What is the differential equation of the orthogonal trajectories of the family of curves x-3xy- 2y² = C?

Q: Draw a slope field for the differential equation / = 0.2x² + y

A: We have to draw the slope field for the following differential equation, y'=0.2x2+y

Q: The integrating factor of the differential equation as shown is e^(-y).

A: Given that: dxdy+x-y=0

Q: Use a computer algebra system to graph the slope field for the differential equation and graph the…

A: Given Data The integral is ꭍ03 xex²dx.   Let,

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

A:

Q: Select the differential equation that matches the given slope field. Is 1 141 O=-(2+1)*y? o -- 0--点

A:

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

A:

Q: What is correct form of the particular solution associated with the differential equationy"=8?

A:

Q: In y = C₁e* + C₂е¯x

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

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

A: Please check step 2 for solution.

Q: y" tuy=3(sct

A:

Q: Explain briefly the classifications of the Differential Equations?

A:

Q: Find the general solution of the differential equation with the help of lablace transform

A:

Q: What is correct form of the particular solution associated with the differential equationy'''=8?

A:

Q: Find a differential equation that corresponds to the given direction field.

A: This is a problem of slope field.

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 integrating factor of the differential equation xdy+ ydx= x3y6dy is

A:

Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: 3) Find the solution af equation that satisties the qiven mitial condition. of the differential L0…

A:

Q: What is the differential equation of the orthogonal trajectories of x3 = Cy? www (1) 3xdx + 2ydy = 0…

A:

Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

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: Identify the differential equation that produces the slope field below. // ||// // 2.

A:

Q: obtain the differential equation of the family of straight lines passing through ( 0,1)

A:

Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

A:

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (2D4 +…

A:

Q: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

A:

Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

A:

Q: 2. dx + 2x dy/y 2x2 y2 dy

A:

Q: Obtain the differential equation of the family of lines passing through (-1.1).

A:

Q: What is the differential equation of the given 1 parameter family of solutions?

A:

Q: Obtain the differential equation of all straight lines with alebraic sum of the intercepts fixed as…

A:

Q: Find the general solution of the differential equation and check the result by differentiation.…

A: On simplification, we get Now integrating on both sides, we get

Q: What are the roots of the characteristic polynomial for the differential equation y" + 4y' – 5y = 0?

A: Given differential equation:-   y" + 4y' -5y = 0

Q: Match the differential equation with its direction field. y' = 5(x + y) – 1 -0.6- --0.4 - -0.2 0.2…

A: Given that y'=5x+y-1 Let fx, y=5x+y-1 then y'=f(x, y) As, we can see in given problem f(x, y)…

Q: Find a differential equation of the family of cubics cy² = x² (x – a) with 'a' held fixed.

A: The given expression is,  Assume 'c' as the arbitrary constant and 'a' as a parameter. Take log on…

Q: Find the serial solution of the differential

A: We have to find out the series solution of the differential equation y''-xy=0 at the neighborhood at…

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

A: By using the Separation of Variables Method.

Q: Find the general solution of the differential equation and check the result by differentiation.…

A:

Q: 4te dt TOT

A:

Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: Can you please verify that the given two-parameter family of functions is the general solution of…

A:

Q: What is the integrating factor for the linear differential equation xy' – 2y = x?

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: 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