2. Solve the differential equation- + x, with y(1) = 1.

Q: 2. Solve the differential equation xy'=y+2x°.

A: Please refer the attached image for complete solution.

Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + yexy + (4xy + xexy +…

A: See this solution in below with details.

Q: Solve the differential equation y ' = x y 2

A:

Q: 4. What is the differential equation of the given functions? • y = Ce-* + Cze-2x + x y = Ce2* +…

A:

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: 4. Solve the differential equation by undetermined coefficients: y" +y' – 6y = 2.x. -

A:

Q: a. Classify and solve the first order differential equation y' = /2 +e'.

A: Answer  Linear differential equation is of the form         y'+Py=Q Where P,Q are function of t.

Q: 2 (y+ 1) da- ydy = 0

A: Explanation of the answer is as follows

Q: ...... 19. Find the general solution of the differential equation 2x2 =x² + y² dx

A: We have to solve given problem:

Q: Find the general solution for the differential equation: 8- y" – 2y' + y = 1+x?

A:

Q: 2. Solve the Bernoulli differential equation y' +y = y2

A:

Q: 4. Find the general solution to the differential equation y²y" = y/ (where y' = )

A: To find solution of the differential equation: y2y''=y'

Q: 2. Find the general solution of the differential equation y'+2xy 2xe-x2

A:

Q: 6. Find the general solution to the differential equation y" + 2y' + y = x-4e-" Simplify your answer…

A:

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

A: Here P and Q are two Arbitary constant ,so the heighest order of the differential equation is 2.

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: solve the differential equation: y' + (4/x)y = x^4

A: Given y'+4xy=x4 To find the general solution of the given differential equation.

Q: 2 1. (D2 — 1)у 3 ех — е-х

A:

Q: 5. Find the general solution to the differential equation et y" – 2y' + y 1+ x2 (where y' = )

A: Let us consider the differential equation y''+py'+q=g(x) To solve the equation  Determine the…

Q: What is the general solution of the given differential equation below? y' – 3y = 6

A: In the question we have to find general solution of the differential equation.   NOTE - As per…

Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

A:

Q: 4(3х + у — 2)dx — (3х + у)dy %3D 0 -

A:

Q: Solve for the Linear Differential Equation: y' + y = 1

A: The given differential equation is y'+y=1. Solve the given differential equation.             The…

Q: 1. Choose a solution to the differential equation y" - y = x²e² + 5.

A:

Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0…

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: 1. Obtain the differential equation associated with y=Ax2+Bx+C

A:

Q: Q1/ solve the differential equation - 24 - 2xy with initial condition y(1) = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 1. Solve the differential equation to find y: (1+ x)2+y= Vx

A:

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 the general or Special Solution to the differential equation 2 y = (x-y₁²

A:

Q: 5. Find a general solution of the differential equation: y" + 4y' = 2x – 1

A:

Q: 4.Solve the linear differential equation for general solution y′′ + 16y = 0,

A:

Q: y'+2y = e¯*

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: The solution of the differential equation y'+=y' is

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: The solution of the differential equation y+=y is

A: Given, y'+yx=y2

Q: 2. Find the general solution of the differential equation e-ty'- y = 2e-t+e".

A: Differential equations

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: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

A:

Q: 4. Solve the differential equation 2x(2x – 1) - (x + 1) + y = 0 using the method of Frobenius. dx2

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

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Q: 3. Solve the differential equation by obtaining y(x) dy + -y = xy dx 1

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Q: Solve the differential equation. xy' + y = 19Vx %3D

A: Given differential equation is xy' + y = 19x

Q: Solve the differential equation x²y"-y e 2*

A: The general solution of the second order, linear, non homogeneous ordinary differential equation…

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

A: Let's find.

Q: Solve the differential equation by an appropriate method. y''+2y'=x^2+4e^2x

A: Given linear differential equations with constant coefficients. We have find General solution for…

Q: 5. Obtain the solution to the differential equation 会-2-2-3-2=0 dx

A:

Q: A/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² + 2y)y…

A: Topic:- application of differential equations

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

A: