1. Find real-valued fundamental solutions of the differential equation 1 x' = Ax, A= 2 %3D 4 -3

Q: 1. The solution of the differential equation (x + 1) +o +1) = 0 is C. y = x(x - 1) D. y = A y=2+x B.…

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Q: 3. y" - 2y" - у' + 2у %3D е4x + х2 +1

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Q: 1. Find the general solution of each of the differential equation y" – 2y' +y = 0.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: - In order to solve a Bernoulli Differential equation, we will first use variable substitution to…

A: Given that the statement is " in order to solve a Bernoulli Differential equation, we will first use…

Q: 5. Find the solution of the differential equation y =- xy + xy³ (Bernoulli)

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Q: Find the general solution of the given higher-order differential equation. y(4) - 2y" + y = 0 y(x) =

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Q: Find the general solution of the given second-order differential equation. 6y" + y = 0

A: To find the general solution of  6y''+y=0

Q: Find the general solution of the given second-order differential equation. 3y" + y' = 0 y(x) =

A: Given second order differential equation is 3y"+y'=0.

Q: Find the general solution of the given higher-order differential equation. y"" - 2y" - 3y' = 0 y(x)…

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Q: 1 3. y' -- %3D xy+x²y3

A: See the details solution in below

Q: Find the general solution of the given second-order differential equation. 6y"+y' = 0

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Q: 3. Find the complete solution of the differential equation (4x + xy2) – (y – x?y)y' = 0 using…

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Q: (4) Find the general solution of the differential equation (D² + 2D+5)y= sin hæ

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Q: Find the general solution of the given second-order differential equation. Зу" + 2y' + у %3D 0 y(x)…

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Q: 18.Find the general solution of the differential equation %3D xp xy-y2

A: To solve the given differential equation, first we convert it into separable form, and then we find…

Q: Find the general solution of the given higher-order differential equation. y (4) - 2y" + y = 0 y(x)…

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Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

A: Firstly separate the variables and integrate on both sides and solve the differential equation.…

Q: 3( 1+x2 )y' = 2xy( y3-1) Find the general solution by determining the type of differential equation.

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Q: 5.- Use the method of undetermined coefficients to find the general solution of the differential…

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Q: 1) Solve the Bernoulli differential equation with the given initial condition. x-2xv = 3y“, >0 =

A: Given: x2dydx-2xy=3y4  The initial condition is:  y1=12 Dividing the give equation by x2 , we have:…

Q: Find the general solution of the given higher-order differential equation. y(4) + y''' + y'' = 0…

A: The given differentail equation is  y(4) + y′″ + y″ = 0.

Q: 2 -1 et x + x' %3D 3 -2

A: The given differential equation can be written as:x'=2−13−2x+ett    and…

Q: y' + (1+ 2x2) .e²²+y = 0

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Q: 1. Find the general implicit solution to the differential equation xy +1+(ln(x)−2y)y′ =0

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Q: 5. Find the solution of the differential equation 2dy + ydx = y'(x-1)dx (Bernoulli)

A: given that

Q: Find the general solution of the given second-order differential equation. 9y"+y' = 0 y(x) =

A: General solution of real roots is used.

Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

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Q: y' - Зу %3D =x*y/3

A: Given differential equation y' - 3yx = x4y13

Q: 1. y'- = xy2

A: Solution is given below:

Q: Find general solutions of the differential equation  (x+e^y)y'=xe^(-y)-1

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Q: 1) Find the general solution of the differential equation. y^(4)-y=4t+cos(t)

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Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) = =

A: To find out the general solution of the given differential equation.

Q: Specifically a differential equations problem. Question in pic below.

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Q: dy 2y2 + x²e=(÷)² dx 2xy

A: dydx=2y2+x2e-yx22xy----(i)Let y = xudydx=xdydx+uPut the value of y and dydx in equation (i) we get…

Q: I. Find the general solution of the given differential equation. 1. y' + 2xy = x3

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 2-Find the general solution of the Differential Equation (2² + 4) y' = 2xy.

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Q: Find the general solution of the given second-order differential equation. 3y" + y = 0 y(x) = ||

A: We have to find the general solution of given second order differential equation

Q: Find the general solution of the given second-order differential equation. у" + бу' + 9у %3D0 y(x) =

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Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: 5 Find the general solution to the differential equation y - where x > 0. y = +C

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Q: 2. A solution for the differential equation is y = Pe-3x/2+ Qe¬x!2.

A: Let's find.

Q: Find the general solution of the given second-order differential equation. y" - y' 20y = 0 y(x) =

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Q: 2. Determine the solution x(t) of the differential equation * + 2x + x = 0, x(0) = 1, *(0) = 1

A: Given differential equation is: x''+2x'+x=0 And the initial conditions are x(0)=1 and x'(0)=1 The…

Q: 2. Solve the differential equation (3x² – a³ + 3y – 3ry – y*)dx + 3(x + y²)dy = 0, by determining an…

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Q: Find the general solution of the given higher-order differential equation. y" - 2y" - 3y' = 0 y(x) =

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Q: 1. Find the general solution of the given differential equations: y/ - y = x +1

A: We have to solve the given differential equations.

Q: Consider the differential equation: 1 y"- 3y' + 2y = 1+e* What is the general solution?

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Q: Find the general solution of the given second-order differential equation. бу" + у' %3D 0 y(x) =

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.