Use inspection to find four solutions to the differential equation: (y')^2+y^2=1

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: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: y' = y²-y ху?-у

A: The given differential equation is  y'=xy2-yx     It can be re-written as…

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: Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у' et

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Consider the differential equation.

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

Q: x3+ xy² + y)dx + (y³-

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Q: What is a separable differential equation? How do yousolve it?

A: In a separable differential equation, we separate the variables and then take the integration of…

Q: y = -CI cos 3x + C2sin 3X

A: Given, y=c1cos3x+c2sin3x We have to find the corresponding differential equation by elimination of…

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

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Q: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

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Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

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Q: Classify the entangled differential equation and find its general solution. y′ = xcosecx + y cotx

A: The given differential equation is of the form of  linear differential  . General form of linear…

Q: 3x2y +y2 2x3+ 3ху dy

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Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

Q: Classify the differential equation given below and find its general solution. y = xcosecx + y cotx.

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Q: Find the differential equation of all straight lines at 2- unit distance from the origin.

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Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

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Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

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Q: Solve the differential equation using variation of parameters

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

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: Solve the differential equation by variation of parameters. y" - y = cosh x y(x) II

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Q: Use variation of parameters to find a general solution to the differential equation: y"+y=sec (2)…

A: Variation of Parameters: Let y''+p(x)y'+q(x)y=r(x) be a second order non-homogenous ordinary…

Q: Find the general solution of the 2nd order Differential Equation using Variation of Parameters.

A: We will find the general solution of differential equation by using variation of parameters as shown…

Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

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Q: Find the differential equation which has y= asinx+bcosx+xcosx

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

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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

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

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Q: EQUATION

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Q: Consider the differential equation

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

Q: Form the differential equation by eliminating arbitary constant from y = cx+c-c3,(c)

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Q: By first finding an integrating factor, solve this differential equation. Give your answer in the…

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Q: dy :-y = xy2 dx

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Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

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Q: Solve the given differential equation by separation of variables. ds dr = KS

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Q: y' +y Inx = 0

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Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

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: When is an equation considered as a solution of  differential equation?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.