Could you please solve the differential equation: u' = 3u + e2t with variation of parameters and then show how to solve the same equation with undetermined coefficients?

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

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: Find the General Solution of the Differential Equation given below using Exact Equation

A: To solve the given differential equation: yexy−1ydx+xexy+xy2dy=0,y1=1

Q: find the general solution of the pictorlal differential equation.

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Q: The differential equation y'= x – 2xy can be solved by two methods. These are:

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Q: 20. x" +4x = 3e2"

A: We have to solve the differential equation using the method of undeterminedcoefficients and no…

Q: y' = y²-y ху?-у

A: The given differential equation is  y'=xy2-yx     It can be re-written as…

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: y' = 4x(2y-y)

A:

Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

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Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

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Q: find the solution of differential equation 2 y' +

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

A: See answer below.

Q: y" tuy=3(sct

A:

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

A:

Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

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Q: 3x2y +y2 2x3+ 3ху dy

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Q: 14.) x = C,coswt + C2sinwt; w is a parameter, not to be eliminated

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Q: Find the general solution of the differential equation

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Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: Find the general solution of the differential equation.

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Q: y(4) + y" = 3x²

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Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

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Q: y"-7y'=(2x-1)sin 2x

A: Differential equation

Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters)

A:

Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Solve the first order differential equation by separating variables.

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Q: Solve the differential equations using method of undetermined coefficient у"*у 3 х^2sin(2x)

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Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: Solve for the differential equations and get the general solution. Simplify your answer free from…

A: The given differential equation is dy=tanxtanydx

Q: What is the differential equation of the given 1 parameter family of solutions?

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Q: EQUATION

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Q: How would you solve the differential equation y'=2t-y using separation of variables to find y(1)?

A: Consider the given differential equation, y'=2t-ydydt+y=2t The above equation cannot be solved by…

Q: 7. ON te 2.

A: We have to solve

Q: y" + 4y' = sec 2x

A:

Q: By first finding an integrating factor, solve this differential equation. Give your answer in the…

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Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: Solve for Higher Differential Equation using Variation of Parameters et x" – 4x' + 3x 1+et

A: see below the answer  as per bertleby I have to solve first question only, please resubmit for other…

Q: Solve the given differential equation by separation of variables. ds dr = KS

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Q: 21

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Q: Solve y" –3y' = 2e* +5sin 2x

A: We will find out the required solution for the given differential equation.

Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

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.