Find the general solution af the equation, y' = x(1- y).

Q: y" + 9y' + 7y = e-2t ,t > 0[

A: Using method of Laplace Transform.

Q: Solve the differential equation by variation of parameters. y" + y = sin?(x)

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Q: Solve the differential equation by variation of parameters. -t y" + 2y' + y = et In(t) y(t) =

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Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = y" - 4y =

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Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = = y" - 4y =

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Q: Find the general solution of the differential equation. y′ = arctan x/ 2

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Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t) y(t) =

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Q: Solve the Differential Equation using VARIATION OF PARAMETERS: y''+y'-3y=4sin2x

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: Solve the differential equation by variation of parameteres: y'' + y = sec(x) + tan(x)

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Q: Solve exact equation 2x -)dx + (2x cos(2xy) + 8e²")dy = 0 x² + 1 (2y cos(2ry) + with initial…

A: We will solve the problem.

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

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

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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Q: Find the solution y(t) by recognizing the differential equation

A: Given differential equation - y' = 6300-yWe can write it as - dydt = 6300-ydy300-y = 6dtIntegrating…

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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

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Q: Solve the differential equation by variation of parameters. 4y" – y = ex/2 + 4 y(x) =

A: We have to solve the differential equation

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Solve using linear differential equation (y+1)dx+(4x-y)dy=0, when x=4 and y=4

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

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Q: Find the integrating factor for the differential equation and solve it, (x³ – y) + xy' = 0. Can you…

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Q: Solve the given third-order differential equation by variation of parameters. y"+ 64y' = sec(8x) |3|…

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Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = 8 1

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Q: Solve the differential equation using Variation of Parameters (D² – 2D + 1)y

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Q: Solve the given third-order differential equation by variation of parameters. y"' + 16y' sec(4x) =…

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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: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

A: Given differential equation: y''+3y'+2y=cosex               ...(1) Write the homogenous equation…

Q: Find the particular solution of the differential equation when x = 2, y = r. %3D y y' = sec y

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Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) = %3!

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Q: Find the differential equation having each equation as general solution. 7.) y= x + C,x + C,e 11.)…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Solve the differential equation by variation of parameters. 4y"-y = ex/2 + 6 y(x) =

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Q: Solve the differential equation by variation of parameters. y" + 2y + y = e-tIn(t) y(t)

A: Given the differential equation is y''+2y'+y = e-t lnt

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t)

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Q: Solve the differential equation by variation of parameters. 4y'' − y = ex/2 + 7

A: Result used:

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

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Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = = 1 2 + ex

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Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: Solve the differential equation  by undetermined coefficients. y"+y = 2x sin x

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) =

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

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Q: What is the general solution to the differential equation ydx - ( x - sqrt(x² + y² )dy = 0?

A: Let's find.

Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

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Q: Q3: if y'-f(y/x) where v-y/x Find a solution to the differential equation 2xyy'-y2+x2 =0 ?

A: Given

Q: Use a substitution to solve the nonlinear differential equation: (y + 1)y" = (y ')²

A: Let y' = t Then , y''=dtdy  to find the value of y, integrate y' =t⇒∫dy =∫t. dt⇒      y =t22  So the…

Q: b. y = C, + Cze3*

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Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t) =

A: Given : The given differential equation is y''+2y'+y=e-tln(t). To find: The solution y(t) for the…