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

Q: find the general solution of the pictorlal differential equation.

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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: The Cauchy -Euler equation is a a differential equation with variable coefficients. صواب İhi

A: The Cauchy - Euler equation  is a linear homogeneous ordinary differential equation

Q: Give an example of a linear, nonseparable differential equation.

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Q: ५ = (+गुंग्ट

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

Q: Find the solution to Integro-Differential Equation.

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

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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: The Bernoulli's and ricatti's differential equations have their G.S solved by reducing these…

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

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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: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

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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: 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: Consider the first order differential equation

A: Given, the differential equation,                          1xndydx=y2(x)where n∈ℕ.

Q: Based on a function, try to construct a non-homogenous differential equation with at least 2nd order…

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

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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: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y = "

A: The given differential equation is solved below in detail.

Q: The integrating factor of the linear first order differential equation dy dx sin2x- y+tanx Oa None…

A: The standard formula for the linear differential equation is dydx+P(x)y=Q(x). Here, P(x), Q(x) are…

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

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Q: The _______ of a differential equation is the power of the highest orfer derivative term in the…

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

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Q: Solve this exact and linear Differential equation in y.

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Q: Find the differential equation of all circles passing through the origin and having their centers on…

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Q: Define a differential equation.

A: A differential equation is an equation containing the independent variable x, the dependent variable…

Q: obtained in factored form a linear differential equation with real constant coeffiecients that…

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

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Q: Obtain differential equation of the family of curves with properties indicated

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Q: Explain thesteps to obtain the general solution of a 2nd order homogenous One Differential Equation?…

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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: Write down any two applications of first order linear differential equation.

A: Newton's law of cooling-  states that the rate at which the temperature of an object decreases is…

Q: Obtain the differential equation for the family of straight lines with x-intercept and y-intercept…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: State whether the given differential equation is linear or non-linear, ordinary or partial. Identify…

A: Consider the differential equation  y'+y=x2−2             ......(1)

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 ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

Q: Obtain the differential equation of the 5. Family of straight lines with x- intercept and slope…

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

Q: Find the differential equation of all family of circles in which the center lies on the line y = -x…

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Q: Show that OW

A: x2+y2-xdx-ydy=0x2+y2-xdx+-ydy=0                 -Equation1Let M=x2+y2-x and N=-y∂M∂y=2y , ∂N∂x=0As…

Q: 2. y"' + 4y' = sin x + 3 cos x

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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: 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: equation

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Q: Write a differential equation showing the family of lines with slope and y-intercept equal

A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.