x) t" – (n – 1) a, (z) t"+2} = 0 a", (x) t" – (n – 1) a, (x) t™+2} = 0 %3D yields to

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A: Given:Here we have given a function  .To find:The derivative of the given function using product…

Q: 1. y = x* – 2x3 + 5x? – 4, find y*

A: As there are multiple questions, first one is solved here.

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A: As per our company guidelines we can answer only three subpart question at a time so if you nee more…

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A: Given:     fx=log2x3+x-1

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Q: (15) y "'+ y " =e (16) y () – y (4) = 1 %3D

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Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

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Q: Differential Calculus Find the third derivative of the ff: 1) y x 1-ex 2) y = 2ex - 8x 3) y = 6ex -…

A: We have to find the third derivative of the given function.

Q: Question 29 Find y' by implicit differentiation for 4x2 y7 - 2x = x+ 4y3. 8xy7+5x++2 y'= 12y2-…

A: Let's find.

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Q: d. y= x² + y x + cos y

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Q: (a) y 10u² and u = 5 - ² (b) y = √u and u=1-1

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Q: Question 4 What is the second derivative of y = csc* (2x) ? A y"= -8 csc“ (2x) cot (2x) B y" = 16…

A: Please see the answer below.

Q: tind the derivatiues of given functions with respect tox. 12

A: Please refer to the image below

Q: 6.Given y'a = -2x³ + 12x² 20x + 8.5, y(0)=1, h=0.5 find y(2) using the 2nd-degree RK - a. 3.37500 b.…

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Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

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

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A: The slope of the curve g(x) at a point will be the derivative of the function, g'(x) at that point.

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Q: -1 GTiven A=( 2-니 3 ) and ()A find A -3 H possible. It not state youre Teasoniong

A: Given: A=−132−4find:A5−6=?−34A=?

Q: Find the derivatives for the following functions. 1 2x2 1.

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Q: Г. 5 1, г)ах — 9, g(x)dx 8 Compute: -[о g(x)dx b.) == 5 3f(х)dx %— с.) .5 f(x)dx d.) 2 "/Г 5…

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Q: ga)= 3(5x²-2 Vn) FIND g'k)

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Q: by s- differentiation find L(te-3t) = 1 .aO (s- 3) 1 .b O (s-3)2 (s+3) .dO (s+3) 2 1.

A: The solution is given as

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Q: d {(1 — 2г + 3а4)7)} dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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.