chichiv chichiv
  • 24-10-2020
  • Mathematics
contestada

Solve the initial-value problem y' = (8 sin(x))/sin(y), y(0) = pi/2

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 26-10-2020

Answer:

8cosx-cosy=8.

Step-by-step explanation:

dy/dx=8sinx/siny;

sinydy=8sinxdx;

-cosy= -8cosx+C;

according to the condition y(0)=pi/2:

-cos(pi/2)= -8cos0+C;

-8+C=0; ⇔ C=8, then

8cosx-cosy=8.

Answer Link

Otras preguntas

1. The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school? 2040 yards
In the long-run, a company that produces and sells popcorn incurs total costs of $1,150 when output is 70 canisters and $1,780 when output is 100 canisters. Whe
We have a circle with center K with an arc HJ with a measure of 40°. What is the measure of angle HIJ? 40° 60° 80° 20°
round 8.48 to the nearest tenth
Please, I need help with this question
¿Cuántas mujeres han sido elegidas presidentas en América Latina por un proceso democrático? O A. siete O B. nueve O C. cinco O D. ninguna
All the images for the Church are only found in the Old and New Testament. true or false
Nick bought a new car. each year the car depreciates in value by 12%. work out the number of years it takes for the car to half in value. ?
Tech A says that packing a wheel bearing assembly can be done by hand with proper results. Tech B says that packing a wheel bearing assembly with a bearing pack
Determine the interquartile range for the following data 1,15,16,16,19,24,25