y = Ax² + Be*

Q: 1. у" — 4у 3 2+ 3х — х2

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Q: Find the Differential equation by eliminating the arbitrary constant  x2-y2=a2

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

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Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: what is the Non-exact differential equation?

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Q: Find the general solution of the differential equation or state that the differential equation is…

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

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

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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: find the solution of differential equation 2 y' +

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Q: 4. Obtain the Differential Equation from the family of curves of the form

A: We need to find the Differential Equation for the family of curves y=Cx for which we need to…

Q: az = 0 ду 4(z, 0) = 4 · e-z

A: To solve a differential equation using  variable separable or dividing the variable   Assume the…

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

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

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

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

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: y = Ae* + Be-*

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Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

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Q: What is the appropriate method to find the general solution of this differential equation?

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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: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: Show that y - In(x +1) is the solution of the differential equation of (1+ x*)y= 4x':

A: Use the formula below to perform the differentiation .

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: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

Q: A differential equation is considered to be ordinary if it has more than one independent variable.…

A: Given the statement

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.

A: Equation of straight line: y=mx+c Where, m = slope  c = y-intercept

Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

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

A: By using variable Sepraible

Q: What is SM of the differential equation (2a + 3) y' = (y + 2x +3) O}y + 2x +3) O1 + (2a + 3)-

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

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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 equation by eliminating the arbitrary constant  x2-y2= 0

A: To find the differential equation x²-y²=0

Q: 3. Show that the differential equation zxy

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Q: Find the solution of the differential equation that satisfies the given initial condition.

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

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Q: What form of the particular solution is appropriate for the differential equationy'' - y'=4+4e*.

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

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Q: y = ry' – In (y')

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Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: 21

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Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

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

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