QueeeenUknown4744 QueeeenUknown4744
  • 01-02-2018
  • Mathematics
contestada

Find all solutions to the differential equation dy dt = 1 − y 2

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 02-02-2018
Try this:
[tex] \frac{dy}{dt}=1-y^2; \ =\ \textgreater \ \ \frac{dy}{y^2-1}=-dt; \ =\ \textgreater \ \ ln| \frac{y-1}{y+1}|=-2t+C.[/tex]
If it is possible, modify result to form more compact.
Answer Link

Otras preguntas

what is £42 increased by 10%
what evidence shows that sumerians where not prehistoric
the blueprint for landscaping a yard has a scale of 1/2" to1 foot. if the blueprint is a rectangle 18 inches by 22 inches,what are the dimensions of the yard?
There are 30 students in a class that took a test. The average grade of 10 students was 80. The other 20 students average was 89. What is the overall average fo
Solve the equation for y.4x – 5y = 9
A. Rice costs $1.33 per kilogram. How much will 1.3 kg of rice cost? B. Milk costs $.71 per liter. How many liters can you buy with $3.00 C. How are part (a) a
WRITE EACH RATE AS UNIT RATE. 162 WATER BOTTLE IN 9 CASES=
write the value of the dijit 5 in 657
A mountain climber camped at an elevation of 18,492 feet. the following day the climber descended 2,516 feet to another campsite. Type a numerical expression
find the proportionality of y=7.25x