Mainly need to be shown how to make the direction filed by hand
Please give me ?
Mainly need to be shown how to make the direction filed by hand In each of...
(a) Draw a direction field for the given differential equation. (b) Based on an inspection of the direction field, describe how solutions behave for large t. All solutions seem to approach a line in the region where the negative and positive slopes meet each other. The solutions appear to be oscillatory. All solutions seem to eventually have positive slopes, and hence increase without bound. If y(0) > 0, solutions appear to eventually have positive slopes, and hence increase without bound....
Please help me with the following thermo question from the picture and below continuation (b) Based on an inspection of the direction field, describe how solutions behave for large t. All solutions seem to eventually have negative slopes, and hence decrease without bound.All solutions seem to eventually have positive slopes, and hence increase without bound. The solutions appear to be oscillatory.If y(0) > 0, solutions appear to eventually have positive slopes, and hence increase without bound. If y(0) ≤ 0,...
MATLAB HELP (a) Use the command dsolve to find general solutions to the differential equations below. i. y 00 + 3y = 0 ii. y 00 + 4y 0 + 29y = 0 iii. y 00 − y/36 = 0 iv. y 00 + 2y 0 + y = 0 v. y 00 + 6y 0 + 5y = 0 (b) Graph each of the solutions in (a) in the same window with 0 ≤ t ≤ 10, using the...
Number 8 In each of Problems 7 through 10, draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y ast oo. If this behavior depends on the initial value of y at t 0, describe this dependency. Note that in these problems the equations are not of the form y ay+b, and the behavior of their solutions is somewhat more complicated than for the equations in the text.
Find the general solution of the given differential equation, and use it to determine how solutions behave as t → 0. y + 7y = t+e-5t QC. 0 Solutions converge to the function y =
In each of Problems 1 through 4 draw a direction field for the given differential equations. Based on the direction field, determine the behavior of y as t → +∞. If this behavior depends on the initial value of y at t = 0, describe this dependency. 1. y ' = 3 + 2y 2. y ' = 3 − 2y 3. y ' = −y(5 − y) 4. y ' = y(y − 2)2
Really struggling on how to determine the particular solution of the right hand side of the equation. How do you know where to start when solving for the Yp(t) equation? 5. Determine a real-valued fundamental set of solutions and the general solution of the nonhomogenous differential equation y"(t) – 2y'(t) + 10y(t) = 20² + 2t – 8
Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y at t -> oo. If this behavior depends on the initial value of y at t 0, describe this dependency. (b) y'-2t-1-y.
2. Differential equations and direction fields (a) Find the general solution to the differential equation y' = 20e3+ + + (b) Find the particular solution to the initial value problem y' = 64 – 102, y(0) = 11. (e) List the equilibrium solutions of the differential equation V = (y2 - 1) arctan() (d) List all equilibrium solutions of the differential equation, and classify the stability of each: V = y(y - 6)(n-10) (e) Use equilibrium solutions and stability analysis...
I tried to do all 3 problems and I am not be able to get. Help. Thanks. dy 3. Given the differential equati . sketch the direction field, using isoclines, and & a few representative solution curves. Include any linear solutions find linear solutions (of the form y mx + b) find the general solution of the equation ( create a new dependent variable w = V. Then find how砮and 응 are related. Then write down & solve a differential...