-2x y" + (e by = 0 (e-* = z) -

Q: What form of the particular solution is appropriate for the differential equationy" - y'=4?

A:

Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

A:

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

A:

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: (3nny-5x)dx+ 2x*cotydy = 0

A:

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: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: Define in your own words   Differential equation

A: Differential Equation: Any equation which contains derivatives is called the differential equation.…

Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

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: From the differential equation by elimaniting arbitary constant y =ax'+ bx²

A:

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

A:

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

A:

Q: From the differential equation by elimaniting arbitary constant  y=ax3+bx2

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…

Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

A:

Q: in differentials of functions, if x change by a small amount dx then, what will happen to y?

A: Let a function be y=fx then here y is the dependent variable and x is the independent variable. The…

Q: ① Solveing dy - - x dx = 。 ㅎ

A:

Q: 1. What is the integrating factor of the differential equation ydx – xdy = 0 using case 1?

A:

Q: Find the differential equation of the family of cissoids: y^2 = x^3/ (a-x)

A: Perform the differentiation and eliminate the constant term in the differential equation to obtain…

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: A student carrying an influenza virus returns to an isolated college campus with 1,000 students.…

A:

Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

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

A:

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: What is the solution of the partial differential equation X

A: x∂z∂x+y∂z∂x=z is first order partial differential equation. For solution we use Lagrange's method…

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

A:

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: We will show that the given differential equation describing such curve is correct and will find the…

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

A:

Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: . Give an example of a nonlinear differential equation of the formy = f (y).

A: Solution: Nonlinear Differential Equation: A nonlinear differential equation is a differential…

Q: Form the differential equation by eliminating arbitary constant from y = cx+c-c3,(c)

A:

Q: Can you provide atleast 5 average or complex examples of Ordinary Differential Equations?

A: I listed 5 example of ODE with answers.

Q: Find the ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

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

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

Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

A:

Q: Find the differential equation using elimination of arbitrary constants

A:

Q: 2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

A: To find: the differential equation of parabolas on the x- axis.

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: From the differential equation by elimanating arbitary constants  y=ax3+bx2

A:

Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

A:

Q: What is the differential equation of family of parabolas with vertex on the x – axis and axis…

A: General equation of parabola parallel to y-axis and having center (h, k) and having distance 'a'…

Q: 4. Obtain the Differential Equation from the family of curves of the form y = xC

A: To form a differential equation from given family of curves. Differentiate given family of curves…

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

A: