Determine the differential equation whose general equation is 1. y = Ce-2x + C,e3x 2. y = Ce* + Cze¬* + 2x

Q: 4. What is the differential equation of the given functions? • y = Ce-* + Cze-2x + x y = Ce2* +…

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Q: According to the differential equation: T'=0.1T(1-T/1000)-0.05T What are the equilibrium values and…

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Q: 7. 2yy = e-: y(4) =-2

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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: y + 3xy' – 2(y')³ = 0

A: Product rule of differentiation: (fg)'=fg'+gf' Chain rule of differentiation:…

Q: dy y3 dx x3 + xy² II

A: Given: - The differential equation is, dydx=y3x3+xy2 To show: - The given differential equation is…

Q: Find the general solution of the differential equation.

A: given,

Q: 3. Find the differential equation associated to the equation: y = C₁x²e³* +C₁xe¹ +C₁e¹*

A: Note:- Since you asked multiple Questions ,As per our policy we can solve first question  for you…

Q: Consider the differential equation: 1 y" – y = What is the general solution?

A: We have to find the general solution of the given problem.

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

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Q: Obtain the differential equations satisfied by the given puiiicular 3. y = e5x - 3x - x2 4. y = e3x…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

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 to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: -y'-11ly 0

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

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

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Q: Solve the differential equation. (t + 1) +2s = 3 (t+1) + -, t> -1 (t+1)?

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

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Q: y' + 6y = 4e4x

A: Differential equation is an equation that relates one or more functions and their derivatives.  The…

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 y′ = 5x/y

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

Q: What is the differential equation of the solution y = Cje³* + C2e-5x + Cze* Differential equation:…

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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: y' + 5xey = 0

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Q: solve the for the general solution of the differential equation( linear homologous equation): y'' −…

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

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Q: Find the particular solution to the differential equation y - y - 2y =- 2e when y(0) = – and y (0) =…

A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y = 6+e* Show all your…

A: Use the procedure of method of variation of parameters to solve this problem.

Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0…

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

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Q: 2) x – 1 = - 2e-y

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Q: 6. er + (xe" – 1)y =0: y(5) =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: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

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Q: Find a differential equation whose general solution is 7t y = c₁e¹t + c₂e-2t. y" - 5 y' - 14 y = 0 ✓

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

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Q: Give the detailed solution of this differential equation using 1st order and 2nd order 1. (y') ² +…

A: This is a problem of differential equation.

Q: Solve the differential equation y Pemer 6a y5 subject to the condition that y 3 when = 3.

A: Here we have to solve the given differential equation

Q: 8. y+는y-3x,y(3) =4

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

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

A: The given differential equation is

Q: b. y = C, + Cze3*

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Q: Is y = 2x² a solution to the differential equation 1/2 (x^2)y'' - xy' + y =0?

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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.