Find explict solution of the foilowing initial-value problem dy yoanx?, yla)of %3D dx

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

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Q: In(x) 1. Evaluate -dx if possible. If not possible, explain why.

A: As we know that the integration by parts:- ∫udv=uv-∫vdu

Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: arctan x Xe fel Xaresecx d

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

Q: d VE evedt dx d -S Intdt dx 1

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Q: 2. dy dx

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Q: 1. Ye = cost- sec(at) %3D ans: =-2sin t - asec(at) tan(at)

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Q: 2. The rate at which the total average of COVID cases is dx increasing at x = 10 tents and 1 tent…

A: The solution are next step

Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: first and second derrivative of: y=Arccos(e^2x)

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Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

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Q: From the differential equation by elimaniting arbitary constant y =ax'+ bx²

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Q: ach to solve omogeneous ential equatior

A: Given - The differential equation To find - Use the superposition approach to solve the given…

Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

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Q: What is the differential equation of the orthogonal trajectories of the family of curves y = Cx ?

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Q: From the differential equation by elimaniting arbitary constant  y=ax3+bx2

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.

A: Equation of straight line: y=mx+c Where, m = slope  c = y-intercept

Q: Differentiate. y =x° In x- dy II

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Q: - ((x3 + x)sech(In x)) = dx EX)-

A: To find  ddx(x3+x)(sech(ln x) We use product rule  d(uv)=udv+vdu Let  u=x3+x,     v=sech(ln…

Q: The rate at which the total average of COVID cases is dx increasing at x = 10 tents and 1 tent per…

A: Given,    no. of tent = 25 ,  average no. of cases=6

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: Use a technique of integration or a substitution to find an explicit solution of the given…

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Q: Solve ∫xn ln x dx in tegration by Parts?

A: Given:               ∫xn ln x dx Apply integration By Parts:              ∫xn ln x dx=ln x∫xn…

Q: Use Bernoulli's Equation dy/dx+ycotx=1

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Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: sec Vn du in

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Q: dy/dx of y=sec^-1 (5x)

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Q: •2 5. Calculate | x In(3x)dx.

A: Given integral:

Q: ex/Eveiluene the fallowing integrels 21/dx XInx

A: The given integrals are 1. ∫dxx1-x2. ∫dxx ln x

Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

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Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: Differentiate implicitly to find dx 2y? - xy + 3x = 4 dy dx

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Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

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Q: A population x of rats satisfies the DE dx /dt ka?. Initially there are x(0) = 2 rats, and their…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Change the order of in tegration 10 10 dy dx

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Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: Calculate •3 2x -dx et – 1 - -3 by Gaussian quadrature with n = 3.

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Q: The rate at which the total average of COVID cases is dx increasing at x = 10 tents and = 1 tent per…

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Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: (In x) dx Integrate: 1

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Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

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Q: dy y(ln y – In a + 1) dx 1 C = -ln C = -In Option 4 O option 2 1 C =-In

A: This question is based on solution of differential equation.