[D³ – D)y = -2(1+x) + 4e* - 6e¬* + 96e3× %3D

Q: finn D2:- knowing thet fcxy,Z)= tavm of C in dx そ= X+y Z= X

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Q: %3D x2+7 X2 +7 to flx1-メ= LtzX as xI oc ニ I + 7/x?

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Q: (D³ – 4D²D'+ 5DD² – 2D ) z = e'*2* + Vy +x.

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Q: 10. (D² + 4D + 5)y = 10; when x = 0, y = 0,y' = 0 %3D II

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Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: D. EXPONENTIAL SHIFTING THEOREM 1. (D³ + 4D² – 3D – 18)y = 24x³e-3x 2. (D² + 4D + 4)y = 64x²e* %3D

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

Q: ux.ュメトXス1いスコ-Y Palx, utェッズ)-。 入2コメ; +メュ-」+5- メレ 2 d、しズuメッ]= xit Xzメ]-6 fnd in Ganeral rm.

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Q: d²y 54. Let y = 4r+2r+l_find CL)

A: To find the double derivative of below expression.

Q: Non Homogeneous: (D2 − 7D + 6)y = 3x2 − 2x + 5

A: Here we have to solve the non-homogeneous differential equations     (D2-7D+6)y = 3x2 - 2x +5 .

Q: 5. (D³2D+4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: of Chal) D x24 6x -2:0 ent

A: Solve x2+5x-2=0

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: dy 24. Find dr? in terms of x and y. 6-8xy 9x-5y %3D

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Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

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Q: ( 9) (2D - D') ( 3D + 2D' + 4)(D² - D')z = 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: · (D² + 3D + 2)y = xsin 2x

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Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: J 5(x) =-J5(x) ylgn O İhi O

A: We have to solve given problem:

Q: Find EF in the trapezoid. A 4 D E 2x+6 5x+4 EF = %3D

A: Find EF in the trapezoid.

Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

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Q: Find dy/d 5x²+xy+ N9 - Say %3D =D0

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Q: Q5/ find y', y=In(Inx) * O y'= 1/( x-2x)*(2x)=1 O y = 1/( x-2x)*(2x)=2 none of the above

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Q: Find the DE by eliminating the arbitrary constants |.cʻy² = xCx- )° %3D

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Q: Find the domain of y = 3x+3. %3D X S-1 O x 2 -1 O x > 1

A: NOTE: Refresh your page if you can't see any equations. . as we know square roots of a negative…

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: dy Find dif: y = (x - a)√2ax x2 +aarcsin a none of these O a. Ob. a²2 √2ax x² - O C. 2√2ax x² O d. O…

A: Solution of given question is written in below steps.

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

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Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: 3. D'y - D'y- Dy + y = 0 (AD4

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Q: d²y 1. Find dr² where y = (5 – 3x + 2x*)-4. Do not expand the obtained answer.

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Q: Find the domain of y = vx+6. %3D 12. O x 2 6 O x > 6 1/6

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Q: 1. (D 2 + 3D + 2)y = 4t 2 By: (a) reduction of order, and (b) variation of parameters.

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Q: (D³ + 7D² + 19D + 13)y = 0 when x = 0,y = 0,y' = 2,y" = -12 %3D %3D

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Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*…

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Q: a.) = y° (4 – y²) - b.) y' = y In(y+ 2) %3D c.) = (ye" – 9y)/e" -

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Q: dx = Select one: a. In|x-2|- Inlx +2| +c b. 글미x-21- imx + 리1 + c C. 글미-2-글 i미x+ 21 + c O d. In|x-2|-…

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Q: Н. W.: -1/3 6dx 2. V9x2+ 1 c2/3 dy

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

Q: 19 -e 8x + · -2x y = c¡e¬* + c2e¯ xe8x %3D 8100 90

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Q: Q.1) Evaluate, (a) 3y In (y) dy 7+1 zp- (ь)

A: Find the integral

Q: dx Use a trig substitution to evaluate x³ Vx² x > 1. 1 6. -

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Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: S-ydx + xd - ydx + xdy, C: y² = 3x from (3,3) to (0,0) O 4 O O 2

A: Solution is given below:

Q: (D + 3D + 2)y = xsin 2x

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Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Q: 9. (D+3D² + 3D+1)y = 0. 13. (4D* +4D³ – 3D² - 2D + 1)y = 0.

A: As per our company guidelines we are supposed to answer only 1 question. kindly repost other parts…