Solve the initial value problem. y^(iv) - 9y'' - 400y = 0, y(0) = y'(0) = y'''(0) = 0, y''(0) = 205 y = 51e^(5t) + 34e^(-5t) + 120cos(4t) + 30sin(4t)
Added by George A.
Close
Step 1
Step 1: The general solution to the differential equation is given by \(y(t) = c_1 e^{5t} + c_2 e^{-5t} + c_3 e^{t} \cos(4t) + c_4 e^{t} \sin(4t)\). Show more…
Show all steps
Your feedback will help us improve your experience
Vishal Parmar and 52 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
Solve the given initial value problem. y'' + 4y = 0; y(0) = 5, y'(0) = 1 y(t) =
Sri K.
Find the solution of the initial value problem y'' + 2y' + 5y = 16e^(-t)cos(2t), y(0) = 6, y'(0) = 0
Madhur L.
Solve the given initial-value problem. $$y^{\prime}=y^{3} \sin x, \quad y(0)=0$$
First-Order Differential Equations
Separable Differential Equations
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD