Solve the following initial-value problem: cos(x) dy/dx + sin(x) y - 1 = 0, y(0) = 1

y= x + cosx

Step-by-step explanation:

now equation is in linear differential form

finding integrating factor;

I.F. =

using  y(0) = 1

1 = 0 +  c(cos 0)

c = 1

hence solution becomes

y= x + cosx

the answer to this question is in the pic

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: