(3) SaʼIn a dx =

Q: 3 dx|

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Q: find the timear form of this differential equation

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Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: what is the Non-exact differential equation?

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Q: An integrating factor for the differential dy + my = e-m² is dx equation

A: Given differential equation is dydx + my = e-mx

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

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Q: Consider the differential equation.

A: Solution: The objective is to find r(t)

Q: Find the derivative of the function. y= -6x In (5x + 8) dy dx

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Q: Find the differential equation characterizing the family of curves described tangents to ky = x^2

A: We need to find the differential equation characterizing the family of curves described tangents to…

Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

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Q: If X and Y have joint pdf given by

A: From the given information, fX,Yx,y=2I0,yxI0,1y                =2, 0<x<y, 0<y<1

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: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

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

Q: Define in your own words   Differential equation

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

Q: Find the general solution of the differential equation for interest compounded continuously,dA/dt =…

A: dA/dt=kA

Q: Explain briefly the classifications of the Differential Equations?

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Q: What are modeled with differential equations?

A: Here we define the differential equations.

Q: Form the differential equation by eliminating arbitary constant  y=Ae-3x+Be2x

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Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: Find the derivative. [미 In dx x +3 x-3

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Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

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

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

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Q: al csc x y cotx

A: We have to find the intregating factor of given differential equation.

Q: In (1 + 2), What is the derivative of y .? e2z %3D

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Q: Find the differential equation of the family of circles with center on x-axis.

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

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Q: explain the concept of a standing wave and how it applies to differential equations

A: A standing wave, is a wave which oscillates in time whose peak amplitude profile will not move in…

Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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

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Q: Integrate: S dx

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Q: Use Gamma Function to evaluate dx

A: The definition of gamma function states that, Γn=∫0∞tn-1e-tdt where Γn=n-1! and Γ12=π. The given…

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: Consider the differential equation

A: Given, the differential equation                                         y''+1xy'+y=0

Q: Find the given derivative. DX 5x -- Dx 5x 1/3 1/3

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Q: find the differential equation of the family of logarithmic curves whose equation is Cy = ln(Cx).

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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 dy/dx by implicit differentiation. 3x +у - 2 + х?у? У 3

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Q: -2(х-1 — х?) dx

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Q: Solve the differential equation tan x- dy ey-cotx dx

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Q: Identify which differential equation(s) in Table 1:

A: In this question, we need to check the system is undamped or damped for a given set of differential…

Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: Find the differential equation of the family of circles with fixed radius and tangent to the x axis.

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Q: Find the differential equation corresponding to y=acos(logx) +b sin(logx)

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Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: Determine which differential equation is linear:* (tan 2x)(")+(x-23)(»")' = In.x

A: A differential equation is linear only if it satisfies the conditions below. The degree of the…

Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

A: