Can you help me solve this equation using undetermined coefficients? y'''-y''-9y'+9y=4-e^x+e^3x

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

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Q: Draw a slope field for the differential equation / = 0.2x² + y

A: We have to draw the slope field for the following differential equation, y'=0.2x2+y

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

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Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

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Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: y" +9y' = 9 tan 3x

A: The solution is given by using method of variation of parameters as follows

Q: solve the differential equation

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Q: Which curve solves the differential equation and passes through the point (0,1)?

A: Using variable separable for solve differential equation.  Let -x2=t then taking integration on both…

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

A: See answer below.

Q: Use the procedures developed in this chapter to find the general solution of the differential…

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Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: Solve dx- dy

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

Q: The system changed so that the right-hand side of the differential equation is 0. Use the…

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Q: y(4) + 3y"" — 10y" = 0

A: Given differential equation y(4)+3y'''-10y''=0 To find the general solution, lets find auxiliary…

Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family…

Q: 3x + y + z = 0; z(0) = −1

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Q: 2. y" + 25y = 5 tan² (5x) cos(5x)

A: The given problem is to solve the given differential equation, we have to solve it by using…

Q: y" + 4xy' +(4x² + 2)y=8e¯x(x+²); _y₁ = è¯ e

A: This is a problem of differential equation.

Q: Assume that the rate of evaporation for water is proportional to the initial amount of water in a…

A: Here, given that rate of change of evaporation is proportional to the initial amount of water.…

Q: 3 y 1-x y'- 1- X y= e-e

A: Here the given differential equation is y''+1-xxy'-1x2y=ex-e-x This is a linear second order…

Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: 25.y' — х — 4ху ; х—D0, у3D 1/2

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Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

Q: What are the order and degree of the differential equation representing the family of parabolas y2 =…

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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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: In a city of a fixed population of " people , the rate of change (with respect to time t) of the…

A: Given Data: A city has a fixed population is P. Also given, the rate of change (with respect to time…

Q: у" + 16у — 0; Уi — сos 4x

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Q: Please Find the general solution to the differential equation x'''+x''+x'+x=0

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Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: equation

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Q: y' - 2x = -e-t; y(0) = 2

A: y' - 2y = - e-t, y(0) = 2 Thia is a linear differential equation of first order  Integrating factor…

Q: Find the differential equation of a family of parabolas with axis parallel to the x-axis.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

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Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

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Q: y' +y Inx = 0

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

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Q: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

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Q: When is an equation considered as a solution of  differential equation?

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Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. 1. Parabolas with vertex and…

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Q: A body at a temperature of 50° F is placed outdoors where the temperature is 100° F. If after 5…

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Q: Solve for Higher Differential Equation using Undetermined Coefficients Method y" – 3y' + 5y = 4x³ –…

A: The  given differential equation is y''-3y'+5y=4x3-2x To find the solution of the differential…

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.