Midterm1practice - indicate on it the equilibrium solutions...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
NAME: Math 385 — Midterm 1 practice Total points: 100 . Please explain all answers. Calculators, computers, books and notes are not allowed. Suggestion: even if you cannot complete a problem, write out the part of the solution you know. You can get partial credit for it. 1. [20 points] Solve the following initial value problem for y = y ( x ): y 00 + 2 y 0 + 6 y = 0; y (0) = 0; y 0 (0) = 2 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
NAME: 2. [20 points] Solve the following initial value problem for u = u ( t ): d 3 u dt 3 = - e t ; u (0) = 0; u 0 (0) = 0; u 00 (0) = 2 2
Background image of page 2
NAME: 3. [20 points] The evolution of the population P ( t ) is described by the equation dP/dt = P 2 - 5 P + 6. Sketch the corresponding slope field and
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: indicate on it the equilibrium solutions and their stability. Consider then the population with initial condition P (0) = 4 and draw its evolution. What happens to this polulation as t increases? Verify your answer by calculating the exact solution for the given initial condition. 3 NAME: 4. [20 points] Solve the following initial value problem for x = x ( t ): dx dt + tx = te-t 2 / 2 ; x (0) =-1 4 NAME: 5. [20 points] Find the general solution of the following ODE for y = y ( x ): d 3 y dt 3-2 d 2 y dt 2 + 2 dy dt = 0 5...
View Full Document

Page1 / 5

Midterm1practice - indicate on it the equilibrium solutions...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online