бу — 7 dy J (2y + 1) (4y² + 1) 11.

Q: 6x2+7y2=C satisfies 6x+7yy' given the inital condition y=4 when x=6 what is C.

A:

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

A:

Q: (b) ruz – 2yuy + u = eª , for x> 0

A: 1.(b) Given partial differential equation xux-2yuy+u=ex, for x>0 This can be written as…

Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

A:

Q: pany 2 = 355 3.24 = 0.52 on about these two co

A: The null and alternative hypothesis is as follows: Given: As the population standard deviation is…

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: 6. +4y> S 7. 15m+42s 8. pe-5 9. 52x+y 10. -zy-3r +S ame Cortesian anc

A:

Q: dy If y = e8z+13 then- dx O 7e8z+13 O 13e8z+13 O 9e8z+13 O 8e8z+13 O 104e8z+13

A:

Q: - r)rdrde 32(V2-1) 16(VZ-1) c. VZ-1) 4(VE-1), S(V2-1) a. d. 3. 3 3 e. 3.

A:

Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

A:

Q: i =r+ 1+1 1le n de bifureation? on?

A: This is a problem of Dynatic Model, stability Analysis.

Q: y"+ 4y = (87 - 4t) U(t) + (8 7 -4€) U(t-27) Yco) = 2 Y'o) = 0 %3D para

A: We will find out the required solution.

Q: dx 7. JIVa² – 2x + 5 (hint: let æ² – 2x + 5 = (z – x)²) -

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

Q: e 12t dt 31. 4et -1

A:

Q: 7. f (1, y) = z + y subject to z² – zy + y² = 1

A: Let h(x, y)=x2-xy+y2. Then we have ∇h(x, y) = (2x-y, 2y-x) and we also have ∇f(x, y)=(1, 1). Let the…

Q: Q2: Consider the IVP: y=1+2,1sıs2, y(1)=2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 6/11 - 8) AT= 12 RT = 4x S. T %3D doesn't R

A: Given: A parallelogram STQR. As per the property of parallelogram, the diagonals bisect each other.…

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: Suppose that dæ dy 4y? and that y(1) = 3. Find y(x).

A: The explanation of answer as follows

Q: 3 Evaluate 2z (4 – a – y) dy dæ.

A:

Q: 2) Show that La- (1 – x²)P',(x)P'm(x) dx : 21(1 + 1) Sim. 21 +1

A:

Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

A:

Q: 4". Sy' 8y Sx'e* y10)=8, y'l0).S X-

A:

Q: dy y = eV3¤²+1 then dz V(3z-+1)* O True O False

A: Answer : True Recall  if y=f(u) and u=f(x) then dydx=dydu.dudx

Q: The DE : y' =e3x-7Y is seperable Select one: O True False

A:

Q: S dy =2/y- 5inlVỹ+ 5| + c Vy +5 A True B) False

A: I am attaching image so that you understand each and every step.

Q: 3 1-Vy dy 2 2у3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: z2+4 Sc 7-szl-4 dz, where C: |z -3i| = 1.3

A: Given integral is  ∫Cz2+4z2-5zi-4dzwhere C: z-3i=1.3

Q: 3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

A: firstly simplifying these expressions then , use the concept of differentiation

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =…

Q: u+ 3z = 5 y +z = 1

A: Matrix: The matrix isA=1211131-11b=451At first we need to find the determinat of A.Ax=b is the…

Q: O y'+ (oy -asin 8t y W): -1 2

A:

Q: 2. Find deri vative y T-2X y=3e6x %3D

A: Given,          y=3e6x+e1-2x

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

A:

Q: (b.) ry' + y = 1 In(r), with y(1) = 0

A:

Q: 53. (a) ct = 3cr? (b) (5z + 4cz?) = 5 + 8cz d - ct³ dt d (c) (9c²y³ – 24c) = 27c² y² dy

A: we have to show that,a)ddtct3=3ct2       b)  ddz5z+4cz2=5+8czand c) ddy9c2y3-24c=27c2y2a)…

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

A:

Q: EX~U(0,1) if Y= =L l(t-x)~ Exporential (A,

A: From the given information, X~U0,1 The probability density function for X is, f(x)=11-0       =1,…

Q: Evaluate /, a Te dydx y2 2 JJ4X-x² 32 dydx (x²+y²)' V4x-x? O 4 In(v2 – 1) – 4+7y/2 3 4 In(v2 + 1) –…

A:

Q: dy 15. Evaluate: ) y(1-vý) A. 41- C. -2ln|1 – 5| + C B. In|1 – Jy| + C D. 2ln|1– y] +C

A: Given: ∫dyy(1-y)

Q: 3 9-r22 1 dy dz dr 9-r2 0_æ²_22 (x² + y² + z²)1/2

A:

Q: %3D18 SK+y%= {x-zy=9 11

A: Given query is to find the solution of the system.

Q: どa (en) (2-x)8 y = X+7 FiNo dy

A:

Q: 2 4 Mx(t) = -e+ 3t e' + e" + %3D 3 15

A: Given: Mxt=13et+415e3t+215e4t+415e5t

Q: 523 + 222 – 5 y = dy then dz 3x + 2

A: Consider the provided equation, y=5x3+2x2-53x2+2 Find the derivative of the equation with respect to…

Q: (4) y – 10y "+ 38y "– 64y '+40y = 153e¯* 111 %3D y "+10y "+ 34y '+ 40y = xe* +2e -4x + 2e cosx

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

Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.