3 Solve the following GDES by variation of parameters method: ý - 2y +y = e sinx Ansa U ● X sin X

Q: Evaluate the iterated integral below. π/4 1 S. S'y co Só 0 0 y cos (x) dy dx

A: Solution…

Q: dx 2 + 2 sin x + cos a

A: we have to solve the integral.

Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

A:

Q: per distance between the bottom of the ladder and the wall? Oft/min O-4ft/min Oft/min 4ft/min…

A:

Q: 1. Show that (a) exp(2±3лi) = -e²; (c) exp(z+лi) = - expz. πί p ( ² + 7² ) = √ = (1 + i); 4 (b) exp

A:

Q: Find the area of the region common to the interiors of the cardioids r= 1 - sin 0 and r= 1 + cos 0.…

A:

Q: Determine whether the series converges or diverges. 00 3″ 3 + 50 n = 1 The series converges by the…

A: Solve the following

Q: Use the properties of Fourier transform if f₁(t) = ē at ult) JF.T = S flt) ējwt dt ماز- Seat, ejust…

A:

Q: 품 tan (2x) sec² (2x)dr

A:

Q: Find the minimum distance from the point (0,0,0) to the plane 9x+4y+z=5.

A:

Q: lim 22+2−6 Evaluate the limit -222-x-2

A: Given, limx→2x2+x-6x2-x-2 Let's factorize x2+x-6=x-2x+3x2-x-2=x-2x+1 x2+x-6x2-x-2=x-2x+3x-2x+1…

Q: Je t ež cos (2t)dt

A:

Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = xn 1.3.5. .... (2n-1) Find the…

A:

Q: The general solution of xdy-ydx = x²e³dx is (A) y+x²+x=0 B x+ye²-cx=0 C y=x*-c=0 (D) x-ye*+cx=0

A: We need to find out the general solution.

Q: Find the areas of the regions enclosed by the following curves. = 2sin 20

A: To find the area of the region enclosed by the following curve.r=2 sin2θ

Q: The general solution of (3tanx-2cosy) sec²xdx + tanx sinydy=0 by Substitution i A B C D tan ²x…

A: To find general solution of given differential  equation.

Q: r+∞ e dx - dx x ln x

A:

Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = Si + 5j + k v = i + j +…

A:

Q: Consider the first order differential equation a. y(-3) = -3.14. b. y(-0.5) = 1.7. or each of the…

A: Here, the given DE is: y'+tt2-4y=ett-3 Comparing it with y'+P(t)y=Q(t), P(t)=tt2-4 & Q(t)=ett-3

Q: 4. Use absolute value notation to describe The distance between x and -10 is at least 6.

A: In this question we have to find the solution of the given statement.

Q: If the angle of the moon is decreasing at 0.25 radian per hour, how fast is the shadow of a 150 ft…

A:

Q: r3 0 d.x 16+ x²

A:

Q: y=1/(AX+B) Make a differential equation

A: Given :y=1Ax+B

Q: X(f) -2rift dt (A)e-2mift dt S+xx(t) T + 27/2 w did he get the ue inside the circle

A: Topic:- application of integration

Q: Find a basis for the row space and the rank of the matrix. -2 -4 4 4 3 6-6-9 -2 -4 4 5 (a) a basis…

A: Use the fact rank(A)= dim rowspace(A)

Q: r+∞ x e dx x ln x

A: We have to evaluate ∫e+∞dxx lnx                                            I = ∫e+∞dxx lnx…

Q: (14) Use log differentiation to find the derivative of the function. Y = (sin (7x))*

A: Here, the given function is: y=(sin(7x))x Taking logarithm on both sides, we have: ln y=ln(sin(7x))x…

Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constarit. >2 where 3 x? as a ad…

A:

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A:

Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: Let f(x) ƒ'(x) = = 5 csc (8x)

A: The answer is given below:

Q: Use the method of variation of parameters to determine the general solution of the given…

A:

Q: Consider the following. u = -9i2j4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the…

A:

Q: Consider the following series. n= 1 (a) Use the sum of the first 10 terms to estimate the sum of the…

A: Given an =1/n^5

Q: Find the curl and the divergence of the vector field. F(x, y, z) = x²yzi - x³y k i + Submit Answer…

A:

Q: 3 S4e³ lnx dx

A: This question is related to Indefinite integration, we will solve it using given information.

Q: Find the solution of the given initial value problem: y(4) + 2y""+y" + 8y′ − 12y = 6 sin(t) + 80e¯t;…

A:

Q: Exercise 17. Compute the following integrals 1 (a) -dx 2 sin² x + sin x cos x cos²x (b) -d.x 2 + tan…

A:

Q: dx 2+2 sin x + cos x

A:

Q: Find the radius of convergence, R, of the series. 8 Σ +47 n = 2n(ln(n))² R = Find the interval, I,…

A:

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 7. F(x) = F(2) F(4) = F(7) = F(x)…

A:

Q: Test for convergence or divergence, using one of the tests listed below. Σ(²1-042) n+1 n = converges…

A:

Q: Tim x-2 x-2 Js √5x-2-√√2x+4

A: To evaluate the given limit first we multiply the numerator and denominator by the conjugate of the…

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

A:

Q: - 1)n (n + 1)!) 3n!

A:

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n I = X Find the…

A:

Q: Rewrite the expression in the form k. xn. 12√x 4x³

A: Understanding of basics of algebra is required to understand this.

Q: Evaluate d -tan − ¹ (√x + 7) = dx

A:

Q: state the domain and range for each of the following:

A: Given set of points S={(-3,-2),(-2,-1),(-1,0),(0,1),(1,2),(2,3),(3,4)} We know that domain is the…

Q: Which of the following is a general solution in implicit form? A B C D y=ccosx y=In(cosx+B) + C y =…

A: topic- differential equation Any solution in the form y=y(x) is in explicit form. solution in any…