Solve for first odrer differential equation    (x^2+cosy)dy+(3x^2+2xy)dx=0 where; x=0 , y=π/2

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

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 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: The order of the differential equation of all circles of given radius a is: 3 2

A: Let's find.

Q: 9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

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

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Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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

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

Q: %3D siny(x + siny)dx + 2x²cosydy = 0

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Q: Find general solutions of the differential equation    (2xsinycosy)y'=4x^2+sin^2 y

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Q: 3x2y +y2 2x3+ 3ху dy

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Q: Find the differential equation of all circles with radius 1 and centers on the line y = x.

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Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

Q: Solve for differential equation of (y/x + 6x) + (ln x - 2)y′ = 0

A: Explanation of the answer is as follows

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: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

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

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Q: x + ( 1+x)y = e -× sin2x dx

A: The solution is given as

Q: Solve the differential equation Integrating Factor by Linear Equation: y' = 1 – 2ycot2x

A: We can solve this as follows:

Q: Solve the differential equation Integrating Factor by Linear Equation: y' + X. (4)» = * y = x+

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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: al csc x y cotx

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

Q: Determine the differential equation of the family of lines passing through the origin. (SOLVE BY…

A: Lines passing through origin can be taken as Y=mX

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: Find the differential equations of the families of curves. 1.) Straight lines with slope and…

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

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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 the solution as the equation representing all lines with slope…

A: Consider the family of straight lines with slope m and y-intercept c in slope-intercept form as,…

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: Find the differential equations having as solution; all tangent lines of parabola y2 = 4x .

A: Here, we have to find differential equation of all tangent planes of parabola

Q: Solve for Higher Differential Equation using Variation of Parameters et x" – 4x' + 3x 1+et

A: see below the answer  as per bertleby I have to solve first question only, please resubmit for other…

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: by

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Q: Use separation of variables to find the general solution of the differential equation. dr 0.03r ds

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Q: y' +y Inx = 0

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

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Q: 3. y"+ y= 2rsina

A: According to the bartleby policy , I can only answer one question.  So I answered  first question.

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' =…

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Q: (1+ cosx)y' = sinx(sinx + sinxcosx – y) |

A: 1+cosxy'=sinxsinx+sinx cosx-y On simplification, we get ⇒1+cosxy'=sin2x+sin2x…

Q: A car traveling at 100 km/h skids 50 m after its brakes are suddenly applied. Set up a differential…

A: The rate of change of velocity with time is known as acceleration, given by the expression a=dvdt.…

Q: Solve for Higher Differential Equation using Undetermined Coefficients Method y" – 3y' + 5y = 4x³ –…

A: The  given differential equation is y''-3y'+5y=4x3-2x To find the solution of the differential…

Q: iolve the given differential equation by undetermined coefficien y" + 4y = 2 sin(2x) (x) = ||

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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.