Solution of the following IVP У'%3 3у (10-у), у(0) - %3D 2 is given by 10e 30t y% = 3+e30t 10e 30t y = 3+3e 30t 10e 30t y = 1+3e 30t

Q: The simplified form of 52 52 6 52 34 52 52 54 52

A: Addition & subtraction of proper fractions.

Q: For the difference equation given by y(k +2) - y(k + 1) + 2y(k) = 2* with y(1) = y(0) = 0 Find the…

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Q: Solve the given DE x?dy - xydx-2ydx

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Q: Fx) = メ- Sinx fax) メー Sinx %3D tind absolute max and min Prom -iT, ->

A: Solution is given below:

Q: If y' = х-у then its solution is x+y'

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Q: Find the derivative of the function (x-2)2 | y = Vx2 +1' 2.

A: We use derivative of u/v=( v derivative of u - u derivative of v)/v2.

Q: The top and bottom margms Op a poster are are 8 cm and Hhe Side mary Ms'are each 6 cm if Hhe ae a of…

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Q: у' -у - 2у3 36(t -2)+ e%; у(0)-D0, у(0)-3 y(t) = D %3D

A: NOTE: Refresh your page if you can't see any equations. . take Laplace

Q: y' =xy

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Q: 15.) y = ae* + blnx + cx + d

A: We have to find the general solution of the equation y=aex+blnx+cx+d where a, b, c and d are…

Q: Find general solution of (x^2 +y^^2 +z^2)p +(x^2 +y^2 -xz)q = z(x+y) %3D

A: Solution

Q: 5x' ty : 3x +yzo 4x+y'- 3x 안 50-3 40-3 에이엠은 X [50²-30-40² +30-40+3] x 1 02-40 +3) x = 1+t "-4x + 3x…

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Q: (1+ ye" + xye²)dx + (xe² + 2)dy = 0 C = xye – 2Y – x None of the choices Option 4 C = xye" + 2y – x…

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Q: dy %3D 1. If x'+ xy-3y' 10, then dx %3D

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Q: C. 6y = 3x3 – 2x² + x + 6e¬x? y' = x³ – 2xy when x = 0, y = 1 B. 4y = 2x2 – x + 3 + e¬*² A. 2y = x2…

A: Given y' = x3-2xy when x=0, y=1 y' +2xy = x3  Formula: ∫ex dx=ex∫xndx =xn+1n+1 For the differential…

Q: Маx Z%3D Зx, +5х2+ 4xз 2х1 + 3x2 + 0х3S8 Зx, + 2х, + 4х335 15 + 2x2 + 4x33s 15 Ох,1 + 2х2 + 5х3 S 10…

A: Question: The problem is                Max Z=3x1+5x2+4x3 Subject to…

Q: W = 0.3RX +0.7Ry, where Rx is the stock return from investing in stock X and Ry is the sto investing…

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Q: 6) а. Find dx if y%3 (n(x + Aj) - А2 х) (/5 В, - 7х) А131 A2=5 В1-4 B2=6 В3-2 DA-1

A: The given function is y = [ln (x + A1) – A2 x] (√5B1 – 7x). The given values are A1 = 1, A2 = 5 and…

Q: y₁' = -3y₁ - 4y2 +5et y2' = 5y1 + 6y2-6e¹ dan diketahui yı(0) = 19, dan y2(0) = -23,

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Q: The solution of dy dx 2xy = x2 + 3y? when y(1) = 3 23 + 10y3 = a? a3 + y = 10x2 Option 1 Option 2 23…

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Q: 1. x2+ 2x + 1 0 5x² + = 0 %3D 3. 5x 2+5 = 0 4. 10x* 2x + 1 = 0 5. -x2 + 10 = 0

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Q: ® - Cy+2) Cx+1) dy 3 %3D

A: We can solve the differential equation as below.

Q: 5. 2x+3y 39 y-7 =-2(x+ 10) 3. y = -x + 4 y = -2x – 13 + 13 %3D # y = 3x - 13 3. "y=D- y = * + 2 %3D…

A: Given: 5  2x+3y=396  y-7=-2x+10

Q: 5. y' = 4x2+y2 xy %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. 2хydx - (3xу + 2y?)dy %3D0 o (x - 2y)*(2x +y) = c O (x - y)*(x + y) = c (х + 2y)(2x - у)*- с о…

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Q: 2 + 5r +4 h(r) = 3r + 5 3r + 10r + 13 O A. h'(r) =- (3r + 5)2

A: The derivative is computed using quotient rule.

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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Q: 4. y" +y = e* +x³ ; y(0) = 2 ; y'(0) = 0 %3|

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Q: 3x3-4 21245 Differentiate: y = 6z4-45x2+16x O y' = %3D (2z2+5) O y 6z +45z+16r %3D | (2z2+5)…

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Q: (2a² + y)dæ + (x²y – x)dy = 0

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