Find the seneral solutionn given the Condrhors y'+2リ=0 JO) - y(277) y'o) = y'em) ノ

Q: Solve y" - by'tlly - Slt-1), ylo)= 1, y'lo)=0 ylo) = |

A: The given function is  y''-6y'+11y=δ(t-1) The initial conditions are, y(0)=1, y'(0)=0 We find the…

Q: Dy + Ox D'y )u =0

A: We have to solve given problem:

Q: 2. "-2y'-3y=5cos2x-9

A: The given differential equation is

Q: Find the general solution.

A: As per guidelines ,we will solve only first question.

Q: 2) vting daplace toansfóöre, Solve x" Zt)+4x'Lt)+3=(4) uing = 10 gint yeren that xco) = -3t Ans: ILt…

A:

Q: Solve the equations: a) y"+4y'+4y=0 dy 3 b) - ²y=x dx

A:

Q: 2. Suppose ALXry) = 2xy-ix"y. Find D.A

A: We have to find out ∇.A

Q: Assume that n(U)= 85, n(A’ intersect B’)= 19, n(A’ intersect B)= 22, and n(A intersect B’)= 23. Find…

A: Given that n(U)=85, n(A'∩B')=19,  n(A'∩B)=22,  and n(A∩B')=23. We need to find, n(A∩B) and…

Q: 6) —— (y² + z²)u₂ +xzu₂ − xyu¸ = 0

A:

Q: use Euter me thed to solve y's 2-24

A: Let us consider the given function y'=f(x,y), y(x0)=y0 Solving using the Euler method  Then the…

Q: Q4) Choose correct answer: 1 csin-(cosx) dy dx = 1-п а. 1-n b. -2 1+n С. 2 1+n d. -2

A: The given expression is ∫01∫0sin-1cosxdydx.

Q: Find y' given: Y = 6 √x

A:

Q: + xy' + y = 8 Inx

A: Consider the given differential equation as x2y''+xy'+y=8lnx. Since the differential equation is…

Q: 9) y= 3sin 0 +2 %3D TC 3T 2

A: y=3sin θ+2

Q: Uindaterraind coefdicients y" t 4ytuy = (3+x)e"; yro)=2, y'6) =5 %3D

A:

Q: х — у—1 3y – 3x – 3y (1) = 1 у (1) %3D 1

A:

Q: Solve the equation 4 x² y" + 4 x y' – y = 0

A: The given opinions and incorrect. There can't be x in power. In particularly x(-x/2) can't be…

Q: If y=t3, then y(6)+y(5)+y(4)+(1/3)y'=y? What is the power of y? a) 0 b) 2/3 c) 1/3 d) 3 e) 2

A: Differentiation of y with respect to t can be given as:

Q: Find Higher oxder dexivativese- %3D 2)Y. (ax+1)³ %3D 3)y: ex. 24:25x

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Q: y'47y'+12y = 2le", y(0)=,0)=-10 .

A:

Q: 2x 4) y" + 6y' + 5y = 2eª + e²x.

A:

Q: the trapezoiclal rule to calculate (2x+3) ck using just one Compane with amalytical answer?

A: ∫ab f(n) dxh = b-ann for n division of interval (ab)here n =1 h = (b-a)  the trapezoid rule for…

Q: 7.) Solve а) y'+y'-by=0 6-) у"-ну' +13y=0 с.) у" -бу' +ац=0

A:

Q: 4. Classify and reduce the following equations to a canonical form: (a) yu -x*u, = 0, x>0, y>0. (b)…

A: To classify and reduced in canonical form of the given equation is..

Q: 3. ® Find the genelal Solution of the differentral egation (D'+ 25) y = cscX Sinx t Sin 5X cos 3X

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Q: 1 -dxdy =? (4+x² + y²)°

A: Here we will use change of variable in double integration

Q: 3) Use the methods below to find V1-x²dx a) Try u-substitution. Explain why it will not work. b) Use…

A: a) There is no other x outside the square root, so that -2x could cancel.  So u-substitution will…

Q: Solve the second order non-homogeneous diferential equation (D' - 2D +4)y =10c"

A: Given differential equation is D2-2D+4y=10e3x. The auxiliary equation can be written as m2-2m+4=0.…

Q: Solve as simply as possible: J²u Ət² with u(a, , t) = 0, u(r, 0, 0) = 0, and 9 (r, 0, 0) = a(r) sin…

A:

Q: Q4\ If A(x,y, z) = 3x²i + 3zj – 3xk find the Div (Grad A). %3D |

A: Explanation of the answer is as follows

Q: a) Find dz, if z = e' sin e %3D b) Verify uxy = uyx , if u = In /x² + y² . %3D

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

Q: 5. y"+9у-0

A:

Q: Solve y"+y' + y = 6sin (2x) supo

A:

Q: Find y " if y = 2x sin x. O A) y" = - 4 cos x + 2x sin x O B) y " = 2 cos x - 4x sin x C) y " = - 2x…

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