Solve the problem -64u u(0, t)-u(1, t)-0 IC u(a, 0)- 5 sin(2xz), PDE 00 BC 4,(z, 0) - 3 sin(3rz) u(z, t) - holp (formulas)

Q: b) 6(sin x)² + cos 2x + 1 = 0 [0,2π] I

A: Solution6 sin2x+cos 2x+1=0we know cos 2 x= 1-2 sin2xput this value in the given equation,6 sin2 x+…

Q: c) fsin-¹(x) dx -1

A:

Q: The general solution of y" + y = e + 5e2* is y = ei (A cos (*) + B sin )) + Ce-" + 응e2x 2 () V5z y =…

A: Given that  y"'+y=e^(-x)+5e^(2x) To find the general solution

Q: a) m - 1 b) m – 2 Q.8) The characteristic equation for y"" + 3y" – 4y = 0 , is : b) 2' = 32?-4 c) m…

A: To find out the characteristic equation.

Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

A:

Q: 9) How many roots (zeros) does f (x) have? a) 0 b) 1 c) 2 d) 3 e) 4 10) How many extreme points does…

A:

Q: (b) (2, -5π/6) (r, 0) = (r, 8) = y -1 -2 -3 -5 -1.5 (r> 0) ] ) (r< 0) 1 -1.0 2 3 -0.5 4 y -0.2 -0.4…

A:

Q: |(5e" + 5x4 =. + 9 cos x)dx 5et + x + 9 sin x + c 5ea + x + 9 cos x + c 5e + x³ – 9 sin x + c O et –…

A: Need to find integration

Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

A:

Q: (2x + 1)(x – 1) dr 9. 3x + 6 d.x 2.x3 10. | (20 – 1)(x² + 5)dx 17. - (3x – 2)2 - 18. 4x

A:

Q: (a) What is t when the particle has height 6? t = 2 (b) What is the velocity of the particle when…

A: To find the tangent path at t=2.

Q: Without solving, match a solution curve of y" + y = f(x) shown in the figure with one of the…

A: ANSWER (a): OPTION D is correct f(x) = sin (2x)

Q: Solve the he o-3D+4)y(x) =x cos(2x) equation y,(x)=(6x+4)sin( *+4)sin(2)-cos(23) - y,(x) =(-6x-4)…

A:

Q: Solve Q11

A: 11. Given that the series                      x∑m=1∞mamxm-1+∑m=0∞amxm

Q: z.e +4 a'z cos(2x+y) z.e Solve ax 4 əx-əy axəy

A:

Q: S cos(3r)(sin(3x) +5)10 dz Select one: (sin(3z)+5)" 11 +C O (sin(3r) + 5)"+C (sin(37)+5)" 33 +C…

A: Consider the integral: I=∫cos3xsin3x+510dx……1

Q: I. Functions and Limits 1) If f(x) = x2 – x + 3, find f(-5y) and f(x³) x2-1 2) lim X-1 2+3x-4 3) lim…

A:

Q: Solve the equation 2 sin²(x) = sin (x) for all solutions over [0, 2]. Which of the following solving…

A: Option B is the correct choice.

Q: Q7: Í sin(3z)cos(4z) dz = a)cos z- cos(72) + C b) -tcus x -os(Ix) + C %3D Qe S sin'x cas d = 2).

A:

Q: Solve the following D-E 1) y' +y = sinx dy 2) x - 2y = x°cos4x dx dy 3) x = y + x³ + 3x² – 2x dx

A: **As per bartleby guidelines we are allowed to answer only 1 question or 3 sub parts at a time.…

Q: 2ä + 2i + x =1 with x(0) = 0 and ¿(0) = 2 Answer: x(t) = 1+ 3e-0.5t sin 0.5t – e-0.5t cos 0.5t

A:

Q: ind the general solution : a csc() – y] da + ædy = 0 X CSC x = e (csc + cot ) In (ese + cot ) In =…

A:

Q: L = {cos (–5t)} L = {e-3t sin (5t) } 5 s2+25 (s+5)+9 s2– 25 (s+3)+25 s2+25 (s+3)–25 s2+5 (s+5)+25

A:

Q: If f(x) = 5 cos (2x) - 3 then what is the value of 7π ƒ (7) ² f ? 6 O sin (-1) 7π 6 O cas (7) 6 0…

A:

Q: 7, dx (23) √ √25x² + 2 dz 25. (21. 27. 29 dy ? √ √²√5 - 1² (31) S z³ √z²-4 x² dx (6x² - 49)1/2 dt S…

A:

Q: 3) Suppose I want to use a "u" substitution to find sec² (9x + 4)dx. What should I choose for u? O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the problem Utt = 36uTz u(0, t) = u(1, t) = 0 u(x,0) = 4 sin(2x), PDE: BC: IC: u(x, t) = =…

A:

Q: The equation (tan²x+3y²)sec²xdx + (3tan²x + y²)dy=0 can be solved by

A:

Q: a) 2(sin x)² - 1 = 0 [0,2π]

A: a) 2(sin⁡x)2−1=0[0,2π]

Q: Q.1) The general solution of the equation y e' cosA a) y(t) =c, +c; x +c,¢ ' de' cosa Re' sinx b) y…

A:

Q: sin(16x) cos(8x) =;(sin( x) + sin( -8 2))

A: Let the given trigonometric function be y - y = sin(16x)cos(8x)Divide and multiply by 2 on the right…

Q: 4. Find_r(t), if_r'(t)=4sin(2t)i +8t³j and r(0) = 8i-3j. A) r(t)=-2 cos (2t)i+2t¹ j B) C) r(t)=-2…

A:

Q: The square root of (1 2i) is (1) V5 (cos (+ 2n)+ i sin (5 + 2n")) for n = 0,1 COS (2) V5 (cos (+ 2)…

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: : Find Fourie trans form? alt)= 5 rect(134) @ F[214-2) +²0+] e @ F[x(++) cos(3+)] Sext] © F[z(t)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Question. Express the real part of each of the following signals in the form Ae cos(@t + 6), where…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

Q: 2. Find the general solution. y' + sec x y = cos x. а. b. y' +y =÷(e* -e-*).

A: