11. y"-y'-12y = 0; e-3*,e**,(-0o, 00) 4x

Q: 7. Evaluate Soy4 2 - y dy using Gamma/Beta function.

A: The solution is given as

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:

Q: 7. Sketch some of the family of curves of the differential equation :

A: Given : The differential equation dydx=-y2x. To sketch : some of the  family of curves of the given…

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

A:

Q: Vhat is the particular solution to the differential equation with the initial ondition y(3) = -4?…

A:

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: en differential equation by 3y" + 3y¹ - y = x - 5ex + foret + fot²ex - x 2x

A:

Q: differential equation of the family of circles whose center is on the line y = 3x

A: Please refer to the image below

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

A:

Q: A differential equation is considered to be ordinary if it has more than one independent variable.…

A: Given the statement

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

A:

Q: Show that the solution of the differential equation (1–x*) = 2x(1+ y). dx 1+x given that y=1 when…

A:

Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

A: Given:  circles with centers on the line x – 2y = 3and passing through (3, 0).

Q: The differential equation ry" + 3y - 7y=seca is normal on any open interval not containing a = 0.…

A:

Q: Which óf thé fóllówing directión fiéld will represent the differential equation y' = y + 1 Option 1…

A: Direction field: A graphical representation of solutions of a first order differential equation is…

Q: tind the general solution of the secondorder constont coettident non-hama geneous iner differential…

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: In a city of a fixed population of "P" people , the rate of change (with respect to timet) of the…

A: Given Data: A city has a fixed population is P. Also given, the rate of change (with respect to…

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

A:

Q: 3. Determine the differential coefficient of y 2x- 3 when x = 3 Give the answer correct to 3…

A:

Q: y ln x - x ln y = 1

A: ylnx-xlny=1Treat y as yx

Q: A solution which contains as many as arbitrary constants as the order of differential equation is…

A:

Q: Find the Differential Equation of the family of circles with center on the line y = x, and passing…

A:

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: Suppose your bank offers 3% continual annual interest on the balance of your cer- tificate of…

A: Given, B(t)=balance at time t and , annual withdrawal of $300 Considering the interest , we know…

Q: Suppose f is differential equation on (-inf, +inf), f(3)=12 and f'(3)=-2 use linear approximation to…

A:

Q: 5. Obtain the differential equation of the family of circles with center at point (h,k) and radius…

A: Please refer to the image below

Q: 3. Show that the differential equation zxy

A:

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

A:

Q: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

A:

Q: Find general solution of differential equation. Enter transient terms if any. x^2y' + xy= 7

A: Here we will find out the required general solution for given differential equation.

Q: 24. What does it mean to say that dV is an exact differential?

A: What do you mean by dV is an exact differential.

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: Jesaki Inc will sell N units of product after spending $x thousand in advertislhg, as en by N = 74…

A: The given data is: N=74x-x2 To use differential approximation to estimate the increase in sales that…

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

A: See solution below

Q: From the differential equation by eliminating the arbitary constant A and B from the equation y = e*…

A: The objective is to form the differential equation by eliminating the arbitrary constant A and B…

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: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

A:

Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

A:

Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: Suppose that the population Pt) of a country satisfies the differential equation P(400 - P) with k…

A: It is given that population P(t) satisfies the differential equation-…

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

A:

Q: If the differential equation +8. + 9x = m dt2 is overdamped, the range of values form is? Your…

A: Let the differential equation is,                       ad2xdt2 +bdxdt +cx =0 .............(1) It…

Q: 2. Using your knowledge from Differential Calculus, Integral Calculus and Separation of Variables…

A: Concepts Used:-1) If f is an even function, i.e. f(x)=f(-x), then∫-∞∞fdx=2∫0∞fdx2)Integration by…