ompala. 2. Detemine £{e3t sin 6t – t3 + e'} using table comparison method.

Q: 2. Solve the following initial value problem. dy = sin(Tx) dx? y/ (1) = y(1) = 0. - -

A:

Q: S.Si dx dy о 1+ху

A:

Q: a.) Evaleiate. (6tanx dx

A:

Q: Solve the equation dy + y - e cos =0 diffesential A dam- Moulton method with Obtain stasting values…

A:

Q: Evaluate e Cos I dx with tolerance e = 0.05 using the Composite Trapezium Rule. %3D

A: Equation is f(x)=ecos(x).The value of the table for x and y x 0 0.25 0.5 0.75 1 1.25 1.5 y 2.72…

Q: Solve the following Initial value problem: xcos²(y)dx + tan y dy = 0, y(a) = b %3D

A:

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: Find the general solution to the following Cauchy-Euler equation ty" + ty' + 9y = – tan(3 ln t).

A:

Q: 2) Find L{te"sin5t} using two methods. ans: (s+2)2+25

A:

Q: 13. Reduce the equation y + 4 = 0 to the normal form x cos 2 + y sin 1 = p, and hence, find the…

A:

Q: If the RHS (Right Hand Side-the source) function of a second-order differen tial equation with a…

A: Here we have to go option wise and choose the option with; y(0) = y'(0) = 0. Clearly we can see…

Q: first and second derrivative of: y=Arccos(e^2x)

A:

Q: 5 dx, correct +2x²) Problem 19. Evaluate (3 to 4 decimal places

A: ∫0152x2+3dxSubstitute u=2x3→dudx=23→dx=32du=∫532(3u2+3)duSimplify:=523∫1u2+1duWe know that…

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

A:

Q: 4) It turns out the three-dimensio ball than a football. A footba a trig function like y = a cos(E…

A: Volume

Q: a. y = cot¯(Ve") tanh(e") -1

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 1- Problem 4: B) Estimate the following integration with n = 4 using Trapezoidal rule and find the…

A:

Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…

A:

Q: / (3cosh m 2 cosh m sinh mdm +e°

A:

Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

A:

Q: QUESTION 4 The minimum value of n required to approximate dx by composite Trapezoidal rule xe with…

A:

Q: Sovle the initial value problem described by PDE: u, - cu = xe' with the data и (х, 0) %3 sin x,…

A:

Q: 4.2 Apply the appropriate method to calculate the following: = s****-8 dx dp: x2-4 I =

A:

Q: eYdx+ costx dy co

A: We have the given equation as   e-ydx+cos2xdy=0   We have to solve this differential equation

Q: Solve by any method discussed in class. y(4) – 4y"=2t2 + sinh2t

A:

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: s+3 is equal to s2 – 6s + 45 | A e3tcos6t В e3t (cos6t + sin6t) © e-3t(cos6t + sin6t) D e3t(cosh6t +…

A:

Q: If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?

A: we have given that  degree of freedom ( df )= 2  level of significance (alpha)=0.05

Q: 1 •arccos y Evaluate esin a dxdy.

A: Find the double integral by using order of change of integrals

Q: 1. S8te7 dt 2. "(1 – 3x) sin Gx) dx -2n L w²e*wdw 3.

A: Given, Simplify

Q: •1 cln(5) 1- S SmS) xy evx ´dydx r

A:

Q: 1. Given [In(4x² +7)ľ° y= find dx dy tan(5x)

A:

Q: 2 1 e. Use your answers for parts c and d to estimate -dx using Simpson’s rule with n=8 1+x

A: We have to find the integral by Simpson rule

Q: QUESTION 4 witQUTMOUTMOU with respect to r. Differentiate y 3- cosh r 6+ sinhr MO

A:

Q: Grade: 107.5/156 Print Version dy sin(5æ) Find for y dx dy Preview ||

A:

Q: 22. Find OY if y2 - 4xy + x² = 10. dx

A:

Q: Solve the following initial value problem. = 0, y'(0) = 4, y(0) = 1 dx?

A: Consider the Initial value problem d2ydx2=0                          y'(0)=4,y(0)=1

Q: INTEGRATE BY PARTS /4 2. Sa* x sin 2x dx

A: The given integral,       ∫0π4x sin2x dx

Q: Question 18 Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+…

A:

Q: INTEGRATE THE FOLLOWING FUNCTION. sinx dx e PROBLEM 1 : secx 1 e* dx PROBLEM 2 :

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: d y' of y= In(tanh2

A:

Q: ich option is an antiderivative of Sar 3x cos(-2x) dx a. 3 9.

A: We will use integration by parts to find the answer.

Q: Find the dy + 9 Cos Cx)= 3 Cos Cx) paihular suluhon Of the differenhal epeccin sahisfying the mihal…

A: Topic- Differential Equation

Q: Find the length of the curve  y = 4 ln(cos(x/4)) from x = pi/2 to pi

A:

Q: Find the general solution of the equation: anu dyn = 0.

A: Given equation is ∂nu∂yn=0   To Find: General solution of above equation.

Q: Solve the iniliál value problems. dy MA Using Mihe's method 22A).

A:

Q: 2/solve the differentialequation by using methad af Variation of (complete salution is vequired)…

A: Given equation is y'''+9y'=1cos11x               (i) Let us consider y'=z. Then, eq. (i) is reduced…

Q: 1. Find by implicit defferentiation dy dx CS wanne+with CamScanne

A:

Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

Q: Evaluate S 0 2-9.x² dx using the Gamma function.

A: