40 mz 0XT = mz TYÖ = Y mz X0Y =

Q: Solve dy = 21( y² + 9) dt. 1. x² + y° Solve y'= xy 2.

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Q: 10 Find E [Y] = È E [Y|X = a] px (a)- %3D a-1

A: Mean of a Geo(p) distribution is given by, 1p Here it is given that,  Y|X=x ~ Geo(x10) Therefore…

Q: dy (2) Find at x =-1 if y = u³ + 5u – 4 and u = x2 + x dx

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Q: Solve y" (t) –ky (t) = F(t) if y (0) =y' (0) = 0, k#0.

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Q: dy = ay + by", dt a > 0, 6 > 0, -∞ < Yo < ∞

A: A differential equation is given by, dydt=ay+by2 for a&gt;0, b&gt;0, y0&gt;0. The objective is to…

Q: (x + 2y – 4)dx – (2x + y – 5)dy = 0 What is the particular solution when y(3)=1?

A: Differential equation  can be solved by using By variable separable method  By homogenous…

Q: 8. Jydx + (1+ x)dy = 0,,when x = 1, y = 4

A: Differentiable equation can be solved separating the variables on each side and then integrating…

Q: 10. (x2+y)+(x+ey)dydx=0

A: We have given the equation;

Q: 6x-9 =? dy Sx + uy dt

A: Given system of differential equation is dxdt=6x-ydydt=5x+4y In matrix form, we can write it as…

Q: 3t y" – 3y' – 4y = e|variationof parameters

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Q: 10. Find the particular solution of √√x + √√yy' =0 where y(1) = 9

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Q: Q.5 Consider the Sturm-Liouville problem d -(xy')+(2-1)y=0, dx y'(1)=0, y'(e²)=0

A: Given,           xddxxy'+λ-1y=0,    y'(1)=0, y'(e2)=0.

Q: = 11. Solve x²yd²y + x dx² .2 dy dx - y)²³-3y² = 0.

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Q: 3. fy dy + 10g = e + dt +7 -2t

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Q: 1 1 LGt-5- At²est + Ceisinh Dt = [(s – 1)3 ' s² + 2s – 5]

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Q: -2x 5. y" + 4y'+ 4y= e' In x SAL -2.x V = e (2 In r – 3) + Ans

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Q: SOLVE BERNOULLI´S ODE y1/2 (dy/dx)+ y3/2 =1 ;   y(0)=4

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Q: dy 2ty(y - 1) dt 3(1 + P):

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Q: Q.5 Consider the Sturm-Liouville problem d x(xy')+(2-1)y=0, dx y'(1)= 0, y'(e)=0

A: Given,                  xddxxy'+λ-1y=0,       y'(1)=0, y'(e2)=0

Q: (2) y(x) = 1+1 So (1 – 3xt)y(t) dt

A: Given that the equation is yx=1+λ∫011-3xtytdt Let take Kx,t=1-3xt Then yx=1+λ∫01ytdt-3xλ∫01tytdt. So…

Q: 3. (4r'y-15r-y)dt + (r +3y-1)dy = 0 CS Scanned with CamScarner

A: We can solve this using exact equation of differential equation

Q: 46. Solve: x dy - y dx 2x^2 y^3 dy * xy^4 - 2y + cx = 0 O xy^4 - 2y + x = c x^2 y^3 + 2y + cx 0 O…

A: Topic:- differential equations

Q: 2. Solve the IVP: dy + 2y = te-2t, y(1) = 0 dt

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Q: 3y" – 6y + 6y = e" sec x (variation of parameters) -

A: The given differential equation is 3y''-6y'+6y=exsecx to find the general solution using variation…

Q: 5) If y- x-2x and at ts V2 Find dy

A: To find dy/dt at t=sqrt(2)

Q: 6. xydx + 2(x² + 2y²)dy = 0 ; where x = 0, y =1

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Q: 9. Obtain the general solution to the equation. (X² +36) dy + xy = 7x, y(0) = 2 dx

A: To obtain: The general solution to the equation X2+36dydX+Xy=7X, y0=2

Q: (b) Use the substitution u = x In y to solve the equation (xy + 2ry ln² y + yIn y)dr + (2x² In y…

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Q: 1. So² – 1),/ỹdy ²+1 2. S dx +3x 3. SEVT + 12 dt 4. dy 5. S 4-3 6. J +5x*+16+1

A: topic - indefinite integral note : as per bartleby guidelines, we are supposed to answer only first…

Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: сох3х S* (1/4 – 1) dt dx J3

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Q: 4. Solve the Bernoulli's equation dy +2xy– y' =0. dx (MAT300/OCT2008/8M) 1 1 Ans: 14 +c or 5x 4 + cx…

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Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

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Q: 2 16 12y dx dy Vx +y? 0 4

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Q: 1. 4y" + 36y = csc 3x (variation of parameters) 2. y" + y" = e" cos x (undetermined coefficients)

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Q: 3 5. [20 points] Solve (x + y)dx+ dy=0 +x-

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Q: solve for      xydy + 2(x^2 +2y^2)dy = 0 when x=0 and y=1

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Q: .1 S S, x(x² + y²)²/3dydx

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Q: 1 dy t dt -4y + 6 %3D

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Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry ln² y + yln y)dr + (2x² In y +…

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Q: Vy2 -25 dy S y3

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Q: ²+1 2e + t dt dx V4et – t² 2x

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Q: LLL 4 .4 4 Evaluate kz dx dy dz 0.

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Q: 4) Solve d²y + 4y = 2e¬t %3D dt2 Where y(0) = y(0) = 0 %D

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Q: 4. Find the solution of dy 3y = x. dx

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Q: 1. Find the general solution of: dx dy _y+xy²+x² x+x²y+y³

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Q: (a) Vx² – 16y' = 11x - (b) y ln x – xy' = 0 (c) (x – u) dx – (x + y) dy = - -

A: Given that: (a)x2-16y'=11x(b)ylnx-xy'=0(c)(x-y)dx-(x+y)dy=0   NOTE: As per our answering guidelines,…

Q: 14. Find dy if y = sec(x² – 1). |

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Q: 3y" – 6y' + 6y = e sec a (variation of parameters)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.