Find y(2) and yG) For fundion yft) that saticFies initial-valve dy +2 dy +y dt =2+ (t-3) 6 Ult-3) ; yo)=2, y'6) = ) dt?

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

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Q: Y"+y=secxtanx by using annihilatior methode

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Q: Given that fCx) = x"hc) h'(1)=6 Calculate f'(-1) =

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Q: EVaLuate W= X -*-cos't ,y=cost sint

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Q: Find y' if y = x* Inx

A: Differentiate the given function using the product rule. y'=ln xddxx4+x4ddxlnx Use the standard…

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Q: 6. A particle is travelling along the circular path x² + y² = 100. At the moment when the particle…

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Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: Find general soulution (x+1)dy/dx +(x+2)y=6xe^-x

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Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

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Q: Find 1. y = ar' + br constant) + cr+d (a, b. c.d

A: Given ,  y = ax3 + bx2 + cx + d      (a , b , c , d constant) We have to find dy/dx We know that ,…

Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x…

A: Solution:  To find the integrating factor of the given differential equations

Q: Find the integrating factor of y'+ 3(x^2)y = 4(x^2)(y^2)

A: Divide the equation with y^2.

Q: (x²y* + 2xy)dx + (2x³y³ – x²)dy = 0 -

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Q: Determine if seperable: 1. dy/dx = (y*e^x+y)/(x^2+2) 2. ds/dt = t*ln(s^2t)+8t^2

A: As per the guidelines I am answering only one question at a time. dy/dx = (y*e^x+y)/(x^2+2) which…

Q: Find df / dx and ðf / ðy. f(x,y) = e(x +y + 2)

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Q: Find dz/dx for the equitation xe^z +ze^y= x+y

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Q: y = v2x + (1//2) х2 +1

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Q: Determine the value of dy/dt at x = 2 when 3x² - 5x and dr/dt = 2. y = 1. 2. 3. dy dtx=2 dy dt=2 4.…

A: The given function y=3x2-5x. We have to find the value of dydt at x=2 and dxdt=2.

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

Q: 3 Differentiate y = 3t +²- cost+e' . t

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Q: y" + 2y' + 2y = 3te^(2t)

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Q: 2y"+y'-6y=0?

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is

Q: find fsub(x), fsub(y), and fsub(z): f(x,y,z)=e^yz+sinx)

A: Given,          fx,y,z=eyz+sinx

Q: 5y" — (y')¹ = y³ sinx

A: The given problem is to find dependent variable, independent variable, type , order ,degree and…

Q: Find dt dt dy dx dt dt "I and 1층 x = stet y = 2t + sin(t)

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Q: f'(x) = 3Xt7 21x 2X and FC) =G %3D Find FCx).

A: Integration formulae: ∫xndx=xn+1n+1+C∫12xdx=x+C∫enxdx=enxn+C

Q: Find dx/dt, dy/dt, dy/dx for  x=9t-9ln(t), y=6t^2-6t^-2

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Q: If Y Poisson(A) and A has pdf f(A) = e-^ for A > 0, elsewhere, find zero E(2Υ) V (2Y):

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Q: Find h'(x) if rsin 2x t2 cost dt h(x) = J3 %3D

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