(i) Vx EN By €Z YN Pf W Why? (iv) ar €Z (wsc) vy €N Y N Pf w Why? ax €Z ay ez YN PI W Why?

Q: F (x)-(33y+いny2 (トメ) +3)2 EChzthsosx +x) is that -> how メノ Con Servative and mine Potential…

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Q: 2 t² ty"(t)-3-t・y'lt) + y(t) = h(t) = ylo) =0 x) (0) = 7 D 0; if o≤t ≤1 2 €² t²; if 1 ≤ t <3 623. D)…

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Q: To convert the nonlinear DE xy²y' = y³ – x³ to become a linear DE we use the substitution y= u"…

A: Given the nonlinear DE  xy2y' = y3-x3

Q: Is y = e-x + 2xe-* a solution to y" + 2y' + y = 0.

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Q: اجب عن السؤال - ODE dy _ (x² + y²) dx x2 Y + x²y = c x² + y²x = c 3 x2 +y?x = c 3.

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Q: The general solution for the DE - 2y +y=xe",x>0, is given by O d. y= Ce* + c2xe* – xe¯\Inx. O e.…

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Q: 4. у" — 2у'+у %3D хе* — е" x’e* Ans. y= c,e* + c2xe* + 6. x²e* 2

A: Solution

Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1   Find the general solution.

A: The given differential equation is: y''-y=4cost So, we can also write as: D2-1y=4cost So, the…

Q: Find the solution to ty' – y = r² e 0.09 ' satisfying y(1) = 0 and valid for all t> 0.

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Q: Let y(x) be the solution for the DE : y = (x + y + 2)2 If y(0) = -2, then find y() ○2-푸 O 8 - T O -…

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Q: The solution of the DE: xy' - 4y = x°e* is O None of these y = x*e*(x - 1) + cx y = x°e* + cx* y =…

A: Topic- differential equation

Q: 18. X ve Y bağımsız r.d. ler olsunlar. E(X)=3, E(X²)=25, E(Y)=10, E(Y² )=164 ise Var(3X-Y- 8)=? a.…

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Q: If y(s)=1/(s2-3s+2) , and y(t)=L-1(y(s)) , then y(1)=? (a) e2-e

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Q: Let z=xIn(x²+y²-e)-235xy, x=te, y=est. If the value of oz when s=2 and t=1 is equal to Ae?+Be", then…

A: Here, the given functions are: z=x lnx2+y2-e4-235xy, x=t es, y=est so, z is a function of x and y…

Q: ck that y(x) = e rx with r satisfying ar 2

A: Introduction: Introduction: In mathematics, differentiation is the process of determining the…

Q: The solution of the IVP t(t + 4)y + (t + 4) y= t, y(2) =2 exists in the interval

A: In the question it is asked to solve the initial value problem as shown below. t(t+4)y'+(t+4)y=t2…

Q: In a football match, X is a RV that represents the interarrival time between goals scored by team A…

A: Given thatX - interarrival time between goals scored by team AY - interarrival time between goals…

Q: What is the solution (ry – r) dr + (x²y + y) dy = 0 when 2 and y = 1

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Q: 25. Let y = y₁ (t) be a solution of y' + p(t)y = 0, and let y = y₂ (t) be a solution of y' + p(t)y =…

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Q: The general solution of the DE y(4) + 16y"' = 0 is O None of these y= C1 + C2x + C3x² + c4e*16x y =…

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Q: If y = e2t is a solution to y" – 5y' + ay=0 then a=

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Q: This is the solution of y" + 3y' + 2y = 8 (t – 1), y (0) = 0, y' (0 O y = [e+-e "]U (t – 1) O y = [e…

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Q: 6. S Se(x² + y³)drdy, wherein B = {(x, y) E R²; 1< x² + y² < 4}

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Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: What is the solution (xy- a) da + (x²y + y) dy = 0 when I = 2 and y = 1 %3D %3D o (+1) (y? + 1) = 10…

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Q: 2. y" – 2y' – 3y = e²", y(0) = 1, y (0) = 0, Yp(t) = -e2' /3 %3D

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Q: What is the general solution of zyda - (2 +3y) dy = 0 ? O a + oy In y Cy og In y = C 6y Iny cy? Quiz…

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Q: 4yy" + 2y' = 0 = y' =? A) y'= -In B) y' = In c) y' = 2n(cy) D) y' =-In E) = 4 1n

A: Given that 4yy"+2y'=0

Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

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Q: What is the particular solution of (2ay? + 3x?) dæ + (2æ²y + 4y³dy ) dy when 2 and y 1 O x? y? + x³…

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Q: Is y = cīt + cf is the solution to y" – 12y = 0? Prove it

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Q: 10. The general solution of y"+4y = 6e2" + 4 sec? 2x is:

A: 10. To find the general solution of the given differential equation in (10), first we find yh which…

Q: Obtain the general solution. (xy + y²)y' = y² O v? = x(In\xl) + Cx O y- x(In\xl) + Cx O x² =…

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Q: Find an actual explicit solution to y'=t/y,y(2)=- O y(t) = -(t^2 - 3)^1/2 O y(t) = -(t^2 - 3) O y(t)…

A: Given query is to find the solution for the differential equation.

Q: Give the general solution to -y + 2 ху a) Os = + Cx² b) Oy =x+Cx? c) Oy = 7x o or - d) Oyl x² + Cx-…

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Q: Show clear work on your paper. Is y пе a solution to 2æy" – Tæy' – n²xy = 0? - Оyes no

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Q: るmるz cm2 4 cm 7km?- こ Mm2 M2 20 cm. MM Thm- 000mAr Thm2 Ikm yikm -1000MY1000M 1000-0Com2 Jom2=2(1cm…

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Q: What is the particular solution of (3r + 2y?) da + (4ry + 6y2) dy = 0 when r = 2 and y = 0 ? O7+…

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Q: What is the solution of (xy? – x) dx + (a²y + y) dy = 0 when x = 0 and y = 3 %3D O (22 - 1) (y² – 1)…

A: Exact differential equations.

Q: What is the general solution of (y² - 3y – x) da + (2y – 3) dy = 0 %3D Oy? – 3y – x +1 = Ce- Oy? –…

A: Solution is here

Q: What is the particular solution of ayda (+2) dy=0 when z = 0 and y = 1? O e* = 4y(x + 2)² ○ 4e* =…

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Q: What is P-(y) if the given DE is xydx – (3y – x²)dy = 0? -2y 2y 2 y -2y-1

A: Given : Linear differential equation  Need re write in x form as follows dx/dy +P(y)x=Q(y)

Q: Find a particular solution to the DE: y"+ 3y' – 4y = e* xe B. Yp = C. Yp = x²e* D. y, = xe-x E. None…

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Q: The general solution to 6y dy -y =0 is da2 da O y = ce-3e + cze2a Oy = cje +cze y = C1e O y = cie 3…

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Q: This is the solution of y" + 4y' + 3y = 8 (t – 2) , y (0) = 0, y' (0) = 0 O y = [e-t-2) –e-8(t-2)] U…

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Q: 1.y' + 6t = e*t, y(0) = 2 2.y" + 6y' + 4y = 0, y(0) = 1, y' (0) = 0 3.y' +t = e5t, y(0) = 1

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Q: Find the general solution of y"-y'+6y = 0 O A. y = Ae + Ber O B. y = Ae 3* %3D + Bex O C. y = Ae* +…

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Q: 11. y" – 2y' + y = e', y(0) = -2, y'(0) = 2, yp(1) = Įře' %3D

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