Can you give 2 Examples of Homogeneous DE (All Algebraic Variables)?

Q: * Evaluate. 2t |4 + et| dt

A: Solution :-

Q: What is the antiderivative of  4x^2 + 6 + 3/(x^2 + 1) ?

A: Given information:The given function is

Q: Show that r: y = 3. 2n

A: Using two sectant theorem,  ∠n=12x-y  Multiply both sides by 2. ⇒2n=x-y .....(1) Using intersecting…

Q: Write the general solution for the homogeneous DE y/" + 3y" + 3y' + y = 0.

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Q: (a) 3 Differentiate y= y 3= us ing first principle. 2x+2

A: we are allow to do one question at a time  if you rest of answere please specify that part and…

Q: Find the general antiderivative for x^7- 6x + 8.

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Q: Give the antiderivatives of 4x 3

A: Our Aim is to give the antiderivative of 4x3.

Q: น อริน dt2 = a a Ou Ox? 2

A: See below attachment

Q: 4) 8r dz dy dr

A: Solve the triple integral

Q: What is the counterexample of x+x>x ?

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Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+C₁e-ax using 2…

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Q: Compate the Cantiderivative of fox) = x²+4 xナ4 %3D x³+ax

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Q: Differenitate: y = esin (z²+2z)

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Q: Integrate: S (2r – 3) (3r² – 9r + 5)°dr

A: Integration: - Integrals are the values of the performance discovered through the mixture…

Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c

A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.

Q: on of y" – 2y' + 2y =

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Q: f(x, y) = In(4x + 3y) Calcule

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Q: If x < 0 and y > 0, determine the sign of the realnumber. x/y

A: It is given that, x < 0 and y > 0

Q: Find mZR. 2/2 mZR = %3D Submit

A: From the given figure:   With respect to ∠R   Perpendicular=QPBase=QR=2Hypotenuse=PR=22   From the…

Q: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: max z = 2x + 8y %3D s.t 3x + 9y 12 х, у > 0

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Q: Find the antiderivative of  (3x^2+2)/(3x^2+.6x)

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Q: Chenge to Poloy -V3 +2Ź

A: Here we use complex number property to find polar form.

Q: Differentiate: y = 4cos (-)

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Q: 3. e2In 2x %3D 4x. B 2r. 4x D In 2x.

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Q: (2VZ cV4z-x2 Evaluate S" dydxdz

A: This question is taken from the calculus in which we have to find the triple integral of the given…

Q: Integrate -dr 8 + 4 + C

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Q: Find the antiderivative of (25x2+48x+15)/(x-1)(x+2)2

A: Antiderivative of a function f(x) is given by :…

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: Exercise (6): cx=1 cy=2 cz=9/2 ha dzdydx

A: To evaluate the given triple integral

Q: Calculate || xVy² + x²dA, Where R = {(x, y) /0 < y <land 0 < x < y}

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Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

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Q: af(x,yz) -

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Q: Solid inside x2 + y2 + z2 = 16 and outside z = √x2 + y2

A: Given:

Q: Differentiate : a. y= In(2x^2 +4) b. y= In(ax^2)

A: Differentiate (a) y=ln2x2+4 (b) y=lnax2

Q: can be obtained as dv dt -9. 81 – 0.0321 × v²

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Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

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Q: Show that: If Iz| = 1, then: %3D z3 + 4z? – 4| Im < 3 z + 4

A: Since |z|=1 Let z=r(cos∅+isin∅) ⇒|r(cos∅+isin∅)|=1 ⇒r=1 Now

Q: 19. (x, 4x), (-2x, 3x), given that x < 0 -XV10 (since x< 0, Vx2 = -x) %3D 20. (x, 4x), (-2x. 3x),…

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

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Q: Sa 3dx 1. (x+6)Vx+4 2. V-1+2 dt

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Q: 2,5 is equal to . V162x O True O False

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Q: AB = 8 %3D M2PQR = 140° %3D O y= 1 x is seven units greater than y. MLABC = 122° %3D PQ = 3 MAY tv…

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Q: y” – 2y’ = ex (Non Homogenous DE)

A: Given DE is y” – 2y’ = ex.....(1) Let y=emx be trial solution of reduced equation of (1). Then…

Q: Show that the following is homogeneous and solve a. y'= (2x-y)/(x-2y)

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Q: Cx² tq]% /2 2

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Q: Determine the following equation if it is Homogeneous IVP, First, second, higher order equations and…

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Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.