The differential equation d^2y/dx^2 + 13dy/dx + 42y = 0 has auxiliary equation = 0 with roots Therefore there are two fundamental solutions Use these to solve the IVP d^2y/dx^2 + 13dy/dx + 42y = 0 y(0) = -7 y'(0) = 9 y(x) =
Added by Autumn Y.
Close
Step 1
The given differential equation is: $$y'' + 13y' + 42y = 0$$ The auxiliary equation is: $$m^2 + 13m + 42 = 0$$ Show more…
Show all steps
Your feedback will help us improve your experience
Syed Mustafa and 79 other Calculus 3 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
Madhur L.
The differential equation d2y/dx2 - 3dy/dx - 4y = 0 has auxiliary equation with roots Therefore there are two fundamental solutions Use these to solve the IVP d2y/dx2 - 3dy/dx - 4y = 0 y(0) = -8 y'(0) = -6 y(x) =
Find yc, yp, the general solution, and the definite solution, given: dy/dt + 4y = 12; y(0) = 2 dy/dt - 2y = 0; y(0) = 9. dy/dt + 10y = 15; y(0) = 0
Bcrypt_Sha256$$2B$12$We1Wwocamog01O5I.V2Tkouxdh4Ofnmgpwkor7Leaonfpu0Ubfpua B.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD