9y''-12y'=4y=0     y1=e2x/3 using reduction of order

Q: 2 A manufacturer makes a product, of which the principal ingredient is a chemical, X. moment, the…

A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

Q: 7. Evaluate Soy4 2 - y dy using Gamma/Beta function.

A: The solution is given as

Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: How would I approach this problem algebraically, and analytically? I have attached a photo.

A: To find:

Q: 9-x² dydx. 2

A: x = 0 r cos θ = 0 θ = π2 x = 322 r cos θ = 322 r = 322 sec θ   y = x r sin θ = r cos θ θ =…

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A:

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A:

Q: 5. Which statement is true about solutions of y(x), as a differential equation whose slope field is…

A: Correct option is A

Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))

A: We will be using the integral formula of log function to solve the above given integral. We can…

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A: Differential equations are the equations in derivatives of the dependent variable w. r. t…

Q: Find the general solution using reduction of order. 1. y''=ln(x)

A:

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

A:

Q: Obtain the differential equation for the family of circles with center on the line x = 8.

A: The general equation for a circle can be written as

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A: Solution:

Q: Use Milne's method to obtain the value of y(0-3).

A:

Q: Write in your words about some of the applications of the partial differential equations

A:

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A: To show that the given identity is true,

Q: What is the differential equation of the orthogonal trajectories of x3 = Cy? www (1) 3xdx + 2ydy = 0…

A:

Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family…

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A:

Q: Find a double root of the equation f (x) = x' -x -x+1 = 0 by generalized New- ton's method.

A:

Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: dervivative of (ln(cosh(x)))3

A: Given data:     The given function is: y=(ln(cosh(x)))3. STEP-1 Assume u=coshx and differentiate it…

Q: 4. Find at the point (1,1,1) if ln(xyz) = 1 əx

A:

Q: y ln x - x ln y = 1

A: ylnx-xlny=1Treat y as yx

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A:

Q: Write in your words about some of the applications of the partial differential equations With…

A: Given :- some of the applications of the partial differential equations

Q: 2. A company has contracted to manufacture 10,000 closed wooden crates having dimensions 3 m, 4 m,…

A:

Q: 6. Why is it very easy to conclude that x2 dx diverges without making any integration calculations?

A: This question is taken from the calculus and sub-topic is improper integral in which we have to give…

Q: 2. The radius and height of a right-circular cylinder are measured with errors at most 0.1 inches.…

A:

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A:

Q: Suppose f is differential equation on (-inf, +inf), f(3)=12 and f'(3)=-2 use linear approximation to…

A:

Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

A:

Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

A:

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A:

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

A:

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A:

Q: Suppose sinh 2x, y2 = 6x, y3 = cos 2x are solutions of a linear homogeneous differential equation…

A: To find the differential equation :-

Q: ly 3)[e^(-2y)]dy

A:

Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

A:

Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

A:

Q: Find the differential equation of Parabolas whose vertex is on the y-axis and whose focal distance…

A: We will find out the required differential equation.

Q: 4. Find derivatice y 4=In (x 3-4x²+1)

A:

Q: Find the orthogonal trajectories of family of curves y = ax5 (SOLVE BY USING DIFFERENTIAL…

A:

Q: A flexible stretched string is constrained to move with zero slope at one end x=0, while the other…

A: Given: A flexible stretched string is constrained to move with zero slope at one end x=0, while the…

Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

A: Given, Initially, the tank holds 300 gallons of water in which 50 pounds of salt have been…

Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…

Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. 1. Parabolas with vertex and…

A:

Q: Obtain the differential equation of the family of parabolas with axis parallel to the x axis and…

A: