Solve this completely to answer several questions. dy 4y Consider the equation + = x. dx What is the general solution of the equation?

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

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: Find dx y= % dx

A:

Q: SIder ne DE dy dy 6y = 12x, y(0) = 1 dx dx? Ae2 1 is a solution of the DE and determine Verify that…

A:

Q: Identify the type of the equation dy dx and solve it.

A: Solution

Q: 4. (x² + l)dx + x² y?dy = 0

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 3. Show the equation (1+ e*y + xye*)dx + (xe* + 2)dy = 0 is exact and solve it.

A:

Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

A:

Q: Q2: solve the equation 3 dx 2х * dy y

A:

Q: H.W. // Solve dy - 3y = x? dx

A: Given  dydx-3y =x2Given equation is of the form dydx+py = Qx   I.F = e∫pdx∴solution of differential…

Q: Solve the following using exact equation or linear whichever is applicable. 1. (х + у) dx + (х — у)…

A: 1. An equation of the form Mdx+Ndy=0 is exact if My=Nx. Here My is the partial derivative of M with…

Q: Show your complete and simplified solution. [1] (3xy + 2y?)dx + (x² + 2xy)dy = 0

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

Q: Solve the following equation using Bernoulli D.E. b. Alternative method dy + 2 = y? dx 4.

A:

Q: Test the equation for exactness and solve the equation (2xy − 3x^2)dx + (x^2 + 2y)dy

A:

Q: Q2. Find the general solution of the equation. dy 2(1+y?) dx Find the particular solution that…

A:

Q: dy Find the general solution of 2x² = a? + y? dx %3D

A:

Q: d?y dy - 3- dx Determine the solution of x dx2

A:

Q: Solve this completely to answer several questions. dy + dx Consider the equation 4y What is the…

A:

Q: Use appropriate substitution to reduce the following equation to a variable separable and then Зх +…

A:

Q: lve the following equations: a) y√(1-x²)dy + x√(1- y²)dx=0 (In 6 12

A:

Q: Qz Solve the ordinary differental equation ye dy dx with y(U=2

A: To find the solution of a given ordinary differential equation first we will separate the variables.…

Q: dx -dy = 0 4. Solve

A:

Q: Q5) show that the following equation is exact and solve it . ylnx²dy +dx xӀпу?dx +— dy 1 %3D x2 y

A: given equation ylnx2dy+y2xdxxlny2dx+x2ydy=1 show that the following equation is exact and solve it

Q: dy d²y — 4х — + бу 3D 4х — 3 dx² dx

A:

Q: dy Solve the equation by Separating the Variables: xy+ 1) + (x - 1): dx Scanned with CamScanner

A:

Q: Solve the following using exact equation or linear whichever is applicable. (x− 2y)dx + (y − x) dy=…

A: Given: (x− 2y)dx + (y − x) dy= 0

Q: Test the equation for exactness and solve the equation: (1+ y?)dx + (x²y + y)dy = 0

A:

Q: Test the exactness of the following equation then solve the equation: y In(y) dx + (x – Iny)dy = 0 -

A:

Q: Solve the following DE using TWO different methods (do not solve using the substitution y = ux. Use…

A:

Q: Solve the given IVP. x²° = y² + xy y(1) = 1 %3D dx Hint: Use substitution to change the equation to…

A:

Q: Solve this completely to answer several questions. dy 4y Consider the equation- dx = X. What is the…

A:

Q: 1 (x + y )dx = xy²dy

A:

Q: Q5) show that the following equation is exact and solve it. ylnx?dy +dx - = 1 xlny?dx +dy

A:

Q: = cos?y is dx The general solution of the DE

A:

Q: xy dx + e* dy = 0 er?

A:

Q: or which value of a the equation dz dy dx -1 oes hold? D a. 2 O b.1

A: We are asked to find the value of a.

Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: dy %3D dx = (9x + 4y + 1)?

A: The given equation is, dydx=9x+4y+12                     .........1 Let 9x+4y+1=v…

Q: Q1: solve the equations below: 1) S dx Jellt vast (1+

A: Given, ∫1x(1+x)2dx

Q: (х5 + Зу) dx — х dуy %3D 0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Prove that the equation below is a homogenous one and solve for its equation. 3(3x2 + y?) dx – 2xy…

A:

Q: QI: Solve the following DE: e*dx-ydy 0y(0) = 1

A:

Q: Hello there, can I please get these questions answered? Thank you!

A: Given- dydx=xy+4x+2y+8 To find- The solution of above differential equation.

Q: dy y sin x y(0) = 1. dx 1+ 8y4'

A:

Q: dy 2ху+ бх + (х? — 4) dx Solve

A:

Q: C. Solve the following Bemoulli's equation. 4. y(6y? – x – 1)dx + 2x dy = 0

A:

Q: Given (x² + 2y)dx + (+ 2xy+ 2x) dy = 0. 3 i) Check the exactness of the equation. ii) Based on your…

A:

Q: Solve the following using the method of solving Bernoulli Equations. dy 1. dx +? = x²y?

A: Given:         dydx+yx=x2y2 This is of the form dydx+P(x)y=Q(x)yn…