18. What is the general solution of* (Dª + 5D² + 4)y = 0 y- Ccora + Cvine + Ce"cos2r + Ce" ain2r = Cycosz + Czsinx + Czeos2z + Cisin2a O Option 1 Option 2 y- Ce'easz + Cesine + Cye"cos2e + Cesin2z y= Ce "coe + Cye sina + Ce "corde + Ce " sinta

Q: IV. Solve for x using the fact that if a" = a", then v = w. (Show solution) 6) 5x-1 = 0.042x %3D 7)…

A: Use the fact, "If av=aw, then v=w" to solve the following equations for x.

Q: O Which equation is equivalent to 2 In(x+ 1) = 10 ? A) x = e2 - 10 C) x = e5-1 B) x = e10 + 1 D) x =…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: What is the product of 6x²y°z³ and 2x°z² - 3y*z? - 5x²y°z5 1) 12x"y%z!0 - 18x³yl2z35 - 30xty®z25 2)…

A:

Q: y = Ce 2 + Cze-3r +7z Oy/" + - 6y+42-7 0 O y" +y - 6y+38r – 5 = 0 O y" +y - 6y+ 40r -9 = 0 O y" + -…

A:

Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

A: According to Bartleby Q/A guidelines, we only allow solving the first question if multiple questions…

Q: 2/7,545

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Q: W= 1-Xy"- Ż Find ニ Wそそ 3 Wzx DWyz (6)W xz 9. 3.

A:

Q: What is the general solution of (4D* + 4D² + D) y = 0 ? y = C, + C2ei+ Czzei" + Czrej Cjei + C2zei"…

A: The solution is given as

Q: Give the general solution of xy + 4y = 3xe-4x 3 a) Oy = -xe4x + Cx-3 b) Oy = 3 e4x +C 3 e) Oy = -e*…

A:

Q: AE: GS: PS: m²³_6m² +9m =0 m(m² -com +9)=0 m (m-3)² = 0 M=O (M= 3) (2x) 3x y = a + c₂₂e²³² +₂e² Dy =…

A:

Q: a) y" - 4y + 3y = 1+ t² b) y" - 4y+3y=e²t

A:

Q: 2. If BDbisects <ABCand m<ABD=10x-3 and m<DBC=2x+5, find m<ABC. A

A:

Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

Q: B=i-3)-k , A = 31 - j+k A-B+C=0 l.

A: The given vectors are B=i^-3j^-k^   nad  A=3i^-j^+k^. It is given that A-B+C=0.

Q: Consider the following IVP: у зу -10у - 1, уo) --1, у(0) - 2 Find the general solution. A 13 St re…

A:

Q: 7) y = -3 sin x A) B) -21 -21 21 D) -2n - 2n -2n

A: Given: y=-3sin13x

Q: 16. IF mz1 = (x + 92)° AND (x + 104)° FIND m2. m22 = \21 2

A: We have to solve

Q: 5. (x + 3): (5y - 2) = 1:4 and 2x + 3y = 4 6. x: y:z- 1:2:4 and x +y +z= 112 (x + y): (y - 2): 2 =…

A: solve the equations

Q: 1 ه = 9 + ۶۶ + گل ه 10 - .e ex ہو scs لا ما + 25 له Zab + (ab) fo + گل @ ý +2aý + a²+b) y = fo

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Q: Simplify the following by using De morgan's theorem: (with solution)  1. W = BC +B'C 2. X = A'B +…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 21. The complementary solution, y., of the equation y" + 2y" + y = 10 is %3D (a) y. = Ce- + cze- +…

A:

Q: 2.P=12x+19y Subject to ちx+4y>=45 2x+5y=0 3.P=zzx+26y Subject to X=10 Y=18 X,y>=0

A:

Q: 19) Determine a particular solution of NHLDE (3D³-2D2-3D+2)y=10 b) Up = 5 10 3 d) p 10

A: Given differential equation ( 3D3 - 2D2 - 3D + 2 )y = 10 as we know that yp = perticular solution

Q: -24 5. y" + 4y" + 9y' + 10y = when x = y = 0, y' = –4, y" = 10 %3D

A: To solve the given differential equation.

Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

A:

Q: 3) C2 -4 C=C₁UC₂ 3 C₁: line from -4 to (-4+21) C₂: line from (-4+2i) to (3+2) (Cxtiy) dz= ?

A: (.) Given ,          where    line from  to    line from  to we know that   , differentiating both…

Q: y= x* + axf + bx + c is a solution of y" = 24x True B) False

A:

Q: Find the general solution of Зx(у - 4) x2 + 3 1+ (x² + 3)3 1- (x² + 3)3 a) Oy = 2 + 2C(x2 + 3)6 b)…

A:

Q: 5. To what expression is 4x°y2 - 108 equivalent to 1) 4(x³y* + 3)(x*y® - 3x²y* - 9) 2) 4(x³y4 -…

A:

Q: Q19) The general solution of 2x²y" + 3xy' - 15y = 0, is: a) y(x) = = ₁x² + ₂x³ b) y(x) = c₁x + ₂x-3…

A: As per our company guidelines, we are supposed to answer only the first question. Kindly re-post the…

Q: Find y given that 3 y" = 5 x4 and that when x = -1, y=-2 and when x = 1, y = 0 -3 y=52+r +1 y = x² −…

A:

Q: 5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx…

A: We want to solve the given homogeneous differential equation.

Q: Find the general solution of xy + 6y = 6x, VD. 3x a) O y2 7 b) O y2 3x* +C 9x8 c) Oy = + C 49 d) Oy…

A:

Q: O solve 1)yk+5 + 5 yk+4 +10 yk+3+10 yk+2 +5 yk+1+ yk=0

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: 1. Let U- {[ : b. e Maxa(R) :3 c+d = 0}. d Find its dimension.

A: .

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

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.