2. 17. 4x y" 3/2-1/2 3y = 0, y(1) = – 3, y'(1) = 0, -

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

A: The solution is given as

Q: A normal is drawn at a point P( x,y) of a curve, it meets the x-axis at Q. If PQ is of constant…

A:

Q: Obtain the differential equation of the family of circles with center at point (h,k) and radius r.…

A: The equation of the circle having a center (h, K) and radius and radius r is given by:…

Q: 2. Find the differential equation of the family of curves as described below. a. Family of circles…

A: As you asked multiple question I solve only the first one 2.a) We have to find out the differential…

Q: 3. find dy/dx of y= sinh 2x

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Q: 2). 3rin y l dy dx [ 5 X In Xナ3

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Q: Find the Differential Equation of the following family of curves 4. Straight lines with slope half…

A: The equation of straing line is given byy=mx+cwhere,m=slope=dydxand, c=y-interceptat…

Q: 4. Which of the following represents the differential equation of the family of parabola having…

A: Follow the procedure given below.

Q: B. Find the differential equations of the families of curves. 5. Straight lines with slope and…

A:

Q: 6. Write down the differential, dy, of y = e3x.

A: to find the differential of y=e3x

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

Q: 4. Find the differential equation of a family of parabolas with axis parallel to the x- axis.

A:

Q: Obtain the differential equation of the family of curves described and sketch some members of the…

A: We will find differential equation of the given condition.

Q: Show that given differential equation is exact and hence salve it o COs…

A:

Q: 4) Find the singular points, residual values, ond of +he = (2 function,

A: The given function is f(z)=1(z2+2z+2)3 The singular points are the points where the denominator of…

Q: 3: The dimensions of a rectangular box are measured to be 75 cm, 60 cm, and 40 cm, and each…

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Q: 2. Find the differential equation of the family of circles having their center on the y-axis.

A:

Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

A: Given:  circles with centers on the line x – 2y = 3and passing through (3, 0).

Q: 2 1 Estimate -dx using the right endpoint rule with n = 4 3 1+x

A:

Q: In Problem, we have provided the slope field of the indicated differential equation, together with…

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Q: tind the general solution of the secondorder constont coettident non-hama geneous iner differential…

A:

Q: find the differential equation for the following families of curves. 8. Horizontal parabolas whose…

A: Consider horizontal parabolas whose vertices lie on y-axis. The objective of the problem is to find…

Q: 5. 2x sinh+ 3y cosh2) dx -- 3x cosh dy = 0

A:

Q: 5. Circles with center on the y-axis

A: Equation of circle whose centre is on 0,a isx2+y-a2=r2---(1)Differentiating (1) w.r.t  x we…

Q: 1- S7 cos(y)eSin(y)+9X dydx

A:

Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: We know sinh xcosh x = tanh x ∫tanh ax dx = 1alncosh ax + C    (where C is constant of integration)

Q: 1. The following table shows the number of absences and grades of 2 students in a Differential…

A: The objective is to compute r i.e correlation coefficient and to determine grades in differential…

Q: 3. Determine the differential coefficient of y 2x- 3 when x = 3 Give the answer correct to 3…

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Q: Find the Differential Equation of the family of circles with center on the line y = x, and passing…

A:

Q: 7. Find the differential dy of the function y = x (1-cos(x)). If the error in x is ", find the error…

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Q: 1. Discuss in detail the connections between differential and integral calculus.

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Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx

A:

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

A:

Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

Q: Find dy/dxin terms of x and y if ax^4−by^4=c^4 Assume that a, b and c are constants. dydx=…

A: Given : ax4-by4 = c4 a, b and c are constants. To determine dydx

Q: Obtain the differential equation of the family of curves described and sketch some members of the…

A:

Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

A:

Q: 5. а) Find the derivative of y = (cosh r)*. Show that the function y = e -2" (sin 3x + cos 3.x)…

A: we have to find the derivative of the function y=(cosh x)x2

Q: 5. Obtain the differential equation of the family of circles with center at point (h,k) and radius…

A: Please refer to the image below

Q: 1. Find the differential equation for the family of: 1. Circles passing through the origin with…

A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded…

Q: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

A:

Q: 1. Find the differential equation of the family of circles of radius r whose centre lies on the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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: 2) Integrate: S(29sinx + 6e + 5 cos x + Vx)dx

A: Given that, The integral ∫29 sinx +6ex +5 cosx+x5 dx By using ∫f(x)+g(x)dx =∫f(x) dx +∫g(x) dx ∫ 29…

Q: 2. Using your knowledge from Differential Calculus, Integral Calculus and Separation of Variables…

A: Given:-                     Using your knowledge from Differential Calculus, Integral Calculus and…

Q: Find the differential equations for each familyof curves under the following conditions: a)Straight…

A: We will find equations of line / curve as described and then use derivative to eliminate unknown…

Q: Evaluate S 0 2-9.x² dx using the Gamma function.

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Q: Find the differential equation of the family of circles with fixed radius and tangent to the x axis.

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Q: (1/4) Estimate the value of 82 a. approximation b. differentials

A: To estimate the value of 8214 by using a approximationb differentials

Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…