3. y"+ y= 2rsina

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

A:

Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

A:

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

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

Q: Find the general solution of the first-order linear differential equation. (Use x as your…

A: We can find the correct answer as below

Q: Determine the particular solution that satisfies the differential equation and initial condition…

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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: 3. y'-5y = x*e* - xe* – xe³x

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

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: y' = y²-y ху?-у

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

Q: What is correct form of the particular solution associated with the differential equationy"=8?

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Q: ex 2. y" – 4y' + 3y = - 1+ ex

A:

Q: Write down a first order differential equation for the current in an LR-circuit to which a voltage…

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

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Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

A:

Q: Explain the steps to determine the a single particular solution of anonhomogene linear differential…

A: Consider a second order non-homogeneous linear differential equation with constant coefficients,…

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

A:

Q: • / = Ity

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

Q: What is correct form of the particular solution associated with the differential equationy'''=8?

A:

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

A:

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

A:

Q: Determine the solution for the differential equation ry = In(x) for which Y(1)

A: y^2 = (ln x)^2  + 2 ln C

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

A: We can solve this as follows:

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A:

Q: Use separation of variables to find the general solution of the differential equation. (6 + x)y' =…

A: Please refer the attached image for complete solution.

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: Determine the solution for the differential equation ry = In(x) %3D

A: By using variable Sepraible

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: al csc x y cotx

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

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

A:

Q: y"+y = cosecx cotx %3D

A:

Q: 2ydx + x (x² In y – 1) dy = 0

A:

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

A:

Q: By using suitable method, form an from the equation y=e'(Asin 2t). ordinary differential equation by…

A: We have to solve given problem:

Q: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

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: 1 y" + 3 y' + 2 y 1+ et

A: Given differential equation is as below:

Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

A:

Q: From the differential equation by eliminating the arbitary constant A and B from the equation y = e*…

A: The objective is to form the differential equation by eliminating the arbitrary constant A and B…

Q: الموافق Find the general integra) of the differential equations with dottedf v ariables : ト 3) (++y)…

A:

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

A:

Q: The homogeneous linear differential equation whose auxillary equation has roots 1, 1 and – 2 is

A: The homogeneous linear differential equation whose auxiliary equation has roots 1,1 and -2 is

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

A:

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

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

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

A:

Q: 2. y' + p(x)y = q(x)

A: