Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

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: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe2x 2x + Bxe2x

A: The given equation is: y=Ae2x+Bxe2x Formulate a differential equation that is satisfied by the given…

Q: y=X+ Ci ex t %3D

A: Explanation of the answer is as follows

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

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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

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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: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

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

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

Q: Eliminate the arbitrary constants: y= x+ Ce2x + C2e¬x 1.

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Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: • / = Ity

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

Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: Find the complete solution of the differential equation, y' = 2 - cot.

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Q: Find the general solution of the differential equation

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Q: y = Ae* + Be-*

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

A: Given equation is              y=Cekt

Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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

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Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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Q: Find a differential equation whose general solution is y = cie®t + cze¬,

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

Q: Solve the differential equation 2xyy' = 1 + y". If y = 3 when x = 2, determine y when x = 1.

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Q: By using suitable method, form an ordinary differential equation by eliminating constant A from the…

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Q: differential equation by using an appropriate substitution.

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

A:

Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

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: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

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

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Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: Find the general solution of the differential equation with clear steps.

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Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

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Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

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

A: We have to find

Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: solve the given differential equation using proper replacement.

A: Here we have to solve the given differential equation using proper replacement.

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

A: