find the general solution of y''+2y'-3y=(5x^2-7)e^-x

Q: x + 4y3) dy- ydx = 0

A: We have to find the solution of the given non exact differential equation.

Q: dx dy dz y +z X + y X +2

A:

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

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

A:

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

A:

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

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

A:

Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

A:

Q: In y = C₁e* + C₂е¯x

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

Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

A:

Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: Find the Differential equation by eliminating the arbitrary constant from the given  y = Acos3x +…

A:

Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: The system changed so that the right-hand side of the differential equation is 0. Use the…

A:

Q: y(4) + 3y"" — 10y" = 0

A: Given differential equation y(4)+3y'''-10y''=0 To find the general solution, lets find auxiliary…

Q: When the linear differential equation is multiplied by an integrating factor the equation will…

A: Answer of given question is written in below steps.

Q: Solve for differential equation of (y/x + 6x) + (ln x - 2)y′ = 0

A: Explanation of the answer is as follows

Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.

A: Equation of straight line: y=mx+c Where, m = slope  c = y-intercept

Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

A:

Q: Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: The differential equation of the family of straight line with the algebraic sum of the intercept…

Q: 3x + y + z = 0; z(0) = −1

A:

Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

A:

Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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: Assume that the rate of evaporation for water is proportional to the initial amount of water in a…

A: Here, given that rate of change of evaporation is proportional to the initial amount of water.…

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: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

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: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: Determine the particular solution that satisfies the differential equation and initial condition…

A: General solution of the differential equation

Q: Classify the differential equation 4 4 4 = 0

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: y' - 2x = -e-t; y(0) = 2

A: y' - 2y = - e-t, y(0) = 2 Thia is a linear differential equation of first order  Integrating factor…

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 genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

A: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

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: by

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…

A:

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

A:

Q: y' +y Inx = 0

A:

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

A: To describe the separation of variable technique.

Q: 3. y"+ y= 2rsina

A: According to the bartleby policy , I can only answer one question.  So I answered  first question.

Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

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: What is the degree of the differential equation:

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: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.