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

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

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Q: 1. y = c1e-2x + cze²x + cze2x 2. y = c1e* + cze3x

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Q: Find the particular solution for the differential equation y' = 4xe2x and y(0)=20.

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Q: Find a differential equation whose general solution is y = C₁e6t + c₂e-4t y" - 2 y' - 24 = 0 X

A: The solution of the DE is: y=c1e6t+c2e-4t where the solutions to the auxiliary equation are 6 &…

Q: Find the general solution to the differential equation: y' = 8x + e²r

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Q: Find the general solution of the differential equation 12yy′ − 7ex = 0

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

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

Q: Find the general solution of the differential equation: logS=x+y

A: We have given a differential equation ,  logS = x + y We know that , elog(a) = a . So , elog(S) = ex…

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 particular solution for the differential equation y' 4xe2x and y(0) =20.

A: Given that a differential equation and we find its particular solution . and also given that a…

Q: The equation x² + e¤y = c defines an implicit solution of the differential equation

A: We have to differentiate the given equation with respect to x first.

Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

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Q: evaluate the differential equation y- 2y +1 =0 if y(0)= 3

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

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Q: Find the general solution of the differential equation xy + y′ = 100x

A: Given: y'+xy=100x

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

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Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

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

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

Q: Find a differential equation whose general solution is y = c₁est + c₂e-2¹. 5t = 0

A: I have given the answer in the next step. Hope you understand that

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

A: Find the differential equation of given solution.

Q: Find the differential equation having the solution as: a. y = C,e¬x + C2e¬2x + x b. y = C, + C2e³x

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Q: Find the general solution of the differential equation 2xyy' = 2y² – x²

A: given 2xy y' = 2y' -x'y' = 2y2-x22xy---(1)put y =vxy' = v + xv'---(2)so from (!) we have y' =…

Q: Find the order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

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

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Q: Solve the differential equation 3y' = x + y by making the change of variable u = x + y.

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Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 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: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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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: The differential equation (xy+ x) dx = (x<y² – x²+y- 1) can be rewritten as

A: Consider the differential equation  xy+xdx=x2y2−x2+y2−1dy

Q: Find the general solution of the differential equation. y′ + √x y = 9√x

A: To find the general solution of the differential equation y'+xy=9x

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

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Q: Find the general explicit solution to the differential equation y′ − 3x2y = x2

A: The given differential equation is y'-3x2y =x2. We solve the differential equation by separation of…

Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

Q: Obtain the differential equation whose general solution is y = C1 + C2 e^.

A: The given general solution is                y= c1+c2e3x We want to find the corresponding…

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

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Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: Find the general solution of the differential equation. 11x y' = y

A: We have to find the general solution of the given differential equation.  For this we will…

Q: The differential equation: y²x + y² = x²yy' is solved by

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Q: Solve the differential equation on  Y=xp+p-p3

A: We have to find

Q: Find the general solution of the differential equation . (2 + x)y′ = 3y

A: Consider the differential equation: 2+xy'=3y

Q: Use inspection to find four solutions to the differential equation: (y')^2+y^2=1

A: The given differential equation is

Q: Find the general solution of the differential equation (1 + x)y = 3x.

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Q: Write down the solution of the differential equation: x² y" -4 y' + 4y = In x

A: Consider the expression lnx as t. Differentiate the equation t=lnx and simplify to obtain the…

Q: с. у -у%3х y = x

A: We have to find general solution of given differential equation.

Q: Hi, can I get help with this problem? Thank you! 3.4

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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.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.