(D4 + 10D3 – 7D² – 76D – 60)y = 0 - -3x A. y = ce-2x + c2e¬3* + c3e2x + c3e¬5x B. y = ce=* + C2e¬4* + c3e³* + c3e-5: C. y = ce¬* + Cze-6x + c3e* + cze-10x D. y = c1e-2x + c2e¬* + c3e3x + C3e¬10x

Q: y" + 6y' + 8y = e-³t - e-5t, y(0) = 0, y'(0) = 0 a. (e³t-1)²e-5t 3t 3 b. (et - 1)³e5t c. (et -…

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

A:

Q: D'y- 4. (4D - 4D³ - 23D2 + 12D +36)y = 0 5. (D° + 3D² + 3D + 2)y = 0 Dy +y = 0

A: The given differential equation is: (4D4-4D3-23D2+12D+36)y=0 The auxiliary equation is:…

Q: dy Find if y 3e2 3z 一山 %3D O -9e 2

A: Using chain rule of differentiation.

Q: If x = 2t² + 3 and y = t* d-y – v2 then is 2 dx 1 a) 4 b) c) 2t d) None of These -

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Q: following is sol

A: Which of the following is solution of (D3-2D2-5D+6)y=0

Q: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

Q: Given a – - 2y² = 9y , what is dy 2 dr dy dz 9+4y dy 3z 4y-9 dy dr 322 9-4y dy dr 9.

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Q: The complementary function for the (D2 + 11D+ 28)y = Ois O Yc = Cie O Yc = Ce4z + Cze7 24z + C2e 27z…

A: we have to find the complementary function for the given differential equation

Q: d?y 13 으18 + t6/3- t2 + 246 3 Find if y(t) - dt2 3

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

A:

Q: 4e3t -2e-2t 5e If A(t) = %3D -5e3t dA find 4e-21 -4e' 7e3t dt -be-2t 5e ? ? ? ? ? ? ? ? ? II

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Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 A. y = c;e2x + C2xe2x + C3e-3* + C4xe + C4xe-3x B. y = ce2* + c2e"…

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Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

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Q: 19. (D2 + 2D – 4)y = 32 %3D a. y = C1e(-1+v5x) + C2e(-1-v5x) + 8 b.y = C1e(-1+v5x) + Czol-5x) –8 c.y…

A: Let's find.

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: 7. (D5 – 2D³ – 2D² – 3D – 2)y = 0 8. (2D3 – D² + 36D – 18)y = 0; when x = 0, y = 0, y' = 2, y" = 4

A: Note:- this is multiple questions and you have not mentioned is here which question you want to…

Q: Obtain the general solution.  1. (D4 + 3D3 + 2D2) y=0  when x=0, y=0, y'=4, y"=-6, y'''=14 2. (D3…

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Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: x3y5 Q3: Let x = 2 ± 0.005 ,y = 10 ± 0.01,z = 20 + 0.01 find u = %3D And fined the error ?

A:

Q: 7. Find the general solution of ( D5 + 3D4 – 21D³ – 47D² + 120D + 144 )y = 0 a. y = ciex + c2e3x +…

A: To find out the general solution.

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

A:

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

A:

Q: (D4 — 24D3 + 214D2 - 840D + 1225)у 3D0 A. y = ce5x + Cze-5x + Cze7* + C3e-7x B. y = c,e5x + C2xe5* +…

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Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

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Q: Мaximize 2 3 4х + 4y || 3x + 7y < 63 6x + 2y < 54 Subject to Маximum is at y = VI ALAL II

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Q: (D2 – 1)y = 8xe* A. y = c¿e¯* + cze* + 4xe* B. y = cze* + C2xe* + 2x²e* C. y = ce¯* + c2e* – 2xe* D.…

A:

Q: 23- y" - 2y + y = 0; y₁(t) = et, y₂(t) = tet

A: 23. Given y''-2y'+y=0   Also given y1t= et,  y2t=t et   To verify: the functions y1, y2 are…

Q: d²x is dy2 15 If x = (3 2y)5/2 , then 15 А. — A. -15(3 - 2y)1/2 В. 2 (3 2y)1/2 C. - (3 2y)1/2 D.…

A:

Q: Which of the following is solution of (D3+2D2+D)y=0(D3+2D2+D)y=0 ? a.…

A: We have given  differential equation D3+2D2+Dy=0 Auxiliary equation of diferential equation…

Q: dy Find dz given that y = -2 – 8z². z=-3

A:

Q: 5. (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + C₂xe³x + С5x²e³x

A: To Solve: Solution of ODE

Q: is: -2-z A) II -2(y – 2) dy d.x 2 B) -2r(y – 2) dy dr c2-z C) (-2(1+ (у — 2)?)y- 2) + у) dr dy 2-2…

A:

Q: 2) Let T(a + bx + cx² + dx³) = T-1 a la + (-1) b + 1c + ld 3a + (-1) b + 6c+4d la + 0b + 2c + 2d…

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Q: 5. (D2 – 5D + 6)y = 18x2 + 12e2* (Assume yp = Ax² + Bx + C + Ee2x)

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Q: (D4 — 24D3 + 214D2 - 840D + 1225)у 3D0 A. y = ce5x + c2e¬5x + C3e7* + c3ze-7* 7х || B. y = ce3x +…

A: The solution is given below

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

A:

Q: (D³ – D)y = 4e * + 3e2x X. a. Ур а. у, — 2хе * + 2xe+ +-e e2x b. Yp = 2xe +e2* X- 3 2x C. Yp = 3xe 2…

A:

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. y =c,e+ce+c,e²r+c,cosx + c zsinx y =…

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Q: 4. (D3 – 4D² + 4D)y = 0 5. (2D4 – 3D3 – 2D²)y = 0 - -

A: (4). The given differential equation is: D3-4D2+4Dy=0 So, the auxiliary equation is: m3-4m2+4m=0

Q: y" + 5y/ – 6y = e2® - y = C1e6 + C2 e" + 4 y = C1e-6z + C2e" – e2 | 8 y = C1e6# + C2e¯* + 8 y =…

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Q: Q5: 6y²dx-x(2x² + y)dy == 0 (Linear BernoullLeq.)

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Q: Q16 3 a) / 3²+ 2dt dt c) /,₁ (3-5)²

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

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Q: (D4 + 6D3 + 9D?)y = 0 Ay = (c,+c)x+(c3+cx)e* , 3x y = c,+c,x+(cz+c,)e* y = c,+c*+ -3x D +

A: Given differential equation is (D4+6D3+9D2)y = 0

Q: (D4 + 10D3 — 7D2 —76D — 60)у — 0 - A. y = ce-2x + cze¬3* + c3e2* + Cze-5x B. y = ce-* + cze¬4x +…

A: GivenThe homogenous differential is(D4+10D3-7D2-76D-60)y=0To Find:General solution and select the…

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

A: the discriminant of the PDE is :

Q: (D4 – 2D3 + 5D² – 8D + 4)y = 0 (D3 – D² + D – 1)y = 0 (4D3 + 12D2 + 13D + 10)y = 0 (D5 + D4 – 7D3 –…

A: Given

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

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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…