This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: dy dx = 2 x + 3 y , y (0) = 10. To help in keeping your work organized, fill in the following chart with the values at the intermediate steps. x y 0.0 10. 0.2 0.4 0.6 0.8 1.0 5. (15 points) Find the general solution of the following differential equation, and write y as an explicit function of x. dy dx = y 4 5 6. (20 points) The separable differentiable equation dx dt + x 2 = x occurs in certain biological problems. (a) Find the general solution of this differentiable equation, with x written as an explicit function of t. For each of the following initial conditions, determine what happens to the solution of the initial value problem as t ! + " : Does it converge to !" , 0, 1, or + ! ? Explain your answer. ( Note: These parts of the problem can be answered without knowing the solution of the d.e. from part (a).) (b) x (0) = 0.1 (c) x (0) = ! 0.1...
View
Full Document
 Spring '08
 FALCO
 Boundary value problem, Uniqueness Theorem

Click to edit the document details