Solve the differential equation. frac{dy}{dx} = 6x^2y^2 frac{1}{-2x^3 + K} for y ? 0
Added by Brianna M.
Close
Step 1
To solve it, we need to separate the variables x and y: (1/y²) dy = 6x² dx Now, we integrate both sides: Show more…
Show all steps
Your feedback will help us improve your experience
Hoan Nguyen and 53 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
9.1 1
Zhumagali S.
[6*ln(x)+9*x-1]^(1/3) 6 ln(x) + 9x - 1 incorrect The answer above is NOT correct. Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy/dx = (2 + 13x)/(xy^2); x > 0 with the initial condition: y(1) = 2 y = (6lnx+9x-1)^(1/3) Note: Your answer should be a function of x
Madhur L.
Jonathan S.
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