Solve differential equation \frac{dy}{dx}= \frac{x-y-1}{x+y+3}

djeljenike 2021-02-18 Answered
Solve differential equation dydx=xy1x+y+3
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Asma Vang
Answered 2021-02-19 Author has 93 answers

On substituting
dydx=yt
On rewriting in the form of an exact differential equation
x+y+1+(x+y+3)yt=0
To verify the following condition
M(x,y)y=N(x,y)x
Thus the above condition is true
3y+xy+y22x22+x+c1=c2
3y+xy+y22x22+x=c1
y=3x+2x2+4x+c1+9
y=x2x2+4x+c1+93

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-12-14 Author has 2064 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2022-01-20
Help!
a) Solve the first order linear differential equation dydx+xy=x, y0=6. b) Write down any two applications of first order linear differential equation.
asked 2022-02-18
a) Solve the differential equation:
(x+1)dydx3y=(x+1)4
given that y=16 and x=1, expressing the answer in the form of y=f(x).
b) Hence find the area enclosed by the graphs y=f(x), y=(1x)4 and the xaξs.
I have found the answer to part a) using the first order linear differential equation method and the answer to part a) is: y=(1+x)4. However how would you calculate the area between the two graphs (y=(1x)4 and y=(1+x)4) and the x-axis.
asked 2021-09-06
Find all the second partial derivatives
v=xyxy
asked 2020-12-28

Solve differential equation dy/dx=x/(yex+y2)

asked 2021-03-02

Transform the given initial value problem into an initial value problem for two first-order quations u"+0.25u+4u=2cos(3t), u(0)=1,u(0)=2

asked 2021-05-27
Write first-order differential equations that express the situation: A Walking Mode, l Construct a mathematical model to estimate how long it will take you to walk to the store for groceries. Suppose you have measured the distance as 11 mile and you estimate your walking speed as 33 miles per hour. If it takes you 2020 minutes to get to the store, what do you conclude about your model?
asked 2020-11-02
Solve differential equationy+2y=y2