The order and degree of the differential equation representing the family of parabolas y = 4a(x-h) are and

Q: The path travelled by a long period comet as it passes near the sun is described by a hyperbola.…

A: Given:- The path travelled by a long period comet as it passes near the sun is described by a…

Q: Find the differential equation (Family of Curves): Strophoids : y2=x2((c-x)/(c+x))

A: If a equation consists of n arbitrary constants then the differential equation of the given relation…

Q: What is the differential equation of the family of circles with their centers on the y – axis and…

A: The given problem is to find the differential equation of the family of circles with centres on…

Q: 3. Find the differential equation of a family of parabolas with axis parallel to the x-axis.

A:

Q: a. Determine the equation of the family of parabolas whose axis is parallel to the x-axis and whose…

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Q: Find the differential equation of the family of circles having their centers on the y-axis. With an…

A:

Q: The indicial equation for the differential equation 2xy" + y + xy = 0 is 2c² - 1 = 0. True False

A:

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: Consider the differential equation: y'=t(y² + 1)

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Q: The solution of the differential equation y - 25y = e using the method of reduction of order is

A: y''-25y=e^5x g(x)=e^5x

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

A:

Q: A solution for the differential equation is y = Pe-3x/2 + Qe-x/2.

A: Here P and Q are two Arbitary constant ,so the heighest order of the differential equation is 2.

Q: x²(a+x) 2. Family of strophoids with the equation y² %3D a-x

A:

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

Q: The solution of the differential equation y^'=-2xy is a family of solutions of A. Lines Parabolas…

A: As per our guideline we are supposed to only answer first question.

Q: The equation x² + e¤y = c defines an implicit solution of the differential equation

A: We have to differentiate the given equation with respect to x first.

Q: Find general solutions of the differential equation      2x^2y-x^3y'=y^3

A: 2x2y-x3y'=y3 We need to find the general solutions of the differential equation.

Q: Determine the form of a particular solution for each differential equation. y'' - 2y' + y =…

A: We have to determine the form of a particular solution for each differential equation.…

Q: Find a differential equation of the family of parabolas with vertex on the y-axis, with axis…

A: Let the vertex is at a point (0,k). Then, the expression of the family of parabolas with axis…

Q: Example 9: Obtain the differential equation of the co-axial circles of the svstem x² +y² + 2ax+c² =…

A: Answer:

Q: 11. Obtain the differential equation of the family of parabolas y =x +c and sketch those members of…

A:

Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

A:

Q: 5. Obtain the Differential Equation from the family of ellipses centered at (h.k) whose semi-major…

A: Given data is: The semi-major axis is twice the semi-minor axis and the center of the ellipse is…

Q: The general solution of the differential equation Py' - 2y Inx ry" is

A:

Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

A:

Q: Solve this first order linear differential equation:  y'-3x2y=ex^3

A:

Q: The general solution of the differential equation 2x(y + 1) dx — у dy is:

A: Given the differential equation: Now,

Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: Find general solutions of the differential equation    (x+2y)y'=y

A: Given differential equation is Convert it in linear differential equation by simplifying. This is…

Q: 4. Find the Differential Equation and Orthogonal Equation of the family of parabolas with vertex and…

A: Let the vertex lies at (a,0) and focus at (b,0) So the general equation of parabola having axis as…

Q: What are the order and degree of the differential equation representing the family of parabolas y2 =…

A:

Q: Find general solutions of the differential equation  (x+e^y)y'=xe^(-y)-1

A:

Q: Find the differential equation of the family of parabolas with vertex ar Focus on the x-axis * O y =…

A: We have to find

Q: y'= 2.xy /(x² – y² )

A:

Q: Obtain the differential equation: Parabolas with vertex on the y-axis, with axis parallel to the…

A: This is a differential equation problem

Q: (a) The order of this differential equation is (b) Is the equation linear?

A: Given: d2ydt2+sin(t+y)=sint To find: (a) The order of this differential equation  (b) whether the…

Q: (y')³.x – (y')².y – 1 = 0

A: Assume y'=p, write the given equation in terms of y then differentiate the equation with respect to…

Q: (メyーx+24 -2) dx- (x+ 4x) 0

A:

Q: The differential equation of the family of hyperbolas with horizontal transverse axis and with…

A: Here is the solution of the given problem.

Q: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

A:

Q: By the method of change of constant, y"-2y'+y = e*/x X, %3D Solve the differential equation.

A:

Q: The solution of the differential equation: y - = y? is

A:

Q: Find the terminal value, lim y (r), for the solution of differential equation dy + 3z'y - 6z". dr

A:

Q: Find the differential equation of Parabolas with vertex on the x-axis, with axis parallel to the…

A:

Q: The solution for the differential equation dy dx tan-¹x 1 1+x² (et - y is

A:

Q: The path travelled by a long period comet as it passes near the sun is described by a hyperbola.…

A: Given- x-3ydx-3x-3ydy=0 and the boundary condition is y=1 at x=-1. To Find- The unique curve which…

Q: Obtain the differential equation of the strophoids y2 = x²(a+x) a-x

A:

Q: Find general solutions of the differential equation  (x^2-y^2)y'=2xy

A:

Q: The order and degree of the differential equation 14()(음) + 12음()y= 16 dy dx - dz5 dx are

A: The given differential equation is: