Ask
your own question, for FREE!
Mathematics
29 Online
y'+y/(sinx*cosx)=1/cosx; solve y?
Still Need Help?
Join the QuestionCove community and study together with friends!
Note that this is a linear differential equation of the form \[\frac{dy}{dx} + p(x)y = g(x)\] where \[p(x) = \frac{1}{\sin{x} \cos{x}}\]\[g(x) = \frac{1}{\cos{x}}\] Taking this into consideration, the integrating factor is \[u(x) = e^{\int p(x) \, dx} = e^{\int \frac{1}{\sin{x} \cos{x}} \, dx} = \tan{x}\] The solution is \[y(x) = \frac{\int u(x) g(x) \, dx + c}{u(x)} = \frac{\int \frac{\tan{x}}{\cos{x}} \, dx+ c}{\tan{x}} = \frac{\sec{x} + c}{\tan{x}}\]
thank you very much
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
XxXImHerXxX:
The fakest people who talk Pizza about you are going to be the fakest but it would describe the person you are but more about them.
MakaylaChuck23:
Do you think a learning disability/autism is a "reason" to excuse your lack of behavior? I'm generally curious.
gelphielvr:
Is there a gender neutral pronoun in German? Like a non gendered pronoun that you
Yosad930:
okay ik this is such a random question and i dont even know many people who knows about this much bout its bout the marines.
Breathless:
idk why but am taking it kinda slow on this one BUT it is looking good!
struglynnnn:
7(3+2x) + x =66 whats the value of x and what steps did u follow to find the valu
1 hour ago
8 Replies
0 Medals
1 hour ago
13 Replies
3 Medals
2 days ago
2 Replies
1 Medal
1 day ago
19 Replies
5 Medals
1 day ago
14 Replies
7 Medals
2 days ago
2 Replies
1 Medal