the differential equati x²y' – 2y = Inx² is cje2* + c2e¯* – x + 5 O c1x² + c2x=1 – In x + ; O 2 + c2e¯v2x + ax + b O + C2e¯V2r + 플 -글 0 C1x-2 c1x=2 + c2x – ln x – 0 - | cje-2x + c2e* | C1x² + c2x¬l + In x – 0 + c2e¬V2r

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

A:

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: +(n) = 3 (²³-9x² +33m - 18 enfor 1) Ⓒincreasing in (-0,0) (Ⓒineressing M- L decreasing in (2,8) in…

A: The function is given by:-Since, the natural log is present in the function.Domain of the function…

Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

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Q: 10x-9y-0-11 the same as -10x-9y+11? Or is it just -10x-9y-11 when finding Partial Derivative?

A: Reprieve is to clarify the doubts.

Q: {In(æ² + xy+y³)} Find

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Q: Which expression to (3 + i)(1 - i)? Note i √-1. O4+i O 4 O2 - 2i O4 - 2i is equivalent

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Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

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Q: x+1 Find the slope of the tangent line to the graph of f (x)=; at a=0 2x + 1 A -1 B 1 C0 D None of…

A: fx=x+12x+1 Note:- As per the company's guidelines, we are supposed to solve the first question for…

Q: At which point is g(t) discontinuous?  g(t) = t^2+2, if t ≠ 1 -2, if t = 1

A: gt=t2+2,  if t≠1-2    ,  if t=1 The given function is continuous for all t≠1, because it is a…

Q: x* +2x³ +4x+4 dx Evaluate: x*+2x' + 2x?

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Q: Find dy of 67 2. 2. my

A: The given equation is   yx=x2+2y2+1(ln y)x The product rule for derivatives is expressed as…

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: F"(x) = 6-18x, 0) = 9, 2) = 11 F(x) = 4x -3 +Ox+9 3p3 O Tyne h

A:

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

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Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

A: Topic- roots of polynomial

Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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Q: If Ax) = 2x+ 1and g(x) = x, Find g0)) %3D

A:

Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

A:

Q: the derivative () of = f(x) = 2

A: Please refer to the image below

Q: The 7th derivative of f(x) = 3x5 - 12x¹ + 7x³ − 11x² + √5 with respect to a is O 360T O none of the…

A: Topic = Derivative

Q: Find all residues of the function z (2-2) not including the residue at infinity. "

A:

Q: find d/dx 2x^2 -x using derication from first principle through the use of (f(x+h)-f(x))/h

A: Topic = Derivative

Q: In (4x+7) 1. Find the derivative of f(x) 5x e 10-18 x? Evaluate the integral: 5x-3x 5 6x*-3x?…

A: Please see the explanation below

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.