Find the solution of the given differential equation.

Q: Find the general solution of the differential equation √(x3 − 5)  y′ = x2

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Q: Find the general solution of each differential equation, and when initial conditions are given, the…

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Q: Determine the type of Differential Equation, then find the solution for it.

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Q: Find the solution to the differential equation dz 3te7 dt

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Q: Which of the options is the differential equation that accepts the solution of the following…

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Q: Find the solution of the given differential equation

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Q: Find the general solution to the differential equation: y' = 9° %3D

A: The given differential equation is: y'=9x   We know that; ∫axdx=axlna+C

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: Find the general solution of each differential equation, and when initial conditions are given, the…

A: 11. y'-2y=y2, y(0)=3Put…

Q: ( 30+2p) dO+(20 - 4p) dp = 0

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Q: Solve the differential equation; yy`+ 25x = 0

A: Variable separable differential equation

Q: xyy' = x² + 1

A: We have to solve the given differential equation  xyy'=x2+1

Q: Find general solution to the differential equation A-2xy'= 3y

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Q: Find the general solutions of the given differential equations.

A: In this question, we solve the system of differential equations by the method of elimination.

Q: Solve the differential equation 3yy' 7x.

A: Given differential equation is 3yy'=7x

Q: - 1 - 1 dx ?

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Q: 2 1. (D2 — 1)у 3 ех — е-х

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Q: -y'-11ly 0

A: Given differential equation is y''-y'-11y=0

Q: Solve the given differential equation. y' + y = y?

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Q: Solve the differential equation xyy = y – 1

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

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Q: determine whether the given differential equation is exact. If it is exact, solve it.

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as…

Q: Find the differential equation whose general solution is y = c1 x + c2 e

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Q: Find a particular solution to the differential equation y" + Oz/ – 16y = -768t°.

A: Given: y'' + 0y' - 16y = -768t3

Q: Find the general solution of the differential equation y′ = 5x/y

A: Given the differential equation: y'=5xyRewrite asdydx=5xy

Q: Solve for the general solution of the differential equation : ( D + 100 ) y = 0

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Q: Find the general solution for the differential equation. y' = 2 - x³ + x6

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

Q: The solution of the ordinary differential equation y" – y" = 0 is:

A: The given ordinary differential equation is:y'''-y''=0The auxiliary equation is:D3-D2=0

Q: У - 2у+ %3D 1+ x

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Q: b) Find the general solution to the differential equation

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Q: Find the general solution of the differential equation. y' = 21x y

A: The differential equation is given by y' = 21xy To evaluate : The general solution of the…

Q: (D³ – 3D² – 3D + 1)y = 0

A: To find out the solution of the differential equation.

Q: Solve for the general solution of the given differential equation ху + у? and express your final…

A: The given differential equation,y'=xy+y2x2

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

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Q: 2ry'

A: 1st equation is not a differential equation. 2nd equation is reducible to linear differential…

Q: y dx + (3x -

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Q: Find the solution to the differential equation y'-2ty = 4t

A: Solve the above differential equations.

Q: Solve the differential equation: *=- 6x? + 2 with initial conditions (1, 10 ).

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Q: Solve the differential equation dy dz (y²z+g²)

A: Given- dy/dx = 1/(y2x+y2) find- Differential equation. note- In solution c is just a constant.

Q: (D³ + 3D² – 4)y = 0 |

A: (D3+3D2-4)y=0

Q: What must the function k be for a differential equation to be a complete differential equation? Find…

A: Given the DE is 3x2+xyk-x2yk-1y'=0. Find k such that the given DE is Complete DE. Then find the…

Q: Solve the differential equation: yy'=t2

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Q: Find an explicit solution to the differential equation y-y+3 =0.

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Q: Determine whether the given differential equation is exact. If it is exact, solve it.

A: Note: Our guidelines we are supposed to answer only one question. Kindly repost other question as…

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

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Q: Find the general solution of the given second-order differential equation. у" + бу' + 9у %3D0 y(x) =

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Q: solve the given differential equation using proper replacement.

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

Q: (Dª – 16D²)y = 0

A: Differential equation: - The generic solution is one that comprises as many arbitrary constants as…

Q: Solve the differential equation: dy + 2xy = y da

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