dy da = 1+ ey-a+5

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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Q: The general solution of xdy- ydx = x?e*dx is A у-хе*- сх-0 B y+xe*+ cx= 0 C c) x-ye*+ cx=D0 D)…

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Q: It is given that h(1) = 12 and f h' (x)dx = 17, determine the value of h(4 O 21 0 5 O 29 O 37

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Q: d'y Given: y = ax + bx³ + cx² + dx + e, where a, b, c, d, e are constant, find dx5

A: Topic:- derivatives

Q: Solve the following equation: ye®Y dx + (xe*Y + 2y)dy = 0 1. xe®Y + 2y? = c xe®y + y? = c 3. ey +…

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Q: 1. What value of y makes the equation true? * 3y+9 = 36 O A. 9 Ов. 15 О с. 30 O D. 81

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

Q: A A = r d 2. 3. 3. Find the value of d andB Por A is positive de fi which

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Q: Q/ il you know that X=t+ and Y- t- them the Value dy it egual 0 -4 导一 -3 No of the a bove4

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Q: Obtain 6. S y' = e+ %3D

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Q: Find D (x") where m, n E N. Distinguish between the cases where m>n; m = n; and m<n,

A: To distinguish between the given cases :-

Q: y*dxdy V2 y у?)2 2 3/2 (x² +

A: Here we have to evaluate I=∫01∫0yy2dxdyx2+y232=22

Q: Find the general solution of the D.E. y(2y+ 4x – 2)dx – 2(x+ y)dy = 0. a. 2xy + y? = ce-3* c. 2xy +…

A: Use integrating factor method

Q: dy x*y3 = X dx and y(0) = 2.

A: find the solution of the given differential equation

Q: The value of X-y z-y is |x²-y² z²-y}l' ?-y? z--y (x-y)(z-y)(z-x) OA. OB. (v-x)(z-y)(z-x) С. 2 D.

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Q: 8. If x = 1- 1 and y = In 1, what is in terms of 1 ? dx (B) 21 (C) -- (A) (D) 212 (E) 214

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: d=45 and t=5 what is the equation for s=d/t

A: We have to find the equation

Q: L. Given 2+ 2r + br - 19z +15 - cx + dx? + ex +f, find the values of b, c, d, e and f. * + 2r +5 INP…

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Q: Find dz² dy in terms of æ and y given – a? + 2 æy = 9. d²y a) -x - y dz? d²y b) dæ? d²y da? -x + 2 y…

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Q: The y's have been eliminated. What is the value of x? 2x = 13 3x + 2y = 9 -X - 2y = 4 x [?] %3D А.…

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Q: 9. What is the u-substitution to solve dx ? A. u = x? 2 B. u ==+5 1 C. u = D. u = es

A: Solution :-

Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: Q2. If the solution of the below first order D.E is y = C ef9) (+xy)y=y Find the f(x, y).

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Q: If y = 3x + 2x² + 4x – 5, 4х — 5, dy find at x = 1. da? a. 24 b. 26 С. 22 d. None

A: solution

Q: (c) For what value of t is p(t) = n(t)?

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Q: Find /| v'e*** - y? when D={(x,y)E R? | x>0,y>0,x² + y?<1}

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Q: Given that y = e² is a solution to the equation ty" – (t + 1)y/ + y = 0, which of the following is…

A: Given differential equation is

Q: If QR what is the value of y? 11y + 45 and SU = -5y + 33, T. S R U It

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Q: d?y Which of the following is the general solution to + 3. dx dy 10y = 0? dx2 -2х -5х D- C,e-2 +…

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = 6t 2 - 3, y = t 5, t =…

A: Given: x = 6t 2 - 3, y = t 5, t = 1

Q: d?y Find at t = -1 if x = e' , y = tet dæ? О А. -1 O B. 0 O C. 2 O D. e-1 O E. e

A: Given that: x=et and y=tet

Q: What is the relationship between DE and FG ? Select all that apply. Ту E 4 G. D 6 A. parallel B.…

A: We can find the correct answer as below and tick them

Q: Given that z=5cos (3x+ 3ct) +e**d, Which ONE of the following statements is TRUE? OA d2z dx2 d12 OB.…

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Q: B2. dx Let g(?) = " 4t

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Q: .3 The result of dx is F(b) – F(a), where F(a) and F(b) are real numbers. What is the value of F…

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Q: d'y If y = In(secx) and when x = then equals 4 dx? (a) 2 (b) 0 (c) 1 (d) 4 (е) 4

A: In this question we have to find the value of d2ydx2 when x=π4. Formula used,…

Q: Given T-1 = (2 + y)i + (x – 3y)j what is the value of det T|? 07 O-7 O 17 O -1/7

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Q: For what values of rFor what values of  y = e rx   satisfy the  equation   y " + 5 y ' - 6y=0

A: y''+5y'-6y=0 Let, y=erx⇒y'=r·erx⇒y''=r2·erx Therefore given differential equation becomes,…

Q: В 6 C 9 15 F. G 12 10 A H, E BCDA FGHE, find x and y X= y=

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Q: Q2. If the solution of the below first order D.E is y = C el(x.y) (x' + xy?)y' = y³ Find the f(x,…

A: Given that The solution of th given D.E. is  y=Ce^f(x,y)

Q: D What is an equation that relates EM to EL DM = 8 MJ 2y M What is EL EM = 6 F FM 2x %3D

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Q: 19. m2R = 130 and m2S = 80. Find mZT, The diagram is not to scale. a. 65 b. 70 c. 35 d. 80

A: We will find out the measures of angle T in the following step

Q: 24 C E 14 21 23 A X F Students, write your response! Pear C De abc Slide 12 MathBits.com

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Q: dy xy + y, given that y = e, when x = dr What is the value of C if = 0. ANSWER: Blank 1

A: Given dydx=xy+y

Q: d'y If y = x° + 5x, then dx? is %3D а. бх + 5 b. 6x с. О d. None е. 6

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Q: The evaluation of 3y3 e*y dxdy is е - 1 е -2 None of them O

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Q: Q6: Solve the following Higher-Order D.E. d³y d²y dy + 7- 5y = 0 dx 3 %3D - dx3 dx2 To find the…

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Q: b P+Q= (37) [d (1– B) – e (A+C+D)]' vhere d (1– B) - e (A+C+D) > 0, |

A: Using equation 35 and 36