solve given IVP showing details of your work,   y^iv  +3y'' -4y=0;  y(0)=3, y'(0)=2,y''(0)=-2,y'''(0)=-8

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: The number of internet users in a country increases at a rate that is jointly proportional to the…

A: Let number of people having personal computer be C(constant), number of people having internet be N.…

Q: What is a modeling with differential equations?

A: Modeling is the process of writing a differential equation to describe a physical situation.

Q: What is the differential equation of the orthogonal trajectories of the family of curves x-3xy- 2y²…

A: This is a simple question based on differential equations which could be solved using the basic…

Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: Find the differential equation of straight lines with slope and x –intercept equal.

A: Recall:  The equation of straight line is y=mx+b where, m=slope, b=y-intecept   Given, slope and x…

Q: Find the differential equation (Family of Curves): Lines with slope equal to the negative reciprocal…

A: Please check step 2 for solution.

Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: y' = (x+y– 2)² (х-у)?

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Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

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Q: 5. Obtain the Differential Equation from the family of vertical parabolas whose vertex is at (h,k).

A: Formation of the differential equation

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

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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…

Q: Form the differential equation representing the family of hyperbola having the center at the origin…

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Q: Solve the differential equation using variation of parameters

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Q: Obtain the differential equation having the solution as the equation representing all parabolas with…

A: The equation of parabola with vertex and focus on the x-axis is given by, y2=4ax…

Q: Find the differential equation of the families of curved where, parabolas with vertex on the X-axis…

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Q: obtained in factored form a linear differential equation with real constant coeffiecients that…

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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: 4.3√√√7

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Q: Find the differential equation having the solution as the equation representing all lines with slope…

A: Consider the family of straight lines with slope m and y-intercept c in slope-intercept form as,…

Q: Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a…

A: This question is from differential equation.

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: Determine the differential equation of all circles whose center is on the y-axis.

A: Solution...

Q: Obtain the differential equation of all circles with center on line y = -x and passing through the…

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Q: Parabolas with axis parallel to the y-axis

A: Equation of parabola parallel to y-axis and having center(h,k) and having distance a from vertex to…

Q: what is the differential equation of the family of parabolas that has a vertex along the line y =…

A: Given that Parabola that has a vertext along the line y=-2 , and distance from vertext to directrix…

Q: Obtain the differential equation for the family of straight lines with x-intercept and y-intercept…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

Q: Find the differential equation of the parabolas with vertex on the x-axis and axis of symmetry is…

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Q: Find the differential equation of All parabolas whose axis is parallel to the y-axis. Draw at least…

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Q: Solve for Higher Differential Equation using Variation of Parameters et x" – 4x' + 3x 1+et

A: see below the answer  as per bertleby I have to solve first question only, please resubmit for other…

Q: Obtain the differential equation of the 5. Family of straight lines with x- intercept and slope…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Obtain the differential equation having the solution as the equation representing all circles of…

A: The solution is given as

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: Solve for the differential equation representing the family of parabola having its vertex at the…

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

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

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

A: The general equation of family of parabolas with axis parallel to the x-axis, with a vertex at a…

Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

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Q: After a correct transformation of variable, a homogeneous differential equation will be reduced to a…

A: We have to check given statement true or false

Q: equation

A:

Q: Write a differential equation showing the family of lines with slope and y-intercept equal

A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.

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

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Q: find the differential equation of a family of parabolas with an axis parallel to the x-axis

A: We have to choose the correct answer from the given option according to the given condition

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are