trigonometric substitution

Calculus
Tutor: None Selected Time limit: 1 Day

Jun 3rd, 2015

Thank you for the opportunity to help you with your question!

dy/dx=sqrt(x^2-25)/3x

y(x)=5/3*arcsin(5/|x|)+1/3*sqrt(x^2-25)+C

y(5)=5/3*arcsin(1)+C=5/3*Pi/2+C=3 so C=3-5/3*Pi/2=3-5Pi/6

Finally y(x)=5/3*arcsin(5/|x|)+1/3*sqrt(x^2-25)+3-5Pi/6

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jun 3rd, 2015
...
Jun 3rd, 2015
Feb 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer