2 y ey? - 4x d A , R=[0,2]x[0,/8] R .A T (e + e-8) .B 2 (e®)-2 .C e + e .D ( e8 + e 8 -8 - 2 ) 00

Q: Determine the general solution y" + 3y' +2y 6 Select the correct response: none of the choices Oy=cl…

A:

Q: 2x3 + 11a? + x +9 x + 2 Given x2 +1 (2a3+ 11a2 + x+ 9 dx Evaluate (Don't forget to include the %3D…

A: use substitution method for solving the integral

Q: If z = 6x2 + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Δz and dz.…

A: If z=f(x,y), where f(x,y) is a differentiable function, then the differential dz is defined by the…

Q: ro0 dx -5 and r0x) dx -8 then f) dx is glven by O a 13 b.3 Oc-3 O d. 13

A: We evaluate given Integral

Q: Solve ydæ %3D (е9/2 + 20у — 2л)dy - = A- B I . E E E E 8 &

A:

Q: ty" + (2t - 1)y'- 2y = 32t e2", y(t) = 2t- 1, 2(t) = e-24, 29 00

A:

Q: Current Attempt in Progress a bc a b Given that d e f = 6, find |g h i 5d 5e 5f g + 7a h+7b i+7c a b…

A:

Q: e4t b) - dt e2t+3et+

A:

Q: Current Attempt in Progress a b c a C Given that d e f = -2, find 7d 7e 7f %3D lg h i g + 3a h+3b…

A: Solution is given as below:

Q: Find the general solution to (t² + 16)y' + 2ty =t°(t² + 16). Enter your answer as y = .... Use C to…

A: To find the general solution.

Q: (a) (2x*y')(-x*y) (b) (2х- Зу)(3х - у) 4.(a)_ 4.(b)_ 4.(c)_ 4.(d) (e) (x-y)(x² + xy+ y°) OHER 4.(e)_

A: As we know from the exponent rule; 1). am·an=am+n 2). aman=am-n   (a). Given: 2x4y3-x5y

Q: Using a b e f B = g h A = Show c d 1) (AB)-=BA-1 (AB)=B-1 = B 2) (AB)= B"AT 3) + |a-| = |A| 4)

A:

Q: ve ve tmy,-S y e yo e I Iny dy ve dy yz dy

A:

Q: finel I= (a-x) そ m-l n-1 dべ

A:

Q: Find the particular solution (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1 What is the particular…

A:

Q: cx + dy - f(x, y) = ; P(3, 4); u =i+ x - y

A: Given that  f(x,y)=(cx+dy)/(x-y) P(3,4) and u=(4/5,3/5) To find the directional derivative of f at p

Q: 4. (D² – 5D² – 9D + 45)y = 0 a.y = Ce2* + Cxe* + C,e5% b.y = Ce-3* + Cze + C,e5% c.y = Ce-3 + Cze* +…

A: Explanation of the answer is as follows

Q: s2 Y(s) : Find y(t), also what is y (0)? s3-2s2-s +2

A: Given :- Let Ys = s2s3 -2s2 -s +2 To determine :- find yt and the value of y0.

Q: LT of Heaviside Write the solution for f(-5)e-st dt.

A: According to Bartleby's guidelines, we can only solve one question at a time, please post again to…

Q: T= 2 n t+n, -n <t < 0 f(t)= t - 7, 0 <t<A

A:

Q: (x-h)^2 + (y-k)^2 = r^2 Can we simplify what we have to look a bit "friendlier? DiEcouon

A: Given,  The equation of the circle  x-h2+y-k2 = r2  We have to simplify it.

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

Q: Q4// B//Give an example to explain: x y, p(x, y) # 3 y, Vx, p(x,y) Ax B # BxA P(AU B) P(A) U P(B)

A: 4) 1. ∀x, ∃y, p(x,y)≠∃y, ∀x, p(x,y). ∀x, ∃y implies There exists a y for any given x. Where as ∃y ∀x…

Q: r2 rb If I = x9 e-x5 dx = A u e-u du then 38 a + 2 b + 60 A = Submit Answer

A:

Q: 5. (D² – 1)y = e* + 1.

A:

Q: 2. g(t) t, (t-7)², (11t-e21-30, t< 4 4≤t<7 t27

A:

Q: If x(t) = e-"u(t) and h(t) = e-$'u(t), the y(t) will be:

A:

Q: d?y Find at t = -1 if x = e' , y = tet dæ? О А. -1 O B. 0 O C. 2 O D. e-1 O E. e

A: Given that: x=et and y=tet

Q: Simplify 2 b+3 1 1 b2 9 b-3 Preview E e 99+ thp LETT PACK ARD

A: Simply the expression.

Q: Q5. Calculate L-1 -2s e s2 Q6. Find general solution of the DE 4.x?y" + 8xy + y = 0

A:

Q: 19. Mr. Ford is traveling in his Focus from Los Angeles. The distance, d, in miles from Los Angeles…

A: choose the first two points from the table ..................y-intercept is  the slope of the line…

Q: + 5t 3- xy)D = [32 )and 28" – D-1 = {A If A 3 -: Find the unknowns x, t, y, z D=7 F=7 C=2

A: The inverse of a 2×2 matrix is calculated using the following formula:  a  b c  d -1=1deta  b c  d d…

Q: ) Solve ke 0.D.E using Eiga valus/ Eiga vecters dt - 3 1-1 coher = cwher 7= A = 3 -1 || 1 33 F =…

A:

Q: s2 a) Y(s) Find y(t), also what is y (0)? 53-2s2-s +2 s+6 b) Y(s): Find y(t) s2+8s+6

A:

Q: Solve the initial value problem. State which rule you are using. Show each step of your calculation…

A: The given initial value problem is D2+0.2D+0.26Iy=1.22e0.5x,   y0=3.5,  y'0=0.35. Obtain the…

Q: 2. Kenneth threw a basketball toward the hoop. At the time the ball left his hands it was travelling…

A: (a) The thrower is throwing the ball towards the hoop. So it will take a parabolic path.

Q: 1 Evaluate and simplify its final answer. S dx. (Note: Don't use u-substitution or any direct…

A:

Q: Q/Find o e-3t -e-6t dt

A:

Q: L{8(t-3)(2+e-2)3= e 3 (2 +e 6) -3s a. b. (2 +e ) C. e2(2 + e) d. e 2 (2 +e6) e (3 + e) е.

A: Find the Laplace transform of given function.

Q: 3. y = e-x and the x axis is revolved about the y – axis. (Answer: t C. u. )

A: Let's find.

Q: 3. Reduction Order Given: (D² – 4D + 4))y = e*

A:

Q: using variation of parameters answer the following for the DE: y''-y'-2y=4x^2 A). What is W1? B)…

A:

Q: A) e-2 Β) e2 Σε e=2n =? 71=0 C) CADEMI Ε)

A:

Q: 8. wants to dig the side meter as the mine shaft more expensive to mining company silver mine…

A: Given, Price in dollars per meter is given by- P(x)= 103.25+20.45 ex To find: Cost of digging

Q: y = e^ - Fescx. What is y!? 9.

A:

Q: Practice similar < Previous ycle company finds that its average cost per bicycle for producing n…

A: Given query is to find the cost per bicycle, when production level is high.

Q: e+ = e2a-y C = e? 1 C = - O Option 4 Option 2 C =-e

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.