If A =x 2sinyi+z?cosyj -xy2k then -=x?cosyi - z?cosyj-2xyk 1O ду =x?cosyi-z2sinyj-y?k ду .II O =x?cosyi -z?sinyj -2xyk O ду

Q: そx4

A: Given: 1-2xuy+ux=0 Auxiliary equation is  dx1=dy1-2x=du0 equating first and last terms…

Q: Evaluate

A: ∫3cos22x dx factor out the constant term outside integral symbol. ∫3cos22xdx =3∫1cos22xdx=3∫sec22xdx…

Q: Find the GCD OF 4xy°z', 8x²y"z³ and 24x'y°z" ? 10

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Q: 00 10) evaluate (x + 2)5e-(*+2) dx -2

A:

Q: (2x + 3) = 3y1 4 Select the correct response: O 2+ 12y3 2,2x + 3 3 3 Y 1 (2.x+3)3 o 12y°(2.x + 3)?

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Q: D cos( 5t D sinf see Dcost cast) 4

A: See the attachment

Q: Uxx - Uyy = 0

A: Take u(x,y)=x2+y2 We have  uxx(x,y)=2 and uyy(x,y)=2

Q: Solve for Rf   E(Ri) = Rf + [E(RM) – Rf] × bi             .1020 = Rf + (.1080 – Rf)(.91)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi              .1020 = Rf + (.1080 – Rf)(.91)

Q: xy2 y' = ey + sin y dy = dx x+y y' = x2

A:

Q: - xy +y= 0 %3D

A: The differential equation is given as y''-xy'+y=0. Let y=∑n=0∞anxn be the solution of the…

Q: ди In[x²e*Y], solve ду Given u =

A:

Q: 8 410x-32+x2 cos2x 4 Find *: (a) y =

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Q: EX:- Select Analog to Convert 2X + y - 3Z - 2u = 0 __(1) X + 2y +Z+ u = 0. (2)

A: We are given a linear system and we have to convert it into analog matrix form.

Q: -1 (3) cscx = sin X

A: We have to use proper substitutions and properties of analytic function.

Q: 3. Using any of the convergence tests covered in this chapter, determine which of the following…

A: Note : '' As per guidelines we will solve first three sub parts. If you want any specific sub part…

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: In this problem you will get some practice with the logic of sets, i.e., ways of putting sets…

A:

Q: Solve cosx dx + (sinx)y=1 Select one: O ay sinx + ccosx O b. y = 2sinx + 2cosx + c O c. y = sinx –…

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Q: Evaluate sin (ax) (ax) V3 (2ах) da Cos

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Q: Lim メートo Cos aX Cos bX

A:

Q: +2 y = 3e" cos 2x -2

A: Solution

Q: (e) S, In|x| dx.

A:

Q: 4xу + 30х у —16 ху" 6ху

A: Divide the entire numerator by denominator.

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: Solve y = x - 2ycot2x A B (C) D 2xsin 2x + (4y - 1) cos2x = C (4x - 1) sin2x + 2xcos2x = C (4x − 1)…

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Q: Ssin8 (3z) cos5 (3z) dz

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Q: y= (12,4 + x)* + (1+)(Va² +x- c )cos²(4x), c)cos²(Ax), 3)4( 3 y = (12,4 +x)* + (1+x' Зx +x — с y = ?

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Q: Rewrite (6x + 9) cos (x + 3x) dx using substitution of variables. o /3 cos udu o / 2 cos udu o / cos…

A: The given integral is: I=∫6x+9cosx2+3x dx

Q: Evaluate f 4 csc (4x) tan (2x)dx О а. csc (2a) + C O b. cot (2x) +C О с. tan (2а) + C O d. sin (2x)…

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Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

A:

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.