Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of curves -Зх y = e-3* (Acos3x – Bsin3x)

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: The Cauchy -Euler equation is a a differential equation with variable coefficients. صواب İhi

A: The Cauchy - Euler equation  is a linear homogeneous ordinary differential equation

Q: Find the solution to Integro-Differential Equation.

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Q: Find the general or particular solution of the first ordered linear differential equation. Number 5…

A: This question is related to differential equations, We will solve it using given information.

Q: Find the differential equation by rlimaniting the arbitary constants from

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Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

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Q: obtain the differential equation of: Circles with center on the line y = -x and passing through the…

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Q: What is a separable differential equation? How do yousolve it?

A: In a separable differential equation, we separate the variables and then take the integration of…

Q: Which curve solves the differential equation and passes through the point (0,1)?

A: Using variable separable for solve differential equation.  Let -x2=t then taking integration on both…

Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: Obtain the differential equation by eliminating all arbitrary constant.

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Q: Find the differential equation of the family of curve Straight lines with slope half the value of…

A: solutionGivenstraight line y=mx+CAlso givenslope =m=dydxC= y interceptat x intercept, y=0Also given…

Q: Form the differential equation by eliminating arbitary constant  y=Ae-3x+Be2x

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Q: Find the differential equation of all straight lines at 2- unit distance from the origin.

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Q: Based on a function, try to construct a non-homogenous differential equation with at least 2nd order…

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Q: differential equation is given as

A: In this question, the concept of the differential equation is applied. Differential equation A…

Q: The _______ of a differential equation is the power of the highest orfer derivative term in the…

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Q: Determine the differential equation of the family of lines passing through the origin. (SOLVE BY…

A: Lines passing through origin can be taken as Y=mX

Q: Form the differential equation by eliminating arbitrary constant  y=Ae-3x+Be2x

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Q: Find the differential equations of the families of curves. 1.) Straight lines with slope and…

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

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Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: Family of lines passing through (-2,0)

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Q: Find the genelal solution of the differential equationi %3D

A: Given: y+14ty'=14y+4t ⇒dydt=14y+4ty+14t ...(1) This is a homogeneous differential equation, to solve…

Q: Find the differential equation of the family of curves. 1. Family of lines where x-intercept is…

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Q: EQUATION

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Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

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Q: Find a differential equation of the family of circles with center on the line y = -x, and passing…

A: Let, the equation of the family of circles with center         on the line y=-x & passing…

Q: If the family of curve has 3 arbitrary constants then the corresponding differential equation is a)…

A: See solution below

Q: Write down any two applications of first order linear differential equation.

A: Newton's law of cooling-  states that the rate at which the temperature of an object decreases is…

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: 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: differential equation

A: Please refer to the image below

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: Find the differential equation using elimination of arbitrary constants

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Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: 27. Obtain the differential equation having the solution as the equation representing all circles of…

A: The differential equation of all circles of radius 1 and centers on  y=x

Q: Show that a separable differential equation is exact differ-ential equation.

A: According to the given information, it is required to show that a separable differential equation is…

Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

Q: Obtain the differential equation that describe the family of curves.

A: The general equation of the circle isx-h2+y-k2=r2where (h,k) is the center of the circle and r is…

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

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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: arabolas with axis parallel to the y-axis

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Q: .Determine the differential equation by eliminating arbitrary constants and also write the order

A: Given: y=c1x+c2x+x3-7x2+27x-60+60xex                                                 Equation 1 On…