Solve the differential equation y(ln x)^6 - 7x dy = 0 using separation of variables.
Added by Jose Ignacio S.
Step 1
Step 1: Rewrite the differential equation in the form dy/dx = f(x)g(y) Given differential equation: y(ln x)^6 - 7x dy = 0 Rearrange the terms to isolate dy: y(ln x)^6 = 7x dy Divide both sides by 7x: y(ln x)^6 / 7x = dy Now, rewrite the equation in the form Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 56 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve the given differential equation by separation of variables dy/dx = (xy + 6y - x - 6) / (xy - 7y + x - 7)
Adi S.
Solve the given differential equation by finding an appropriate integrating factor: (6x - y + 6) dx + (6x^2y) dy = 0
Solve the given differential equation by separation of variables: x(dy/dx) = 6y
Jeremy G.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD