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

Q: 5x y = C, + C2e4x 4

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

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Q: y = C, cos 3x - C sin(-3x)

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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: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

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Q: Determine the solution to the differential equation given by: y'=6y2/x

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Q: Find the differential equation that has y = C1 + C2x as its general solution.

A: To find the original differential equation we  have to eleminate the arbitrary constants by…

Q: Find the gene solution of the differential equation y+2xyy'-e-2yy'=0

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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: Find a differential equation whose general solution is y = c₁e³t+c₂e-2t 2 = 0

A: We need to determine a differential equation corresponding to the general solution: y=c1e5t+c2e-2t.

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

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Q: y = Ae* + Be-*

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Q: Find the general solution of the differential equation y′ = tan3 3x sec 3x

A: Given: y' = tan3(3x)sec(3x) =>dy/dx = tan3(3x)sec(3x) =>dy = tan3(3x)sec(3x) dx

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

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Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it

Q: Show that the differential equation UTM dy -2 - ye rey - 2y dr is exact and find its solution.

A: Use the concept of exact differential equations.

Q: Find the differential equation whose general solution is y = A + B e^(- 4x)

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Q: Find a differential equation whose general solution is 8t -6t y = cje + c2e = 0

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: Find the differential equation whose general solution is y = cvh x + cv2 e^x %3D

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Q: Find the solution to the differential equation y' = 2xy? which satisfies the initial condition y(2)…

A: Given query is to find the solution of the differential equation.

Q: form the differential equation corresponding to (y-b)2=4(x-a)

A: (y-b)2 = 4(x-a)

Q: Find the particular solution to the differential equation when y(0)=3 and (2)=1

A: Given differential equation isy''=y'2x-y'x2-1 The conditions are y(0)=3,  y'(2)=1

Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe²r

A: To find: The differential equation: Given: The equation is y=Ae2x+Bxe2x. Concept used: Product rule:…

Q: Verify that the function y = Ce5x is a solution of the differential equation           y′ = 5y

A: The given function is  y = Ce5x  The differential equation is y′ = 5y

Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: Solve the differential equation using only methods taught in class. y' + 3xe' = 0

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: y = Clx+ C2e

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Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: Find the general solution of the differential equation: y" – 2y - 3y= - 3te. Fi: of the…

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Q: Find a differential equation whose general solution is y = cje% + cze¯74. = 0

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Q: Find every nonzero solution of the differential equation y = y +2y°.

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Q: ylv – y" = 4x + 2xe-*

A: the

Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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

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Q: y = cje + c2er

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Q: Find a differential equation whose general solution is y = c₁e5t + c₂e-²t. = 0

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Q: 4. x" +x=e+!.

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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: Find the solution to the differential equation dz 3te3z dt %3D

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Q: b. y = C, + Cze3*

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Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.