y'' – 37y" + 316y' – 780y = (e6* + e-5x)2

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: How do you test for the exactness of differential form?

A: given,      to test for the exactness of differential form

Q: .3 X ナメ-2 find x using fixed point method where X= 015 (initial Value)

A: The given function fx=x3+4x-2 Find the value of fx at x=0.5. f0.5=0.53+40.5-2=0.125>0 Find the…

Q: find the timear form of this differential equation

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: Find the differential equation by rlimaniting the arbitary constants from

A:

Q: 5. Which statement is true about solutions of y(x), as a differential equation whose slope field is…

A: Correct option is A

Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

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

A: Please check step 2 for solution.

Q: A company will sell N units of a product after spending $x thousand in advertising, as given by N =…

A: We are given that N=50x-x2, 5≤x≤25. Now, dN=50-2x dx. First, increase the advertising budget from…

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

A: We need to find the Differential Equation for the family of curves y=Cx for which we need to…

Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

Q: What differential equation corresponds to an RC circuit with a resistor of R = 100 and a capacitor…

A:

Q: representing the family of circles through the fixed points (-c, 0) and (c, 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: Identify the differential equation that produces the slope field below. // ||// // 2.

A:

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

A:

Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

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: Give two examples of your own for order and degree of a differential equation

A:

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: An individual improperly disposes of 8 parakeets in a nearby woodland, where they begin to reproduce…

A:

Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

A:

Q: Find the differential equation of family of circles tangent to the x-axis.

A:

Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the differential equation of all family of straight lines at a fixed distance p from the…

A:

Q: Find the differential of y² + x = 4.

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

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 which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

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

A:

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: . 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: If fex, yJ-o find dy /af partial derivative off dx

A:

Q: (a) By using the chain rule and the derivative (1, if x>0 4 (1xl) ={-1, if x<0 %3D find (lx-x) vxE…

A: Use the chain rule to differentiate the above given function and than use the given derivative of…

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: The differential equation governing the decay of a certain radioactive substance through time is dq…

A:

Q: The total number of reported cases of an illness in a large city days after the start of an outbreak…

A: According to the given information the total number of reported cases of an illness in a large city…

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: 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: In a certain tropical forest, “litter” [dead vegetation like leaves and vines] forms on the ground…

A:

Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

A:

Q: If the family of curve has 4 arbitrary constants then the corresponding differential equation is c)…

A:

Q: If an object's mass is changing at a rate proportional to its weight at a given time, does it make…

A: Two quantities are said to be proportional if they are increase or decrease in same manner. In such…