(y – c,)² + (x – c2)² = 1 %3D -

Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: 5x y = C, + C2e4x 4

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Q: What function satisfies the differential equation y - y' = 0?

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Q: Use separation of variables to find the general solution of the differential equation. x2 + 6yOy = 0…

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

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

A:

Q: Find the particular solution of each differential equation that satisfies the initial condition.…

A: The given differential equation is: y'-8x3y=e2x4;       y(0)=2

Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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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: is general solution of y = ae? x + be³x .8 differential equation اخترأحد الخیارات

A: Given: y=ae2x+be3x

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (D³ +…

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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: y' + 3y = 8

A: Given differential equation is  y'+3y = 8

Q: -y'-11ly 0

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

Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

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Q: 2. (x +1)y'+y = x² – 1 %3D -

A: Topic = Differential equation

Q: Solve the differential equation 2xyy' = 1 + y". If y = 3 when x = 2, determine y when x = 1.

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Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (2D4 +…

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

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Q: 4.y = C₁e-2x + C₂e³x

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

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Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 0

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Q: y' = (4x + y)²

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Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

A: We have to find homogeneous differential equation first.

Q: What is the solution of the differential equation of (2x° + ry? + 2y +3) dr + (x²y + 2x) dy = 0 ?

A: We have given differential equation,   Differential equation is of the form,     Mdx +Ndy=0 Firstly…

Q: y = Clx+ C2e

A:

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

A: y'' +3y' +2y=12+exA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

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: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

A: Given: yt=c1et+c2e2t-3tet+cost-e-t2          ...... (1) Solution: Differentiate equation (1) with…

Q: verify that given situation is solution of the differential equation. y' + 4xy = 0, y = 25e−2x2

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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: Find the particular solution of the differential equation using the method of undetermined…

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Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (D² –…

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

A: Result used:

Q: By the alimination of the arbitary constants a and b ,obtain the differential equation of which…

A: Given solution is xy=aex+be-x+x2 find DE by eliminating arbitrary constants

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

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Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

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: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 +…

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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: What is the particular solution of the differential equation y" + 2y" – 5y' – 6y = 5e?? Particular…

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Q: = Form the differential equation by eliminating arbitrary constants : y = ax +0x , .3

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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.