/ solve the differential equation by the Laplace: (One only) 1- y" - 3y' + 2y = 4e2t y(0) = -3 , y'(0) = 3

Q: Find the Differential equation by eliminating the arbitrary constant y= A + bex

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Q: x + 4y3) dy- ydx = 0

A: We have to find the solution of the given non exact differential equation.

Q: What form of the particular solution is appropriate for the differential equationy" - y'=4?

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Q: Find the differential equation by eliminating the arbitrary constant y= A + bex

A: Solution:-

Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

Q: From the differential equation by elimanating he arbitary function f from xyz=f(x2+y2+z2)

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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: From the differential equation by eliminationg the arbitary constant A,B from y=Ae7x+Be-7x

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Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

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Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

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Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: Form the differential equation whose primitive is given by y= ex(a cos⁡x + b sin⁡x),  a, b, being…

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Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: The solution of the given differential equation for y(1.5) is h=0.1 interval value. Calculate by…

A: Euler's method uses the formula, yn+1=yn+hf(xn,yn) to perform the iterations.

Q: From the differential equation by elimaniting arbitary constant y =ax'+ bx²

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Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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Q: obtain the differential equation of the family of straight lines passing through ( 0,1)

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Q: Use separation of variables to find the general solution of the differential equation. 6 cos(tx) xp

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Q: (3 şiny-5x) dx + 2x²cotydy = 0 hint: let 2 =sinu

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Q: 1. (2x + y – 1)dy + (4x + 2y – 3)dx = 0; when x = 1, y = 2

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Q: Find the general solution for the second-order differential equation ¨y + 8 ˙y − 9y = −3 with…

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Q: From the differential equation by eliminationg the arbitary constant A,B from y=Ae/x+Be¬-7x +Be-7x

A: To form the differential equation by eliminating the arbitrary constant

Q: quation for y (x) with real coefficients if two solutions are cos2x and e3x

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Q: 4. y" +2y'+ = cos a COS

A: We will solve the problem

Q: -ka dt2 Sdlve the differential equation and express the X func tion of trieonometrie func tion as

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Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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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: What is the order of the lowest order homogeneous differential equation which has a particular…

A: Given particular solution y=x2+exsinx2 We have to find the order of the lowest order homogeneous…

Q: 4. y" + 4y = sin² 2x when y () = 0; y' ( = %3D

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Q: Find the solution of a given non-homogeneous differential equation using the variation of…

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Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False

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Q: determine the general solution to thegiven differential equation. Derive your trial solution…

A: Given: y''+4y'+4y=5xe-2x

Q: use the method of variation of parameters to find a particular solution of the given differential…

A: To solve the following differential equation using the method of variation of parameters to find the…

Q: The Integrating Factor of the differential equation dy dr y = 14x? is x-14 25 e5z

A: The given differential equation is,  dydx-5xy=14x2To find its integrating factor.

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

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Q: 2. Form the differential equation having y=(sin-x)²+ A(cos-lx)+B. where A and B are arbitrary…

A: Introduction :

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: a. Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: Write general equation first of given conditions.

Q: Form a differential equation by eliminating the arbitrary constants A and B from the equation y =…

A: to find differential  equation we first form two Equation by differentiating y two times using…

Q: 3. y"+ y= 2rsina

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

Q: (x-C,)' +y° = C;?

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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: 4. Obtain the Differential Equation from the family of curves of the form y = xC

A: To form a differential equation from given family of curves. Differentiate given family of curves…

Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

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Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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