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Q: Which of the following is a particular solution of the equation y"+y'+7y=4cos2x? O a.…

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Q: 4. dr/dt = -2tr, r(0) = ro %3D

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = 1 + xy2 - 2z2

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Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: 3. f(x, y) = (3x - 5y)2 + e4x In(4y – 9) + %3D 135 x4

A: We know, ddxxn=nx(n-1)  , for any real number n. ddxln(x)=1x

Q: 2. Find the solution of 25y" + 20y' + 4y 0 given that y y-0 when z 0. %3D

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Q: xp | %3D P O O d. dy -43xcsc(5x)[5cot(5x)– 3ln(4)] xp -43Xcsc(5x)[5cot(5x)+ 3In(4)] Oc. dy %3D xp |…

A: We have to find

Q: 2 5+4y³ Evaluate f,* S* y dz dx dy

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Q: x'y" – 3xy' +4y=x° Inx

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Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: 2 dy U=x-4 Eilsy =4-24 ذا كانت %3D

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Q: A)y= 3xt4 and -15x t Sy=2 Infinety mony Solutions B)y=-2x tl and Zx ty=1 One so lution ()y=2x-4and…

A: topic - linear equations

Q: 15. (X³D² – 3xD + 31)y = 3 In x - 4, y(1) = 0, y'(1) = 1; yp = In x %3D %3D %3D %3D

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Q: Question 2 Differentiate y = In(3x – 2x). %3D - 12z3-2 O y'= |3D 3z4-2r 12x – 2 |3D dz 3z4-2z 1 O y'…

A: Explanation of the answer is as follows

Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: -5-S"S, ((m-3)x²+m(m -! x- Yy)-4myx] dydx 2,3m

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Q: 3 '9-x2 3+V9-a2-y? 1 dz dy x² + y² x²+y² a C = L7I Fle,0,6) dp dộ do

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Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: а. у' +3у%38, у(0) %3D4 b. 1 xdx+dy= 0, y(0)=8 y c. senxdx+ ydy=0 y(0)= -2 d. y' +2xy2 = 0, y(0) = 3

A: y = -srqt(2+2cosx) is a solution of:

Q: I Find a particular solution to y" + 4y' + 3y = 3te*. %3D Yp =

A: Solution:-

Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

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Q: Solve. a) y - e" cosy b) +2y= + 2y 6e **-+(Let u - )

A: Since you have asked multiple subparts of this question, we will solve the first three subparts…

Q: 4. Show that 4=3y'z² ¿+4x²:* j+6x°y'% is solenoidal.

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Q: Y, = Ax² is particular solution of y' + y" = 1 for A = %3D

A: Here, yp=Ax2yp'=2Axyp''=2Ayp'''=0

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

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Q: 1 B (m,n) = m-1 (1-x)"-ldx %3D

A: Concept: By definition of Beta function

Q: what is the general solution of d^3x/dt^3 - 19 dx/dt + 30=0

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Q: Show that y = In (x) is a solution of xy" + y² = 0.

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Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: Solve the PDE of the first order Uz – Uy = 0, u(x, 3.x) = x²

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Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

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Q: Find the general solution of (3D2 + 5DD' - 2D'2)Z = 10 cosh(2x + 5y).

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Q: 2 Find the solution. ху'+ ху %3D 1-у, у(1) %3D 0 A y = x-'(1 – el-') B x = y-'(1 + el-) В © 2y =…

A: Solution of the differential equation

Q: 7. J -12 у-13 dy (2у +1) (у-3)

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Q: aпалyses). 3" a. an %3D 2n+2

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. The complementary equation to dt² + dy + 4y = 5e-³t is:

A: Solution is here

Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

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Q: 1 Q4- If you have 1 then x ... And y = %3D x+iy 1+2i

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Q: (2n Yn+2 + ) yn+1 ) Yn = (2n + 5)2" cos (") %3D 2n+3 2n+

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Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)n³ 3Inx = 2lny %3D Then x, is

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Q: 3 if/xtys+x²y³ - xy² + 5y + (x*y*)ž | %D then 3y'at(-1,2) =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: y = 2xy- x %3D In(2y – 1) = -a2 +C None of the choices Option 2 y = e=*C+ } In(2y + 1) = -x² + C %3D…

A: We have to solve given problem:

Q: 48xyz < (3x + 2y)(y+ z)(3x + 2z) for every x, y, z E [0, +∞[.

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Q: 2/3 If y = xl/3 + 2 dy then |z */0 =-8 dr

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Q: 3. yl-2y +2y = ecosx %3D

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Q: What is the discriminant of the PDE?    4d2/dy2=-3du/dx-4u

A: the discriminant of the PDE is :

Q: x²y-y -y': у+1 ; у(3) - -1 %3D а. х3— х — Зу- Iny3 - 21 %3D с. х3 — Зх - Зу- Iny3- k d. x3 - 3x -…

A: Given that : y' = (x2y - y) /(y+1).and y(3) = -1. We solve this differential equations by using…

Q: 1. If: Zx+ x²y + 3y2 = 0 Find Zxy %3D

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: /25-22-y2 zVx² + y? + z² dz dy dr

A: